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4. Given: 92 + 5s - 5 53 +852 +8s +6 U(s) Find: The state-space representation.
5. Given: Y(s) U(s) Find: The state-space representation. 3s + 2 5+65 +9
Problem 3-Find the state-space representation in both canonical controller and phase-variable form of the transfer functions below R(s) C(s) 8s + 10 45s3 +s2 +5s + 13 5 +9s4+1383 +8s2
For the transfer function given below G(S) 2s + 2 52 +53 +6 a) Find the differential equation. b) Present this system in a state space representation with a diagonal state matrix. c) Present this system using pole-zero form.
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
Easy UPVOTE
For the transfer function given below G(S) 2s + 3 52 + 5s + 6 a) Find the differential equation. b) Present this system in a state space representation with a diagonal state matrix. c) Present this system using pole-zero form.
Problem 4. Transfer function to state space form Find the state-space form of the following transfer func- tions (see Section 4.4.1 in the book). This requires zero computation, it just requires you understand how a SISO transfer function relates to the state space form shown in the book. a) = Y(s) _ 68 +3 G(s) s3 + 26s2 5s 50 b) Y(s) + 2s2 + 4s 6 U(s) s3 +12s +12
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 =...
using matlab Find the state-space representation in phase-variable form for the system Y(s)/R(s)=C/[s*(s+6)*(S+15)]
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.
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(