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

22 January 2003

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 4 (01912216) , 3611-3616
https://doi.org/10.1109/cdc.1999.827913

Abstract

In this paper we investigate the design of multiobjective controllers for linear discrete-time systems. We show that, as for the H/sub 2/ norm, it is possible to extend the linear matrix inequality (LMI) characterization of the H/sub /spl infin// 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/sub 2/ and H/sub /spl infin// 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

This publication has 5 references indexed in Scilit:

A new discrete-time robust stability condition
Systems & Control Letters, 1999
Multiobjective output-feedback control via LMI optimization
IEEE Transactions on Automatic Control, 1997
Explicit controller formulas for LMI-based H∞ synthesis
Automatica, 1996
Linear Matrix Inequalities in System and Control Theory
Published by Society for Industrial & Applied Mathematics (SIAM) ,1994
A linear programming oriented procedure for quadratic stabilization of uncertain systems
Systems & Control Letters, 1989