Title :
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
fDate :
6/21/1905 12:00:00 AM
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827913
