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Problem 2 design of state feedback controller using pole placement for multi-input systems. Consi...
Problem 2 We have seen in class an algorithm for the design of state feedback controller using po...
Problem 2 We have seen in class an algorithm for the design of state feedback controller using pole placement for multi-input systems. Consider the system-A Bu with 0 0 4 1. Using the algorithm seen in class, design a state feedback control K, or the gain K, to place the closed loop poles at-2,-3,-4. 2. Exploiting the structure of A and B, find a different feedback gain that place the poles in the same location. This steps shows that there...
Design a state feedback control u=-Kx, Find K, that could place the closed loop poles at-21 -3,-4...
the place poles are -2 ; -3 ; -4
Design a state feedback control u=-Kx, Find K, that could place the closed loop poles at-21 -3,-4 Given that: Consider the systemi Ar Bu with A-10-201. B-10 1 2) Exploiting the structure of A and B, find a different feedback gain that place the poles in the same location. This steps shows that there are several ways to design K; by inspection for instance.
Design a state feedback control u=-Kx, Find...
a. Design a state feedback controller with integral control to yield a 10% overshoot and a...
a. Design a state feedback controller with integral control to yield a 10% overshoot and a settling time of 0.5 sec. (tip: place the third pole to have the same real part as the two dominant, complex poles.) b. Assume that the system is initially relaxed at t=0. With the controller design in (c), what is the steady-state response y(t) excited by the unit step reference signal r(t)=1, for .
1. Using the MATLAB rltool command (or rlocus and rlocfind), plot the K > 0 root...
1. Using the MATLAB rltool command (or rlocus and rlocfind), plot the K > 0 root locus for What is the value of the largest damping ra- 2+2s+1 s(s120)7,7 -2,12). 1 + KL(s) = 0, where L(s) = tio associated with the pair of complex poles? At which value of K is it achieved? Turn in a printout of your plot showing the location of the poles on the damping ratio line that you found. 2. Suppose the unity feedback...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s)...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
Final Assignment: Impulse Response (20 POINTS) Using the Laplace method of analysis introduced in this lesson,...
Final Assignment: Impulse Response (20 POINTS) Using the Laplace method of analysis introduced in this lesson, determine the impulse response h() for the pendulum example (see LESSON 22). Let m = 1 kg, / 1 m, g= 9.81 m/s2, and T 10 N.m. 0 1 +Im/2 T m 0 g + [0]T NS 194 .. Final Assignment: Cam Displacement Control Follower F F Spring k C Roller x, X, X m m TITT Cam x, x x, X, x F...
Problem 2 We have seen in class an algorithm for the design of state feedback controller using pole placement for multi-input systems. Consider the system-A Bu with 0 0 4 1. Using the algorithm seen in class, design a state feedback control K, or the gain K, to place the closed loop poles at-2,-3,-4. 2. Exploiting the structure of A and B, find a different feedback gain that place the poles in the same location. This steps shows that there...
the place poles are -2 ; -3 ; -4
Design a state feedback control u=-Kx, Find K, that could place the closed loop poles at-21 -3,-4 Given that: Consider the systemi Ar Bu with A-10-201. B-10 1 2) Exploiting the structure of A and B, find a different feedback gain that place the poles in the same location. This steps shows that there are several ways to design K; by inspection for instance.
Design a state feedback control u=-Kx, Find...
1. Using the MATLAB rltool command (or rlocus and rlocfind), plot the K > 0 root locus for What is the value of the largest damping ra- 2+2s+1 s(s120)7,7 -2,12). 1 + KL(s) = 0, where L(s) = tio associated with the pair of complex poles? At which value of K is it achieved? Turn in a printout of your plot showing the location of the poles on the damping ratio line that you found. 2. Suppose the unity feedback...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
Final Assignment: Impulse Response (20 POINTS) Using the Laplace method of analysis introduced in this lesson, determine the impulse response h() for the pendulum example (see LESSON 22). Let m = 1 kg, / 1 m, g= 9.81 m/s2, and T 10 N.m. 0 1 +Im/2 T m 0 g + [0]T NS 194 .. Final Assignment: Cam Displacement Control Follower F F Spring k C Roller x, X, X m m TITT Cam x, x x, X, x F...
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