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Min-max quadratic cost control of systems described by approximate models

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3 Author(s)
Menga, G. ; CENS Politecnico di Torino, Istituto Elettrotecnico Nazionale, Galileo Ferarris, Torino, Italy ; Milanese, M. ; Negro, A.

This paper considers the design of output regulators with the use of approximate models. The measure of the approximation between process and model outputs is represented by a bound in norm of the output error signals and it requires the computation of two numbers. The design is achieved with a rain-max approach where control and error signals are the two antagonists. The min-max solution is obtained as a linear function of the model state (open-loop solution). It is shown that no dosed-loop controls can improve the open-loop min-max performance. Conditions are given so as to preserve the min-max performance by means of proportional feedback of the system's output. In this case the min-max feedback law is obtained (closed-loop solution).

Published in:

Automatic Control, IEEE Transactions on  (Volume:21 ,  Issue: 5 )

Date of Publication:

Oct 1976

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