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State Space 37. Given the following state-space re- presentation of a system, find Y(s): [Section: 4.10]...
Test 1 2: A state space representation of a system is given by: -2 011 y=[0 1]x 1. Design a state variable feedback control to place the closed-loop poles s =-3 ±j2. Assume that the complete state vector is available for feedback.。 Find the resulted close loop transfer function.
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
this problem needs to be done using SciLab
9. A control system is given by the following state-space representation -8 101 [2 dt 1-6 00 y [1 0 0]x Please do the following: a. Find its transfer function representation. b. Calculate its zeros and poles c. Write a Scilab program to draw the step response and impulse response graphs in the same window with the step response graph in the upper half the window and the impuise response graph in...
2 The state space presentation of a system can be captured by four Matrices A.,B,C, and D. 3 -2 1 0 a) Is this system stable? b) What is the order of the system?
2 The state space presentation of a system can be captured by four Matrices A.,B,C, and D. 3 -2 1 0 a) Is this system stable? b) What is the order of the system?
2. Find the state space representation of the system represented by the following transfer function: (s +1.2) (s 15.8) (s +23) s(S 1.3) (s +7.2) (s + 47) G(s)- 3. Find the transfer function of the system with the following state space representation: 1 3.2 1.6 1(01) [-1 e) -7.4 2.4 -9.1l(O You may use your calculator, Matlab, or calculate by hand to find the following transfer functions: G1(s) 0,() R(S) G3(s) s) R(
Problem 4: (65 points) Let a system be given by the state space representation 8 8 10 * = X+ u(t), y = [1 -1]x – u(t) 1 1 -1 0 Y(S) d) (7) Find the transfer function US) e) (5) Is the system BIBO stable? 3 f) (9) Let the initial state x(0) -3 u(t) = 0) for all t > 0. = Find the zero input response (i.e., with the input
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
8. Write down the state space equation for the system shown below US) + 2 y(s) $+3 2 s(s+1) 9. Derive the state space equation for the system shown where the coefficients of the system matrix are in diagonal form and the elements of the control matrix are unity. U(S) 1 X2 $+2 X 3+1 X = y $+3 $+4 S
Q3. The state-space representation of a dynamical system is given as follows: (2) (y = 2 x 1. By finding the eigenvalues, eigenvectors of the A matrix, compute el via the diagonal transformation. 2. Assume that the control input is u(t) = 0, compute x(1) and y(t). 3. Assume that the input is u(t) = 1 + 2e-21, compute x(t) and y(t). 4. Given your answers to the previous question, compute x(t) when 1 00
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...