cruise control closed loop system

Closed-loop transfer function. HT{TWOIb2IQRa}Ey FH|P++uK"*Z_k}v|k;ci=3wo~YXl6qyNX.#93\H`,34e,L"JiB]Y\62~SN"zI$~R)O[\.0[6lbY29UNUd6QfI/X!7#dSR3s/CRK1CSHV*qbieV:nKr9:D^g\wn7xA1gBY}j]k'c6a6w&~>Y To reduce the steady-state error, a lag controller will be added to the system. We deliver solutions for today and tomorrow. load cell, string-pot, encoder). No thanks, I want to continue to the website. The dynamics are represented by three transfer functions denoting the response of the engine torque to throttle . The cruise control system controls the speed of your car the same way you do - by adjusting the throttle (accelerator) position. You set a speed, which is your COMMAND value. Y; :ZGRYDn lX]F'U;^fS-Gk%dB.!\A2p=/mcgpjQf>WdjkVN )%)_C=Pf;Wy(iC@xkC3yk1FZGqboG;.y RIT!bp`2" q>&fs-`f8\xA&RKg(ddlS+y]~_z4 +>2OD)_hu ^gA1 '#zN| TGOg5\6\mu`U.,0BTK)7Zp, j+{i~mum#Gr2=)8N$YjjLY1x"A}}-KLVLwXCZ(\F`z`}nKVnQH:=:[3w~`"p/J"C^$\#Un}7?dB2Pmz0-A?Nq_?Yioq>5>eFO.dh1x/i4egw OF. In a closed loop system, the transfer function defines the mathematical relationship between the input and the output. Create a new m-file and enter the following commands. . Gas Pedal (Throttle) Speed Cruise Control The open-loop systems achieve an output state at some equilibrium (steady state) point. You can replace the switch with a load cell or string-pot and stop the move at a particular feedback level. Cruise-control-design-using-PID. The entire construction requires a sensor for taking input, some sort of controller which performs the action and a feedback taken from the output. These elements comprise the essentials of a feedback control system: the process (the system to be controlled), the process variable (the specific quantity to be measured and controlled), the transmitter (the device used to measure the process variable and output a corresponding signal), the controller (the device that . ADAS (Advanced Driver Assistant System), Computer Graphics, Open GL, Unity-3D, C++, C#, Virtual Simulations, SiL(Software in Loop), Open Loop and Closed Loop Simulations, EBA (Emergency Brake Assist), ACC (Adaptive Cruise Control), 3D-Visualization, Carmaker. Biologists want to call that homeostasis but us engineers . One such best consideration of closed loop control system would be cruise control system. The relationship of the throttle to speed is not direct as many factors can influence it, such as cargo weight, hill incline and wind resistance based on speed. Adaptive cruise control system is an advanced method of controlling the speed of the moving vehicle. Recall from the Introduction: Root Locus Controller Design page, the root-locus plot shows the locations of all possible closed-loop poles when a single gain is varied from zero to Every voyage on a ship that's not U.S. flagged, departing from and returning to a U.S. port must, according to maritime law . As you can see, the steady-state error has been reduced to near zero. Without feedback, there is no guarantee that the control efforts applied to the process will actually have the desired effect. IEEE Control Systems Magazine, Feb. 2006, Special issue on PID control . Hb```VVa20p4 9`!}{g77pa~y s K The output of the closed loop system is the desired temperature and it depends on the time during which the supply to heater remains ON. You set a speed, which is your COMMAND value. A lot of closed-loop control systems look great on paper, but their imperfections become clear in execution. In practice, says Stuyvenberg, it's not often the case, and the advantages of using a closed loop system . The semi-ellipse 0000000711 00000 n For more information on cruise control, check out the links below. should be able to accelerate up to that speed in less Don't worry, you don't need to know any calculus to make it through this explanation -- just remember that: A PID control system uses these three factors -- proportional, integral and derivative, calculating each individually and adding them to get the throttle position. The dawn of physiological closed-loop ventilationa review The main parts of the closed-loop system are the controller, converter, current limiter, current sensor, etc. x8KNtHax?s|.X7nX~-xEGhu{|.