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4 Consider the system represented in state variable form 0 x+ 2 y [1-1x +[0]u B...
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measur...
control system with observer
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
Please help me with QUESTION 2. 1. Consider the electrical system shown below, for which the input variable u, the out...
Please help me with QUESTION 2.
1. Consider the electrical system shown below, for which the input variable u, the output variable y, and the state variables xi and x2 have been specified. R L + C (a) Determine the state-space model of the system (b) Show that the transfer function (from u to y) has the form bis H(s)=2+ajs+ a0 by relating (ao, ai, bi) to (R, L, C) (c) Show that the frequency response function (from u to...
3. a) Find a state space representation for a linear system represented by the following differen...
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...
Question 4 a) A simplified form of the open loop transfer function of a chemical process...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(s) = s(s + 3)(s2 + 2s + 2) where H(s) = 1. Construct the root locus. (5 marks) ii. From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) i. b) State two important parameters that you got from...
Question 4 a) A simplified form of the open loop transfer function of a chemical process...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(S) = S(S + 3)(S2 + 25 + 2) where H(S) = 1. i. ii. Construct the root locus. (5 marks) From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from...
Question 4 a) A simplified form of the open loop transfer function of a chemical process...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 GO) = 2(8 + 3)(8 +20 +2) where H(s) = 1 i. Construct the root locus. (5 marks) . From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot...
G(s) Question 4 a) A simplified form of the open loop transfer function of a chemical...
G(s) Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 s(s+3)(s2 + 2s + 2) where H(s) = 1. i. Construct the root locus. (5 marks) ii. From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot method...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no?...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no? c) H HG) were modified as follows. Determine the system stability as a function of parameter k, i.e, what is the minimal value of k required to keep the system stable? d) Sketch Bode the plot for T(s) including data 'k, derived from...
a) A simplified form of the open loop transfer function of a chemical process as shown...
a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(s) s(s + 3)(s2 + 2s + 2) where H(s) = 1. i. ii. Construct the root locus. (5 marks) From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot method...
S+5 e. L1 = 10nH, R = 1009, and R2 = 0!! 6) Given a system...
S+5 e. L1 = 10nH, R = 1009, and R2 = 0!! 6) Given a system with a transfer function of H(S) = 7002 a. Write the steady state output of the system if the input is y(t) = sin(2000) b. Sketch the Bode plot no 30 1
control system with observer
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
Please help me with QUESTION 2.
1. Consider the electrical system shown below, for which the input variable u, the output variable y, and the state variables xi and x2 have been specified. R L + C (a) Determine the state-space model of the system (b) Show that the transfer function (from u to y) has the form bis H(s)=2+ajs+ a0 by relating (ao, ai, bi) to (R, L, C) (c) Show that the frequency response function (from u to...
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...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(s) = s(s + 3)(s2 + 2s + 2) where H(s) = 1. Construct the root locus. (5 marks) ii. From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) i. b) State two important parameters that you got from...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(S) = S(S + 3)(S2 + 25 + 2) where H(S) = 1. i. ii. Construct the root locus. (5 marks) From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 GO) = 2(8 + 3)(8 +20 +2) where H(s) = 1 i. Construct the root locus. (5 marks) . From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot...
G(s) Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 s(s+3)(s2 + 2s + 2) where H(s) = 1. i. Construct the root locus. (5 marks) ii. From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot method...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no? c) H HG) were modified as follows. Determine the system stability as a function of parameter k, i.e, what is the minimal value of k required to keep the system stable? d) Sketch Bode the plot for T(s) including data 'k, derived from...
a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(s) s(s + 3)(s2 + 2s + 2) where H(s) = 1. i. ii. Construct the root locus. (5 marks) From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot method...
S+5 e. L1 = 10nH, R = 1009, and R2 = 0!! 6) Given a system with a transfer function of H(S) = 7002 a. Write the steady state output of the system if the input is y(t) = sin(2000) b. Sketch the Bode plot no 30 1
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