State space of transfer function 
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10. Consider the following input-output transfer function. U(s) s3 6s 11s +4 Draw the CCF state d...
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space...
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for desired eigenvalues of -10.-20 and-30. What are the values of the estimator gain matrix?
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for...
3. Consider the causal single input single output system described by the transfer function (6s +...
3. Consider the causal single input single output system described by the transfer function (6s + 1)(4s + 3) 53 + 8s² + 19s +2 Y(s) U(s) Using the phase variable decomposition method express in terms of the state vector x, state matrix A, input matrix B and output matrix C.
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Dev...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
6. For the transfer function 5s2 +23s+81 H(s) = s3 +11s 43s +27 +11 s. (a) Sketch the DF2 (canoni...
6. For the transfer function 5s2 +23s+81 H(s) = s3 +11s 43s +27 +11 s. (a) Sketch the DF2 (canonic) block diagram (b) Give A, B, and C for the state vector model
6. For the transfer function 5s2 +23s+81 H(s) = s3 +11s 43s +27 +11 s. (a) Sketch the DF2 (canonic) block diagram (b) Give A, B, and C for the state vector model
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25) (a) Develop a state space model for this transfer function, in the standard form x˙ = Ax + Bu y = Cx + Du (b) Suppose that zero input is applied, such that u = 0. Perform a modal analysis of the state response for this open-loop system. Your...
4, (a) (20%) Find the transfer function Xi(s) / U(s) for the system shown in Fig....
4, (a) (20%) Find the transfer function Xi(s) / U(s) for the system shown in Fig. 2. (b) (20%) obtain a state-space model of the system shown in Fig. 2, where u is the input and x is the output. k2 kj m2 b2
3. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output +...
3. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output + Y(s) X(s) 8+2 s+ 2
3. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output + Y(s) X(s) 8+2 s+ 2
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the...
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable?
2. The transfer function of a CT LTI system is given by H(s) (s2...
1. (4 pts) Consider the system whose transfer function is YS) – H(S) = Tos +1...
1. (4 pts) Consider the system whose transfer function is YS) – H(S) = Tos +1 Tis +1 U(s) Obtain the steady-state output, y(t), of the system when it is subjected to the input u(t) = A sin wt.
Problem 4. Transfer function to state space form Find the state-space form of the following transfer...
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
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for desired eigenvalues of -10.-20 and-30. What are the values of the estimator gain matrix?
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for...
3. Consider the causal single input single output system described by the transfer function (6s + 1)(4s + 3) 53 + 8s² + 19s +2 Y(s) U(s) Using the phase variable decomposition method express in terms of the state vector x, state matrix A, input matrix B and output matrix C.
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
6. For the transfer function 5s2 +23s+81 H(s) = s3 +11s 43s +27 +11 s. (a) Sketch the DF2 (canonic) block diagram (b) Give A, B, and C for the state vector model
6. For the transfer function 5s2 +23s+81 H(s) = s3 +11s 43s +27 +11 s. (a) Sketch the DF2 (canonic) block diagram (b) Give A, B, and C for the state vector model
4, (a) (20%) Find the transfer function Xi(s) / U(s) for the system shown in Fig. 2. (b) (20%) obtain a state-space model of the system shown in Fig. 2, where u is the input and x is the output. k2 kj m2 b2
3. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output + Y(s) X(s) 8+2 s+ 2
3. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output + Y(s) X(s) 8+2 s+ 2
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable?
2. The transfer function of a CT LTI system is given by H(s) (s2...
1. (4 pts) Consider the system whose transfer function is YS) – H(S) = Tos +1 Tis +1 U(s) Obtain the steady-state output, y(t), of the system when it is subjected to the input u(t) = A sin wt.
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
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