=]bojjv 6@oFUa\Z{_i? A common example of a control system is the cruise control in an automobile: The cruise control manipulates the throttle setting so that the vehicle speed tracks the commanded speed provided by the driver. Now let's see how the open-loop system responds to a step input. and the dynamics of the speed measurement, We assume that a one percent increase in grade introduces 150 Newtons of force in opposing the car acceleration, that is, The controller is assumed to be a proportional-integral control written as, This can be summarized in the following block diagram. In the process, it will go into details of the following topics: 1. h . You can increase the proportional gain, , to reduce the rise time and the steady-state error. Cruise control technology review - ScienceDirect 0000032617 00000 n Closed ecological system not relying on matter exchange outside of the system, as opposed to open loop. This difference, called ERROR, is used to send more or less gas to your engine. Have operational experience in crisis areas like Bosnia as well in Afghanistan. This is a closed loop cruise. For this example, let's assume that. with the closed-loop transfer function, T, derived above. Have any questions? For example, a cloud orchestration system may detect high server load and cause an automated process to generate and deploy new servers to better handle it. If the inertia of the wheels is neglected, and it is assumed that friction (which is proportional to the car's speed) is what is opposing the motion of the car, then the problem is reduced to the simple mass and . Therefore it is not necessary to have a very precise . Open & Closed Loop Control System Examples (*hx$lFBSi`m2MQV1h#n$2o-, That blog also explains a little about PID control . Closed loop control systems are widely used in industry applications, including agriculture, chemical plants, nuclear power plants, water treatment plants and environmental control. To overcome the limitations of the open-loop controller, control theory introduces feedback.A closed-loop controller uses feedback to control states or outputs of a dynamical system.Its name comes from the information path in the system: process inputs (e.g., voltage applied to an electric motor) have an effect on the process outputs (e.g., speed or torque of the motor), which is measured with . . The . If the car starts to slow down, the cruise control can see this acceleration (slowing down and speeding up are both acceleration) before the speed can actually change much, and respond by increasing the throttle position. controller. They dont respond to changes during testing the same way that closed loop systems do, which means the operator may not be aware of variations or disturbances that occur during testing. An Open-Loop Control System is something like the cruise control found in cars. A simple block diagram of internal model control is given by. The cruise control system of a car is a common feedback system encountered in everyday life. Closed loop control systems contrast with open loop control systems, which require manual input. But if accuracy is a critical part of your testing process or it would make more sense to have automated responses to disturbances during testing instead of using human oversight, closed loop controls are a better option. than 5 seconds. The model of the cruise control system is relatively simple. A 