Title :
H2 and/or H∞-norm model reduction of uncertain discrete-time systems
Author :
Assunção, Edvaldo ; Peres, Pedro L D
Author_Institution :
Paulista State Univ., Brazil
Abstract :
This paper addresses the problem of model reduction for uncertain discrete-time systems with convex bounded (polytope type) uncertainty. A reduced order precisely known model is obtained in such a way that the H 2 and/or the H∞ guaranteed norm of the error between the original (uncertain) system and the reduced one is minimized. The optimization problems are formulated in terms of coupled (nonconvex) linear matrix inequalities, being solved through iterative algorithms. Examples illustrate the results
Keywords :
H∞ control; discrete time systems; linear systems; matrix algebra; optimisation; reduced order systems; uncertain systems; H∞-norm; H2-norm; discrete-time systems; iterative method; linear matrix inequality; linear time invariant systems; model reduction; optimization; uncertain systems; Analytical models; Control system synthesis; Convergence; Electronic mail; Iterative algorithms; Linear matrix inequalities; Reduced order systems; Sufficient conditions; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786428
