D. Question 4 Evaluate the stability of the systems with each of these transfer functions: H(s)...
25- for the following systems trasfer functions determines the stability of the system (s2 + 4)2(s+5)
1. Evaluate stability of the following systems: a) A continuous time system described by the following transfer function: 4 2s2 +4s 5 b) A continuous time system described by the following transfer function (s-6)(5s3 +3s +7s + 1) c) A discrete time system described by the following transfer function: 0.3 (z-0.4) (z +0.7) d) A second order discrete time system with the following poles: z1 0.8+0.75i, z2 0.8-0.75i
control systems 1) Using Routh Hurwitz Stability Criteria, determine whether the following system of equation is stable or not. a) S4+253+3S2+45+5=0 2) Using the Routh Hurwitz stability criterion, determine the range of K for stability of the following characteristic equation. a) s4+2s8+(4+K)s2+9s+25=0 3)Sketch the root-locus of the following systems a) G(s)H(s) = s(s+1)(s+2) b) G(s)H(s) = 52(8+3.6) K(5+1)
Question 4: A system is characterized by the following transfer function 1/(8): H(s) = 24 (10 marks) Assess stability of this system. Evaluate the magnitude of its frequency response H(jo) for each of the following frequencies: (15 marks) -0, 0), = 2, 0, = +0.
Express the following transfer functions, H(s) in a state variable a) 1st Companion Form b) Jordan Form. Draw Block Diagrams showing outputs. Check controllability and observability of the state space equations. H(s) = 1/(s2+4s+4)
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...
4. (10 points) Two feedback systems are shown in Figure4 R(s)+ s +4 s-1 R(s) + Y(s) 2 Figure 4: (a) (5 points) Evaluate the closed-loop transfer functions H, and H, for each system. (b) (5 points) Compare the sensitivities of the two systems with respect to the param- eter Ki for the nominal values of K K21.
question 1 Question 3 a) Develop the transfer function X (s)/F(s) of the mechanical system shown in Figure 3(a). Give and explain one example the real application where you can relate with this system. (5 marks) b) Routh's stability criterion is of limited usefulness in linear control systems analysis mainly because it does not suggest how to stabilize an unstable system. Thus, we should evaluate the stability range of a parameter value. Consider the servo system with tachometer feedback as...
For each of the following transfer functions, plot the pole-zero pattern, draw curves of M(a) versus ω and θ(a) versus ω, and comment briefly on your results. For the function in part (c), include the numerical values for ω- 9.9, 10.0, and 10.1 rad/s. 2 H(s)= s2+2s +1 a. 2s2 H (s) = 0.25+100 C. For each of the following transfer functions, plot the pole-zero pattern, draw curves of M(a) versus ω and θ(a) versus ω, and comment briefly on...
Prob 4 For each of the open-loop transfer functions of unity negative feedback systems given below, determine the range of values of parameter K for which the closed-loop system is stable: K(s +13) a) Gs)+3)(s+T K(s +2) c) G(s)--. K(s 1) s(s +2)