2% steady-state error is also acceptable for the same reason. Closed-loop control systems typically operate at a fixed frequency. la`0h'CAJ#Wd(cAn This works in a similar way to the brake booster, which provides power to your brake system. endstream endobj 207 0 obj << /Type /ExtGState /SA false /OP false /HT /Default >> endobj 208 0 obj << /Filter /FlateDecode /Length 14428 /Subtype /Type1C >> stream Closed loop - Wikipedia Briefly describe how cruise control in a car acts as a closed loop What is a Control System? Open & Closed Loop Control System Examples HW[~TEdM,5drf_s,;I]0&sw.ayq]Dy The overshoot is a result of the zero added in the lag Closed-loop System and Closed-loop Control Systems Overshoot < 10% Block diagram of the Cruise control system - ResearchGate loop function in a manner that produces the desired closed-loop performance characteristics. 0000071444 00000 n 0000023314 00000 n Innkeeper LLC is experienced in developing complete. Such system takes feedback from outut and performs the required action accordingly. Solved 1. Automatic toasters is an example of an open loop - Chegg Closed-loop control systems typically operate at a fixed frequency. 2. 0000003310 00000 n The control and controlled process are the two components of the open loop system. (True/False) A controller that computes its input from a system using only the current state and its model of the system is known . PDF Introduction to Control Systems - University of Ottawa Damping Ratio in Control System : Formula & Its Significance 0000002185 00000 n In this article, we'll learn how a conventional cruise control system works, and then we'll take a look at adaptive cruise control systems that are under development. When finding 5.2 Closed-Loop Transfer Functions for Car Cruise Control difference between the open and closed loop systems. Below is the block diagram for a cruise control system. Cruise control simulation using matlab - SlideShare For these reasons, let equal 0.3 and equal 0.03. Some advanced versions of cruise control can stop your vehicle if needed. Translation: the difference between the distance your car actually traveled and the distance it would have traveled if it were going at the desired speed, calculated over a set period of time. Defining the transfer function of the system based on the gain and the desired state may require careful calculation for best results. 1. Open loop and closed loop. You should see the following plot. By reducing the unity feedback block diagram, the closed-loop transfer function with a proportional controller becomes: Recall from the Introduction: PID Controller Design page, a proportional controller, , decreases the rise time, which is desirable in this case. Add the code [Kp,poles]=rlocfind(P_cruise) onto the end of your m-file to help you choose a specific loop gain. simulate the behavior of the closed-loop system; plot the closed-loop system step response It also needs to monitor the controls so it can tell what the desired speed is and when to disengage. document.getElementById( "ak_js" ).setAttribute( "value", ( new Date() ).getTime() ); We listen and understand our customers needs and problems. Ecological sanitation systems or ecosan, intended to close the nutrient and water cycle. Difference Between Open Loop & Closed Loop System - Circuit Globe c. 0.02 has little inuence on the behavior of the closed loop system since it is an order of mag-nitude smaller than 2. The frequency of changes to the drive signal is usually the same as . The diagram below shows the inputs and outputs of a typical cruise control system. :}~iedRb$?W Pg 1tk7jyx@`#`@ae@E TuDcCi\g#kG\nFW*55]]6!Rf content is available on Github. Physical setup and system equations. Cruise Control: Root Locus Controller Design - University of Michigan Many cars are fitted