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H2 and H -optimal control for the tracking problem with zero variation

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3 Author(s)
Assuncao, E. ; Dept. of Electr. Eng., UNESP Univ. Estadual Paulista, Ilha Solteira Sao Paulo ; Andrea, C.Q. ; Teixeira, M.C.M.

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 Hscr 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 Hscrinfin -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

Published in:

Control Theory & Applications, IET  (Volume:1 ,  Issue: 3 )