Publicação: H-2 and H-infinity-optimal control for the tracking problem with zero variation
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2007-05-01
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Institution Engineering Technology-iet
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The problem of signal tracking, in the presence of a disturbance signal in the plant, is solved using a zero-variation methodology. A state feedback controller is designed in order to minimise the H-2-norm of the closed-loop system, such that the effect of the disturbance is attenuated. Then, a state estimator is designed and the modification of the zeros is used to minimise the H-infinity-norm from the reference input signal to the error signal. The error is taken to be the difference between the reference and the output signals, thereby making it a tracking problem. The design is formulated in a linear matrix inequality framework, such that the optimal solution of the stated control problem is obtained. Practical examples illustrate the effectiveness of the proposed method.
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Iet Control Theory and Applications. Hertford: Institution Engineering Technology-iet, v. 1, n. 3, p. 682-688, 2007.