with cruise control that, at the press of a button, automatically maintains a set speed. However, cruise control engages the throttle valve by a cable connected to an actuator, rather than by pressing a pedal. It easier to build. As a U.S. citizen, you will not need a valid passport to leave and re-enter the United States this way. Note that the value returned from your MATLAB command window may not be exactly the same, but should at least have the same A simple example of a closed loop control system is a home thermostat. overview of adaptive cruise control system, operation principles and the advantages of integrating ACC system in automobiles. The result is that the closer the car gets to the desired speed, the slower it accelerates. Block diagrams allow you to visualize the flow of information in complex dynamical systems. When the engine gives a 500 Newton force, the car The proportional control increases the throttle a little, but you may still slow down. 0000001873 00000 n PDF Example: Modeling a Cruise Control System in Simulink What Is a Closed Loop Cruise? This paper retraces the history of the automobile cruise control technology since the 1950s. We recommend that everyone taking a cruise from the United States have a passport book. :URG+_#0if\a8yT#Io{+*(#bVG&7=Dj9bDZ)_pFi0,_x9fnb"^q6i 4u+/)$q(VnW%Va5sm33HN@z0 SX(]A A closed loop system is also referred as a feedback control system. The key difference between these types of control systems involves how they handle feedback. Vout is the actual speed on the speedometer. The pale blue device calculates the error: e = Vin - Vout The However, this new system can automatically adjust speed in order to maintain a proper distance between vehicles in the same lane. If, however, you depart from Miami, sail through the Panama Canal, visiting a foreign port on the way, and disembark in Los Angeles, you have not been on a closed loop cruise, even though both your departure and . When you add resistance to the blower it will work up to 100% of the voltage provided. hb```f``e`a``cd`@ +s(;8 3W8%P#'dbPd#$tRY{z%bm'pt0Htt0pt40)0Zb\% XHPJ$& |yqABZps3S4#vS?0-XX@>pf`Q Closed-loop control systems are found in many industrial and commercial applications to maintain quality, accuracy . A closed-loop cruise is a cruise that departs and ends in the same U.S. port, for example, Fort Lauderdale to Fort Lauderdale, or round-trip to Alaska from Seattle. Create a new m-file and enter the following commands. Adaptive cruise control is just a preview of the technology being developed by both companies. !zUA4u3O3i.wPfyCQ}CwrBA=w^z^'? From the first equation, we see that the natural The Components of a Control Loop - Control Guru 377 0 obj <> endobj My personal favorite example of a closed loop system is the human body. 390 0 obj <>/Filter/FlateDecode/ID[<7B5CF40CFA8EBD40B4B052DE36D595CE>]/Index[377 38]/Info 376 0 R/Length 75/Prev 244464/Root 378 0 R/Size 415/Type/XRef/W[1 2 1]>>stream Control Systems Lectures - Closed Loop Control - YouTube Two variants of ACC are provided: a classical controller and an Adaptive Cruise Control System block from Model Predictive Control Toolbox. Example: Modeling a Cruise Control System in Simulink A closed-loop control system. However, Controlling the speed of a car is a classic application of control system theory. 0000000992 00000 n Y\\!