Question

Matlab

2. A PID controller allows one to adjust the performance of a plant to the designer's specifications. The following system is given (s+1)(0.2 s+ 1 )(0.04 s + 1 )(0.00%+1) Create this system symbolically in Matlab. Use the command expand to get it in the form of a ratio of polynomials. Use the coefficients to create a transfer function. Import the transfer function to 'pidTuner. There is no perfect controller. So, to achieve the best result, one has to know what parameters are more significant, how much disturbance (noise) is in the input and output, what kind of frequency response is acceptable and above all which systerm is stable. In time domain the design specifications are given as overshoot', 'rise time', and 'steady state error. Answer the following questions about PID tuner. a. What is meant by a 'robust' control system? Explain in your own words. b. What kind of a tuner is defined by the following equation where e() is the error? P, I, D or any combination? T1 c. Which controller (P.I, D, PI,PD, PID) has the fastest response rise time to the d. Increasing which controller parameter/s increases the overshoot in a PID e. Which controller (P,I,D,PI,PD, PID) has the highest steady state error? set point (in this case desired point is value 1 (step)) controller? f. Manipulate the parameters of the controller to obtain a stable system with less than 5% overshoot, and a rise time below one second. In that case, find the steady state error and the settling time from the 'show parameters'.