Consider the first-order plant described by and a prediction observer described by (9-38). (a) Construct a single

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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)q(k)T] and the input u(k) (i.e., there is no feedback).

(b) Show that this system is always uncontrollable, regardless of the value of observer gain G.

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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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