Part B. Given a plant Gfs) G(s)=1G21 G22 Where ,G21 = s(s + 1),U22-s+ 1 GI 1 (s) =54T,G12-s+1 Andacon pensator D(s)=1D11 D12-sed to decouple thesystem. Design a compensator D(s) such that the com...
urgent!
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator that satisfies the following specifications must by the compensated system 1. The steady-state error for a unit ramp input must be 0.002; 2. The compensated phase margin must be approximately 48; must be approximately 25 rad/sec.
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Please solve parts (a) and (b) neatly and show problem solving.
Ignore reference to part 1, but please still plot the root
loci.
For the system given in Figure 1 a) Design a PD compensator with the transfer function: to give a dominant root of the closed-loop characteristic equation of the compen- sated system at s -1+j1 (i.e., a settling time Ts of less than 6 seconds and a maximum overshoot Mo of less than 10%). Required Pre-Practical work] (b)...
Problem 2: Given the plant G,le)+2( +3) design a PI compensator Gc(s)-K Ш such the closed-loop unity feedback system has two dominant poles at s1.2 =-1 ±j. Using Matlab ritool (or simulink), simulate your closed loop system to show that the unit-step response of the system has PO ~ 4.3%, tr 2.35 sec, and 4 ะ 4.15 sec. Compute the closed-loop poles and zeros.
Question 1 (60 points) Consider the following block diagram where G(s)- Controller R(s) G(s) (a) Sketch the root locus assuming a proportional controller is used. [25 points] (b) Design specifications require a closed-loop pole at (-3+j1). Design a lead compensator to make sure the root locus goes through this point. For the design, pick the pole of the compensator at-23 and analytically find its zero. (Hint: Lead compensator transfer function will be Ge (s)$+23 First plot the poles and zeros...
20pts Given G(s) below under the unity feedback in Fig. 1, below under the unity feedback in F1 G)4s+ 15) (a) Design a lead compensator such that the dominant pole sd-1.33+2.64j (b) Discuss whether the second-order system approximation assumption is valid C(s)
20pts Given G(s) below under the unity feedback in Fig. 1, below under the unity feedback in F1 G)4s+ 15) (a) Design a lead compensator such that the dominant pole sd-1.33+2.64j (b) Discuss whether the second-order system approximation...
Question 1 (60 points) Consider the following block diagram where G (s) Froarss RMs) GIs) Gls) (a) Sketch the root locus assuming a proportional controller is used. (b) Assume design spocifications require a closed-loop pole at (-3+ j1). Design a lead compensator sure the root locus goes through this point. For the design, pick the pole of the compensator at -23 and analytically find its zero location. (c) Sketch the root locus with the lead compensator in place.
Question 1...
- 4. Full State Feedback and Observer Design Consider the plant s + 1 G(s)- (s + a(s +8(s +10) where a-1. a) Find a convenient state space representation of model G(s) . b) Using place design a controller for the system that puts the poles at -1 and-2 +-2 . c) Using place design an observer with poles at-10,-11 and-12 d) Simulate the states with the state estimates overlaid e)Find a state space representation of the closed loop system...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
7.16C). Given the control system shown in Figure P7.16 where the plant transfer function G(o) is given by 2.0 design a PID controller for this system. Cis) R(s) 2.0 sis+ 1)(s+3) Plant PID controller FIGURE P7.16
7.16C). Given the control system shown in Figure P7.16 where the plant transfer function G(o) is given by 2.0 design a PID controller for this system. Cis) R(s) 2.0 sis+ 1)(s+3) Plant PID controller FIGURE P7.16