For the given open loop system: R(S) 05% = evita $ = = ban t- vendin...
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores) 7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
PID Control: This question will revisit the PID controller we discussed in class, and review the effects of the three gains. Given the open-loop transfer function G(s)3 5.2 Are you able to stabilize the closed-loop system with a P control? If so, what is the 5.3 Are you able to stabilize the close-loop system with a PI controller? If so, what are the 5.1 Write down the open-loop poles and comment on the open-loop stability requirement of the P gain?...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
This problem explores the effect of closed-loop zeros on the system response. Suppose ?(?) = ?? (?)?? (?) where ?? (?) = ? a proportional controller. The plant ??(?) takes on two different systems in Problem 1 and in Problem 2 1. Suppose ??1 (?) = 1 ?(? 2+6?+45) a. Find the open-loop poles and the closed-loop poles when ? = 40 b. Find and plot the closed-loop unit step response, that is, find ?(?), ? > 0 when ?(?)...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
6. Given the following closed-loop system, the objective is to design a controller D(s) such that the closed-loop poles are placed at -V3+j. (a) Show that this objective cannot be achieved by choosing a proportional control alone. (b) Design a controller of the form K(s-a) to achieve the objective. [Hint: You could use the root locus method to introduce a zero at a such that -V3 + j are on the locus.] r(t) y(t) D(s) + s+2 s(s+1)
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...
could you please answer this question QUESTION 2 Consider a system with an open-loop trans fer function given by Y(s) s+7 U(s) s2 +3s-8 (a) (8 marks) Derive a state-space model for the system in canonical form. (b) (4 marks) Check the observability of the system. (c) 8 marks) Design a suitable full-order state observer for the system. Explain your choice of the observer's poles. d) (10 marks) Design a PI controller for the system so the output of the...
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such that the desired closed-loop poles at -2+2j following steps: J, by completing the (a) Find the angle deficiency from the compensator, (b)Find the zero and poles of the compensator (c) Find constant gain Kc. 1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such...