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Project 4 — Control Systems Assignment

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Added on  2019-10-30

Project 4 — Control Systems Assignment

   Added on 2019-10-30

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Project 4 — Control SystemsSUBMITTED BY:CLASS (COURSE) NAME:TUTOR (PROFESSOR):SCHOOL NAME:THE CITY/STATE:DATE:
Project 4 — Control Systems Assignment_1
Question 1 – Stunt ControlDeveloping a suitable P, PI, PD and PID controller in MATLAB and demonstrating the robustness of the systems with simulations of various scenarios and conditions. The project involve traction controls which are broadly used control systems in automotive applications for increasing safety and stability of a motorbike. The control systems includes ESP electronic stability programs used in ICV (internal combustion-engine vehicle), ASR (anti_Slip regulations) and ABS (antilock brake systems)[ CITATION Pas08 \l 1033 ]. Deriving the transfer function of the motorbike. Consider figure 1.0 below:[ CITATION ROB09 \l 1033 ]Figure A: Diagrammatic representation of the motorcycleThe dynamics of a moving motorbike is given by the following equation 1:h ̈φ=[(1−hσsin(φ))σv2+b( ̈ψ+ ̇v(σ− ̇φv))]cos(φ)..............1Where v is the forward velocity of the motorbike. The yaw rate and the curvature are linked in equation 2 below:h ̈φ=gsin(φ)−tan(δ)(v2ω+b ̇vω+tan(φ)(vbω ̇φ−hv2ω2))−bv ̇δwcos2(δ).............2Equation 2 can be linearized to form equation 3 below:Hφδ(s)=−bvωh(s+vbs2−gh)..............3
Project 4 — Control Systems Assignment_2
MATLAB design resultsContentsdesign of the motorbike transfer functiondesign of PROPOSANAL CONTROLLERdesign of PROPOSANAL-INTEGRAL (PI) CONTROLLERdesign of PROPOSANAL-DERIVATIVE (PD) CONTROLLERdesign of PROPOSANAL-INTEGRAL-DERIVATIVE (PID) CONTROLLERDesign of the motorbike transfer functionP =(25*(s + 1000))/(s^2 - 981/80)design of PROPOSANAL CONTROLLER 2000 K (s + 1000) ---------------------------------- 2 80 s + 2000 K s + 2000000 K - 981X1 = RiseTime: 0.3097 SettlingTime: 3.8523 SettlingMin: 3.9306e-004 SettlingMax: 7.1900e-004 Overshoot: 43.8726 Undershoot: 0 Peak: 7.1900e-004 PeakTime: 0.8213
Project 4 — Control Systems Assignment_3
design of PROPOSANAL-INTEGRAL (PI) CONTROLLERThe Closed Loop Transfer Function given a PI controller is(2000 K (Ti s + 1) (s + 1000)) / 3 (2000000 K + 2000 K s - 981 Ti s + 80 Ti s + 2 2000000 K Ti s + 2000 K Ti s )X2 = RiseTime: 36.4797 SettlingTime: 65.1725 SettlingMin: 0.8141 SettlingMax: 0.8996 Overshoot: 0 Undershoot: 0 Peak: 0.8996 PeakTime: 129.8356
Project 4 — Control Systems Assignment_4

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