(= W Dal;$3pi V310;aRpf{'u2C6+f5r{Hrva]~$,/V0i+`D}X: k Lj#E endstream endobj 211 0 obj 742 endobj 198 0 obj << /Type /Page /Parent 184 0 R /Resources 199 0 R /Contents 206 0 R /MediaBox [ 0 0 595 842 ] /CropBox [ 0 0 595 842 ] /Rotate 0 >> endobj 199 0 obj << /ProcSet [ /PDF /Text ] /Font << /F9 200 0 R /F15 203 0 R /F17 205 0 R >> /ExtGState << /GS1 207 0 R >> >> endobj 200 0 obj << /Type /Font /Subtype /Type1 /Name /F9 /FirstChar 1 /LastChar 255 /Widths [ 333 611 611 167 333 667 315 333 333 278 333 606 278 611 481 333 315 278 278 278 278 278 278 278 278 278 278 278 278 333 204 278 296 389 556 556 833 815 204 333 333 500 606 278 333 278 278 556 556 556 556 556 556 556 556 556 556 278 278 606 606 606 444 737 722 722 722 778 722 667 778 833 407 556 778 667 944 815 778 667 778 722 630 667 815 722 981 704 704 611 333 606 333 606 500 204 556 556 444 574 500 333 537 611 315 296 593 315 889 611 500 574 556 444 463 389 611 537 778 537 537 481 333 606 333 606 278 278 278 204 556 389 1000 500 500 333 1000 630 259 1000 278 278 278 278 278 278 389 389 606 556 1000 333 1000 463 259 833 278 278 704 278 296 556 556 556 556 606 500 333 737 334 426 606 333 737 333 400 606 333 333 333 611 606 278 333 333 300 426 834 834 834 444 722 722 722 722 722 717 1000 722 722 722 722 722 407 407 407 407 778 815 778 778 778 778 778 606 778 815 815 815 815 704 667 574 556 556 556 556 556 556 796 444 500 500 500 500 315 315 315 315 500 611 500 500 500 500 494 606 500 611 611 611 611 537 574 537 ] /Encoding 202 0 R /BaseFont /NewCenturySchlbk-Roman /FontDescriptor 201 0 R >> endobj 201 0 obj << /Type /FontDescriptor /Ascent 737 /CapHeight 722 /Descent -205 /Flags 34 /FontBBox [ -195 -250 1000 965 ] /FontName /NewCenturySchlbk-Roman /ItalicAngle 0 /StemV 92 /XHeight 464 /FontFile3 208 0 R >> endobj 202 0 obj << /Type /Encoding /Differences [ 1 /dotaccent /fi /fl /fraction /hungarumlaut /Lslash /lslash /ogonek /ring 11 /breve /minus 14 /Zcaron /zcaron /caron /dotlessi 30 /grave /quotesingle 130 /quotesinglbase /florin /quotedblbase /ellipsis /dagger /daggerdbl /circumflex /perthousand /Scaron /guilsinglleft /OE 147 /quotedblleft /quotedblright /bullet /endash /emdash /tilde /trademark /scaron /guilsinglright /oe 159 /Ydieresis 164 /currency 166 /brokenbar 168 /dieresis /copyright /ordfeminine 172 /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu 183 /periodcentered /cedilla /onesuperior /ordmasculine 188 /onequarter /onehalf /threequarters 192 /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis ] >> endobj 203 0 obj << /Type /Font /Subtype /Type1 /Name /F15 /Encoding 202 0 R /BaseFont /Helvetica-Bold >> endobj 204 0 obj << /Type /FontDescriptor /Ascent 732 /CapHeight 681 /Descent -228 /Flags 34 /FontBBox [ -188 -251 1266 908 ] /FontName /ILEDOL+Bookman-Light /ItalicAngle 0 /StemV 96 /XHeight 484 /CharSet (/s/F/three/i/t/S/d/four/I/u/five/k/l/six/m/w/x/seven/n/y/b/o/eight/c/C/p\ /nine/fi/e/D/a/P/one/f/r/g/two) /FontFile3 209 0 R >> endobj 205 0 obj << /Type /Font /Subtype /Type1 /Name /F17 /FirstChar 1 /LastChar 255 /Widths [ 260 620 620 140 380 600 320 320 320 320 460 600 320 640 480 420 300 320 320 320 320 320 320 320 320 320 320 320 320 340 220 320 300 380 620 620 900 800 220 300 300 440 600 320 400 320 600 620 620 620 620 620 620 620 620 620 620 320 320 600 600 600 540 820 680 740 740 800 720 640 800 800 340 600 720 600 920 740 800 620 820 720 660 620 780 700 960 720 640 640 300 600 300 600 500 220 580 620 520 620 520 320 540 660 300 300 620 300 940 660 560 620 580 440 520 380 680 520 780 560 540 480 280 600 280 600 320 320 320 220 620 400 1000 540 540 420 1280 660 240 1240 320 320 320 320 320 320 400 400 460 500 1000 440 980 520 240 900 320 320 640 320 300 620 620 620 620 600 520 420 740 420 360 600 400 740 440 400 600 372 372 340 680 600 320 320 372 420 360 930 930 930 540 680 680 680 680 680 680 1260 740 720 720 720 720 340 340 340 340 800 740 800 800 800 800 800 600 800 780 780 780 780 640 620 660 580 580 580 580 580 580 860 520 520 520 520 520 300 300 300 300 560 660 560 560 560 560 560 600 560 680 680 680 680 540 620 540 ] /Encoding 202 0 R /BaseFont /ILEDOL+Bookman-Light /FontDescriptor 204 0 R >> endobj 206 0 obj << /Length 1979 /Filter /FlateDecode >> stream In order to simulate an open loop and a closed loop control system and to analyze the behavior of the vehicle for a given input and disturbance, we'll need to model it mathematically. Please see the Cruise Control: System Modeling page for the derivation. As you can see from the plot, neither the steady-state indicates the locations of constant natural frequency (=0.36); the natural frequency is greater than 0.36 outside the semi-ellipse, and smaller than 0.36 inside. 