tablish the state equations describing the system below R(s) c) Define the state variables in a block diagram d) Define A, B and Cin the state equations: (t)-Ax(t)+ Br() yt) Cx(t) tablish th...
5. SVM: Drive the SVM models: *=Ax+Br , Output: y=Cx+Dr for the system below (D=d/dt): Assume a=4, b=3, c=0.5 and r(t)=5u,(0). Solution: y(t)
c(s), A system has a block diagram as shown. The input is R(s) and the output is C(s). a) Using only the block diagram reduction method", find the transfer function of the system. b) Determine the characteristic function and the order of the system. c) Find the characteristic roots of the system. d) Find the natural frequency of the system. e) Find the damped natural frequency of the system. 8 * NOTE: All stages of block diagram reduction must be...
Solve the following equations for the variables specified. (a) x=43(y−3)+y, for y. (b) ax+b=cx−d, for x. (c) 2KL1/3=Y0, for L. (d) qx−py=m, for y. (e) (1/r−a) / (1/r+b) =c, for r. (f) Y= a(Y−tY−k)+b+I+G0+cY, for Y. SHOW YOUR WORK
Standard state-space representations of LTI systems x(t)-Ax(t)+Bu(t); yt)-Cx(t)+Du(f) Two different systems have the following representations: 0 2 -3 a. Determine the input-output transfer functions for the two systems above. Are they the same? b. Explain the result obtained in part a. c. Determine the poles and zeros of the two systems above
2. (25 pts) For the block diagram shown below. a) Let d(t) = 0 and r(t) =2t. Find K so that the steady state error e=0.3 b) Find the steady state errores when K-5, R(S)=1/s, D(s)=0. c) Find the steady state value of c(t), when D(s)=3/s” and R(s)0 D(s) C(s) R(5) 5+ 2 (s + 1)(s + 3)
Question completion Status: Question 2 Given the block diagram realization of a single-input multi-output system ww0DT * - The State and Output Equations are: *(t) = Ax(t) + Buin(t) y(t) - Cx(t) + Duit) C] - LOC:+du. Fill-in the blanks with the correct value:
Homework Quiz #10 Consider the system shown in the block diagram below Convert the block diagram representation into the state space representation by find coefficients of the A, B, C, and D matrices and vectors, using the state variables given in the diagram (a) ing the (b) Determine the controllability and observability of the system.
Reduce the block diagram below to a single block representing the transfer function T(S) C(s) R(S) H3(s) Hl(s) R(s) + C(s) Gi(s) G2(s) G3(s) Hz(s) H4(s)
Reduce the block diagram shown to a single block T(s)= C(s)/R(s).
TICCll.. A ram shown in Figure P5.3 to a single block, T/s) = C(s)/R(s). [Section: 5.2] G8 C(s) R(S) + G6 G3 ure P5.4 to an equivalent unity-feedback system.
The Class Name is: MAE 318 System Dynamics and Control I
Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given below. Assuming that the tunable constant Khas a value that makes this closed-loop system stable, find the steady-state error of the closed-loop system for (a a step reference input with amplitude R, r(t)- R u(t) (ii) a ramp reference input with slope R, r(t) = Rt-us(t) R(s) Y(s) (s+2)(s +5) (b) A block...