For the IH-LQG control system of Fig. 11-6, suppose that the plant is single-input single-output, such that

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For the IH-LQG control system of Fig. 11-6, suppose that the plant is single-input single-output, such that B and C are vectors. To determine the system robustness, the open-loop transfer functions for the system opened at a and opened at b must be determined.

(a) Find the open-loop transfer function for the system opened at the point a.

(b) Find the open-loop transfer function for the system opened at the point b.

(c) Give the transfer functions for the frequency responses that must be calculated to determine robustness.

Fig. 11-6U(z) a Control -K b Q(z) | 1 1 B B-GCB (z1-A)- A Plant (zl-A)- Kalman filter C X(z) G C N Y(z) 1 1 T 1 T


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Digital Control System Analysis And Design

ISBN: 9780132938310

4th Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

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