For the antenna control system of Problem 7.5-5, use MATLAB to:

(a) Find the range of stability for $K$ (by rlocus).

(b) Find the gain $K$ for critical damping (by rlocus).

(c) Find the gain and phase margins at critical damping (by rlocus).

(d) Find the step response parameters rise time, settling time, and percent overshoot (by stepinfo).

(e) Find the frequency response peak and bandwidth.

(f) Graphically display the root locus, Bode plot, Nyquist diagram, Nichols chart, step response, and closed-loop frequency response.

Problem 7.5-5

Consider the antenna control system of Fig. P7.5-5. This system is described in Problem 1.5-1. For this problem, $T=0.05s$ and $D\left(z\right)=1$. It was shown in Problem 5.3-15 that

$$y\left[\frac{1-{\epsilon }^{-Ts}}{s}\frac{20}{s(s+6)}\right]=\frac{0.02268z+0.02052}{(z-1)(z-0.7408)}$$

Fig. P7.5-5

Transcribed Image Text:

Computer Digital controller Amplifier Motor, gears, and pedestal R(z) M(s) 20 O(s) + D(z) DIA K +6s 8(r) r(k) Binary data Sensor V(2) 0.4 T