Stabilizability and Disturbance Rejection with State-Derivative Feedback
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2010-01-01
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Hindawi Publishing Corporation
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In some practical problems, for instance in the control of mechanical systems using accelerometers as sensors, it is easier to obtain the state-derivative signals than the state signals. This paper shows that (i) linear time-invariant plants given by the state-space model matrices {A, B, C, D} with output equal to the state-derivative vector are not observable and can not be stabilizable by using an output feedback if det(Lambda) = 0 and (ii) the rejection of a constant disturbance added to the input of the aforementioned plants, considering det (A) not equal 0, and a static output feedback controller is not possible. The proposed results can be useful in the analysis and design of control systems with state-derivative feedback.
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Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 12, 2010.