4.44 Find the A, B, C, and D state matrices for a composite system of Figure...
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?
at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter with input vector x(n) and output vector s(n) a. Write state equations for the network. b. Find the state matrices A, B, C, D (all 2 x 2) c. Find the matrix system function (z) relating the vector z transforms X(z) and S(z), which is given by the general- ization of (4.4.13), i.e., H(z) D + C(zI - A) B. +oking s(n) (n) Z...
8. Consider the system where the performance of the system is given by V -d a. Find the state function of Pontryagin H. b. Using the state function determine the optimal input c. Determine the equations governing λ and x. d. Determine u°()given x(0)-0 and x(1) I 8. Consider the system where the performance of the system is given by V -d a. Find the state function of Pontryagin H. b. Using the state function determine the optimal input c....
Or (B) The following is the electrical equivalent model of a fluid system. Find the state equations and the matrices A and B of the model X' AX + BU. Extra Credit for (B): Find the matrices C and D in the output equation Y = CX + DU when the output is just Pout indicated in the figure. f- てw OUT
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
3.5. With reference to the following figure, find a) P(A B) b) P(BIC) c) P(A n B|C) d) P(B U CIA) e) P(AB u c) 0.06 0.24 0.19 0.04 0.16 0.11 0.11 0.09 3.6. For two rolls of a balanced die, find the probabilities of getting a) two 4s b) first a 4 and then a number less than 4
question b or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a value of Kp that will yield less than 15% overshoot for the closed-loop system. (Note: ignore the zero dynamics to calculate Kp initially). c IIsing vour K from nart h) write a MATI AR scrint that calculates the closedloon Motor Plant R(s)+ C(s) Controller 10 Kp (s+9) s2 +6s15 12 Figure 1: Unity feedback with PD control or the...
Answer Q.2,3,4 and 5 9:56 Done 5 of 7 04. a) Obtain the state variable model of the following system. Find A and B matrices in standard form. 3X(t) 6X(t) + 12 X()+3 Y (t) U() 4 Y(t) + 4 X(t)+8 Y(t)-12 U(t) b) Let the Outputs be X and Y + U(you might have renamed those variables. Use names), find C and D metrices in standard form. your new os.a) Draw a block diagram for h folowing model. The...
Problem #2 Find the (a) Thevenin's equivalent and (b) the Norton's equivalent for the subsystem enclosed in dashed lines for the system shown. Then (c), use either of these equivalents to find the transfer function, H(s) o output B2 M2F input Problem #2 Find the (a) Thevenin's equivalent and (b) the Norton's equivalent for the subsystem enclosed in dashed lines for the system shown. Then (c), use either of these equivalents to find the transfer function, H(s) o output B2...
10.Represent the translational mechanical system shown in the Figure in state- space, where xX3(t) is the output IN- 11.Find the state equations and output equation for the phase-variable representation of the transfer function G(s) 2s+1/(s2+7s+ 9) 12. Convert the state and output equations shown to a transfer function. -1.5 2 u(t) X = X 4 0 Y [1.5 0.625]x 13. For each system shown, write the state equations and the output equation for the phase- variable representation 8s10 sh25 t26...