A state space representation of a system is below, 1 1 TO La 1 b] +...
a-obtain state space representation
b-obtain system eigen values
c-diagnolize the system
Question (3: (10 Marks) For the following system, U(s) s + 5 (s +2) (s +3) s + 1 Obtain a state space representation in the controllable canonical form. (4 marks) b) Obtain the system eigen values, (3 marks) c) Diagonalize the system. (3 marks) a) Page 2 DQMS 2/3
Question (3: (10 Marks) For the following system, U(s) s + 5 (s +2) (s +3) s + 1...
Given a linear time-invariant system in state-space representation: -100 5*+u(t) y=[1 0]x (i) Determine the transfer function of the system. (ii) Build an equivalent mechanical system showing all the parameters. (ii) Derive an expression x(t) for this system for step input. Is the mechanical system over damped, under damped or critically damped system?
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
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...
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...
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
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.
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(
Obtain a state-space representation of the system shown below yI 7m
Obtain a state-space representation of the system shown below yI 7m
Problem 3
3. Consider the input-output representation of the system given below. Find a state-space representation that is equivalent to this input-output representation.