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A GLOBAL OPTIMIZATION APPROACH FOR THE PROBLEM OF CONTROLLER ORDER REDUCTION
Edvaldo Assunção* Pedro L. D. Peres**
* State University of São Paulo
DEE/FEIS/UNESP
CP 31 — 15.385-000 — Ilha Solteira — SP — BRAZIL
e-mail: edvaldo@dee.feis.unesp.br
** University of Campinas
DT/FEEC/UNICAMP
CP 6101 — 13.081-970 — CampinasSP — BRAZIL
e-mail:peres@dt.fee.unicamp.br
A novel formulation for the problem of optimal controller order reduction for continuous-time linear systems is presented. The H2 or the H∞-norms of the error realization between the full and the reduced order controlled systems are used as optimization criteria. Linear matrix inequality optimization problems provide the upper and the lower bounds required for the branch and bound algorithm used to solve the order reduction problem. The convergence in finite time to the global optimum is assured. An example illustrates the results.
Keywords: Model Reduction, Controller Order Reduction, LMI, Optimization,H2-norm, H∞-norm
Session slot T-Tu-M21: Posters of Control Design/Area code 2a : Control Design
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