Electrical and Computer Engineering Homework Solutions

Control Systems

Draw the positive and negative gain root locus for the closed loop system with the open loop transfer function L(s)=... The following information may be used: Angles of departure... Break away points... (See attachment for all details)

Compute the Transfer Equation

I posted the problem as a Word attachment. The questions for the equation: a)Compute the transfer equation Y(s)/X(s). b)Compute the response of the system to the input x(t)=e^(-2t) u(t) assuming no initial stored energy. c)Compute the response of the system to the input x(t)=4t^2 * e^(-6t) u(t)

Control Systems

Please supply steps to correct answer: For a CLOSED LOOP unit feedback control system, if reference (R) is eqaul to 5 units, and forward path Gain (G) is equal to 10, then the system output (Y) must be: (a) 50 (b) 4.54 (c) 5 (d) 10/11 (e) 0.454

Control Systems

Consider a transient response of a control system as shown in the figure below (*see attachment). Choose which system description matches this response: - DC gain 2, poles at -2,-3,-4 - DC gain 2, poles at -1-j4.4 and -1+j4.4 - DC gain 1, poles at -1-j4.4 and -1+j4.4 - DC gain 1, pole at -10 - DC gain 1, poles at -10,-2,zer ...continues

Control Systems

Consider a system with a block model diagram as shown (*see attachment), and suppose that u(t) is a unit step input. Next consider the plot of the corresponding step response (y)t, also shown, and match it to the appropriate pole locations of the transfer function G(s) = Y(s)/U(s) U(s) --> [K/(s-p1)(s-p2] --> Y(s) - {Re (p1,p2 ...continues

Use the Integral definition of the Laplace transform

(a) Use the integral definition of the Laplace transform to compute (FUNCTION1) (b) A function g(t) has the transform (FUNCTION2). Use transform properties to compute the following. Express each in simplest form: i) (FUNCTION3) ii) (FUNCTION4) (See attachment for full question)

Control Systems

Which one of the following statement regarding to operation of a PID is true? (See attachment for options)

Control Systems

Consider the responses of a closed loop system under several types of control. Choose the controller configuration that would result in the response following the dashed line trace on the plot. (See attachment for full question)

Control Systems

Which one of the following statements regarding the operation of a PID controller is definately false?

Control Systems (Proportional-Integral-Derivative Controlled Process; Open Loop Stable; Closed Loop Stable; Routh-Hurwitz; Bode Plot; Nyquist Plot)

Consider the block diagram attached, describing a process under Proportional-Integral-Derivative control. 1) Is the system open loop stable? Justify your answer 2) Let Ki = 10. Use the Routh-Hurwitz criterion to find the range of Kd, and Kp in terms of Kd, so that closed loop stability is achieved. 3) Suppose that Ki = 10, Kd ...continues

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