For the system of Problem 9.6-5, use a transfer function approach to show that the transfer function

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For the system of Problem 9.6-5, use a transfer function approach to show that the transfer function Q(z)/U(z) is first order (even though the system is second order) and is equal to X(z)/U(z). Hence the mode of Q(z), which is (AGC)k, is not excited by the input signal u(k).

Problem 9.6-5

Consider the first-order plant described by

x(k + 1) = Px(k) + Qu(k) y(k) = Rx(k)

and a prediction observer described by (9-38).(a) Construct a single set of state equations for the plant-observer system, with the state vector [x(k)

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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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