Substituting E(s):
substituting C(s) and P(s)
it’s linear control system R-YS T Nay1 Plant ontrol o J.9 S(St29) TN Lind s) R-YS T Nay1 Plant ontrol o J.9 S(S...
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
An automatic feedback control system is shown below. G(o), H(o), and Gc(o) are such that G(s) H(s) = +1 1 = unction Gcu(s) relating Y(9) to R(s) (b) What is the system order? (c) If Tp(s) = 0, in terms of K and τ determine what value(s) of K, (if any) will result in an undamped closed-loop system Td (s) Y (s) PID R(s) Gc (s) Plant G(s) Sensor H(s) An automatic feedback control system is shown below. G(o), H(o),...
Question 3 Consider an adaptive control system plant, k is the adaptive control gain, t is time and s is the Laplace variable time-varying parameter of the shown in Figure Q3, where a is a as У() r(t) G(s) a e(t) k s(s+1) Figure Q3 The gain k is adaptively adjusted so that the closed loop system has the transfer function of a desired model 1 M(s) +1 i.e. the plant output y(t) follows the model output ym(t) = M(s)r(t)...
R(s) (s+a) Plant (3rd-order system) C(s) Mission Find control system parameters (K, a) Approach Plant modeling Gain and phase margin/ Maximum overshoot/ Bandwidth MATLAB
question b or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a value of Kp that will yield less than 15% overshoot for the closed-loop system. (Note: ignore the zero dynamics to calculate Kp initially). c IIsing vour K from nart h) write a MATI AR scrint that calculates the closedloon Motor Plant R(s)+ C(s) Controller 10 Kp (s+9) s2 +6s15 12 Figure 1: Unity feedback with PD control or the...
A satellite is effectively a double integrator plant, ie. Ps)-, for which a unity-feedback closed-loop control is implemented as shown in the figure below, with controller C R(S) Ys) for Ke varying from 0 to to is shown below: The root loci off Root Locus 0.8 0.6 0.4 x 0.2 -0.2 0.4 0.6 0.8 0 -0.5 -2 2.5 Real Axis Please answer the following questions: i) For certain range of Kc value, the step response of the closed-loop system has...
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)...
Q4 (b) Prove that ker P = ker Tn ker S. () h a Question 4. Define T: Ma2 = c+ d. Prove that T is a linear transformation R by T C and onto. Find dim(ker T). Is T one-to-one? Jamomials in P. Show (b) Prove that ker P = ker Tn ker S. () h a Question 4. Define T: Ma2 = c+ d. Prove that T is a linear transformation R by T C and onto. Find...
Linear Control System A control system has two forward paths, as shown in Figure. (a) Determine the overall transfer function s) = Y(s)/R(s). R(s) Outpu FIGURE Two-path system.
6 and controller C(s), as shown in the Consider a unity-feedback control system with plant G(s)- following figure. Reference Error Controller Plant r(t) e(t) u(t) y(t) C(s) G(s) [5] (a) Determine the poles, zeros, order, type, relative degree, and de gain of the plant G(s) and show [5] (b) Can a P controller C(s)Kp stabilize the plant G(s)? If so, find the values of Kp that are [4] (c) Show using the Final Value Theorem that the system with the...