The problem of restricted complexity stability margin maximization (RCSMM) for SISO plants affected by rank one real perturbations is considered. This problem amounts to maximizing the l/sub 2/ parametric stability margin over an assigned class of restricted complexity controllers, described by rational transfer functions of fixed order with coefficients depending affinely on some free parameters. It is shown that the RCSMM problem, which in general admits local maxima, can be approached by means of convex optimization techniques. Specifically, an optimization procedure, which requires at each step the computation of a rational function via polynomial factorization and the solution of an LMI feasibility problem with respect to the free controller parameters, is devised.

Bianchini, G., Falugi, P., Tesi, A., & Vicino, A. (2001). On the synthesis of restricted complexity controllers for uncertain plants with ellipsoidal perturbations. In Proceedings of 40th IEEE Conference on Decision and Control (pp.1562-1567). New York : IEEE [10.1109/CDC.2001.981119].

On the synthesis of restricted complexity controllers for uncertain plants with ellipsoidal perturbations

Bianchini, G.;Vicino, A.
2001

Abstract

The problem of restricted complexity stability margin maximization (RCSMM) for SISO plants affected by rank one real perturbations is considered. This problem amounts to maximizing the l/sub 2/ parametric stability margin over an assigned class of restricted complexity controllers, described by rational transfer functions of fixed order with coefficients depending affinely on some free parameters. It is shown that the RCSMM problem, which in general admits local maxima, can be approached by means of convex optimization techniques. Specifically, an optimization procedure, which requires at each step the computation of a rational function via polynomial factorization and the solution of an LMI feasibility problem with respect to the free controller parameters, is devised.
0-7803-7061-9
Bianchini, G., Falugi, P., Tesi, A., & Vicino, A. (2001). On the synthesis of restricted complexity controllers for uncertain plants with ellipsoidal perturbations. In Proceedings of 40th IEEE Conference on Decision and Control (pp.1562-1567). New York : IEEE [10.1109/CDC.2001.981119].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/442802