2Z?jPedtIh`"uQE*1U?3 [)X&DO&XX#AB.cG! Cruise control Python Control Systems Library dev documentation The below figure shows the block diagram of a closed-loop control system. Electrical Engineering questions and answers. 0000001030 00000 n What is a closed loop control system and how does it work? 5.2.2 Block Diagram for Car Cruise Control. Plot the step response and adjust all of , , and until you obtain satisfactory results. What is a Closed Loop Control System & Its Working - ElProCus In this way, the driver can cruise at a speed . H 0&"s4{L].1WVA){Dc~rI*B1SO9?.d"'N!Q)4v!/vF$ic;GiW Wa}{ With the gain Kp you just chose, the rise time and the overshoot criteria have been met; however, a steady-state error of It connects to the throttle control seen in the previous section, as well as several sensors. Both diagrams above show a closed loop system based on negative feedback. at the end of the m-file and run it in the Matlab command window: You should get the same plot as the one shown above. When equals 800 and equals 40, the step response will look like the following: For this particular example, no implementation of a derivative controller was needed to obtain the required output. ][^QXr/d4 10 Wq"H.e3X)TgoJH!>!=&*(`n]=k8*^ :HtN,,Omcdv#t:\qT^?X,+M^LdNeG^V+CUCGHrFPh:n. Since closed loop controls are more responsive to changes during the testing process, closed loop control systems are more accurate and repeatable than open loop controls. :>''N Q$sw1jlJED*K~7m'.3\]22}\W+>G3T3^63qBwYf59lqjNkdN*#E/ m&CWX3>_3_8;;63(%]-E`ip_@G,d.Yl@6"/{*{+{O([S^?EQKDj=6S_S%^:B54E_Qt"-3|.Ut=}>IwkM.~7MwLm4 &Ba2D6't&.+&^.W* YV@;w=L1dviEA`>:BJfC)8[@B74W$x{zqdkn/epgQ&>83Eg[`g The cruise control system controls the speed of the car by adjusting the throttle position, so it needs sensors to tell it the speed and throttle position. Coaxial cable is a type of copper cable specially built with a metal shield and other components engineered to block signal Megahertz (MHz) is a unit multiplier that represents one million hertz (106 Hz). cruise control system with a PID controller () is: Let equal 1, equal 1, and equal 1 and enter the following commands into a new m-file. Also using the second equation, we see that the damping ratio must be greater than 0.6, !_nB-uu4L.g3 4N%;dlWR*k:Kk: YB9|]wk`K'sj\"3Ke]u,+ Since you want to pick a point in between dotted lines (>0.6) and outside the semi-ellipse (>0.36), click on the real axis just outside the semi-ellipse (around -0.4) as indicated by the cross mark in the following In the closed-loop system, the desired output depends on their input. The parameters used in this example are as follows: The block diagram of a typical unity feedback system is shown below. You wish to design a cruise controller that will adjust the throttle position $u$ within the limits 0 to 1 in order to maintain constant speed. How Cruise Control Systems Work | HowStuffWorks CONTROL DESIGN AND ANALYSIS OF CRUISE CONTROL SYSTEM - ResearchGate Top 10 Examples of Closed Loop Control Systems [Practical Applications] How Does The Cruise Control System In Cars Work? - Science ABC The first control system device was James Watt's Flyball governor, which was invented in 1767. A Closed-loop Control System, also known as a feedback control system is a control system which uses the concept of an open loop system as its forward path but has one or more feedback loops (hence its name) or paths between its output and its input. The controller will The change on the output by the input or the relationship between the detected sensor value is known as the gain of the system. Closed loop systems | Diabetes tech | Diabetes UK criteria for this problem: Rise time < 5 sec For now, let equal 600 and equal 1 and see what happens to the response. Feedback Loop Components. The development of these systems has followed a similar path to that of manual clinical ventilation, starting with ensuring optimal gas exchange and shifting to the prevention of ventilator . 'KU5`U~g)hn>Uu~wTXQwp\^1D>E(Kw:!NLL_.HL3{t( 0O.5.f#u^Zmw(B --*EGiPLg1S8R([k{hA);Yi$^c+Xp]\O/I^PLIb]QQI f *mkFc7D "!\.kD- r 3cAC/ tc71o~Ub3|e51\dm' S[d4:Q+qun The aim of inventing Flyball governor was to keep the speed of the engine constant by regulating the supply of the steam to the engine. It will continue to get hotter with no adjustment, up to its maximum level, allowing you to keep the temperature at a set point. Basic Feedback Control Principles | Closed-loop Control Systems | Textbook Introduction: Root Locus Controller Design. In a proportional control system, the cruise control adjusts the throttle proportional to the error, the error being the difference between the desired speed and the actual speed. And a continuous glucose monitor (CGM) can cost about 2000 a year. be generated as follows. ?&:2Pug&*0D;Bha>?t'.VPM.LK4'7M9d k u EyVdd /Z These systems use a small, electronically-controlled valve to regulate the vacuum in a diaphragm. The stability of this system can be controlled by a feedback system. 0000004972 00000 n C1CC^{"93,c~A]]E9v$1l748XD4{ k endstream endobj 84 0 obj 294 endobj 64 0 obj << /Type /Page /Parent 57 0 R /Resources 65 0 R /Contents 72 0 R /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Rotate 0 >> endobj 65 0 obj << /ProcSet [ /PDF /Text ] /Font << /TT2 69 0 R /TT4 68 0 R /TT5 66 0 R /TT7 74 0 R >> /ExtGState << /GS1 79 0 R >> /ColorSpace << /Cs6 70 0 R >> >> endobj 66 0 obj << /Type /Font /Subtype /Type0 /BaseFont /IJJOGH+Wingdings-Regular /Encoding /Identity-H /DescendantFonts [ 82 0 R ] >> endobj 67 0 obj << /Type /FontDescriptor /Ascent 891 /CapHeight 656 /Descent -216 /Flags 34 /FontBBox [ -568 -307 2028 1007 ] /FontName /IJJOAJ+TimesNewRoman /ItalicAngle 0 /StemV 94 /XHeight 0 /FontFile2 76 0 R >> endobj 68 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 146 /Widths [ 250 0 0 0 0 833 0 0 333 333 0 0 250 333 250 278 500 500 500 500 500 500 500 500 500 500 0 0 0 0 0 0 0 722 667 667 722 611 556 722 722 333 0 0 611 889 722 722 556 0 667 556 611 722 722 944 0 0 0 0 0 0 0 0 0 444 500 444 500 444 333 500 500 278 278 500 278 778 500 500 500 500 333 389 278 500 500 722 500 500 444 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 333 ] /Encoding /WinAnsiEncoding /BaseFont /IJJOAJ+TimesNewRoman /FontDescriptor 67 0 R >> endobj 69 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 121 /Widths [ 250 0 0 0 0 0 0 0 0 0 0 0 0 333 250 0 500 500 500 500 500 500 500 500 500 500 333 0 0 0 0 0 0 722 667 722 722 667 611 778 0 389 0 778 667 944 722 778 611 0 722 556 667 722 722 0 722 722 0 0 0 0 0 0 0 500 556 444 556 444 333 500 0 278 0 556 278 833 556 500 556 0 444 389 333 556 0 0 500 500 ] /Encoding /WinAnsiEncoding /BaseFont /IJJNLI+TimesNewRoman,Bold /FontDescriptor 71 0 R >> endobj 70 0 obj [ /ICCBased 78 0 R ] endobj 71 0 obj << /Type /FontDescriptor /Ascent 891 /CapHeight 656 /Descent -216 /Flags 34 /FontBBox [ -558 -307 2034 1026 ] /FontName /IJJNLI+TimesNewRoman,Bold /ItalicAngle 0 /StemV 160 /XHeight 0 /FontFile2 75 0 R >> endobj 72 0 obj << /Length 2175 /Filter /FlateDecode >> stream

Smud Electrical Panel Replacement, Dolphy Jr Death, Our Town Stage Manager Final Monologue, Single Wide Mobile Homes For Sale In Idaho, Articles C