An LMI optimization approach to multiobjective controller design for discrete-time systems

Author

de Oliveira, M.C. ; Gerome, J.C. ; Bernussou, J.

Author_Institution

Sch. of Elect. & Comput. Eng., UNICAMP, Sao Paulo, Brazil

Volume

4

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

3611

Abstract

In this paper we investigate the design of multiobjective controllers for linear discrete-time systems. We show that, as for the H ₂ norm, it is possible to extend the linear matrix inequality (LMI) characterization of the H_∞ norm condition so that it no longer exhibits the product of the Lyapunov matrix and the system dynamic matrices. Then we develop a parametrization for state-feedback and output-feedback linear controllers which linearizes these extended H ₂ and H_∞ norm conditions for synthesis. These parametrizations are applied to the design of controllers with multiobjective constraints. A numerical example illustrates the results and provide a comparison with some of the existing methods

Keywords

H^∞ control; Lyapunov matrix equations; control system synthesis; discrete time systems; feedback; linear systems; linearisation techniques; matrix algebra; optimal control; H_∞ norm condition; H₂ norm; LMI optimization approach; Lyapunov matrix; controller synthesis; linear discrete-time systems; linear matrix inequality characterization; multiobjective controller design; output-feedback linear controllers; parametrization; state-feedback linear controllers; system dynamic matrices; Control system synthesis; Control systems; Design optimization; Hydrogen; Linear matrix inequalities; Riccati equations; Robust control; Robust stability; Robustness; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.827913

Filename

827913