International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007


Wednesday Morning

Session WM3: Control Strategies and Applications


Chair: Luc Dugard - France
Co-chair: Alexandre Trofino - Brazil
Room: Santiago
2007-10-17
From 10:00 to 12:00
BMI-Based Stability and Performance Design for Fuzzy Control Systems
H. K. Lam; L. D. Seneviratne
Contact: H. K. Lam - United Kingdom
10:00-10:20
Abstract:
This paper presents the stability and performance design of fuzzy-model-based control systems subject to parameter uncertainties. A nonlinear controller with a favorable characteristic to relax the stability conditions is proposed to drive the system states of the nonlinear plant to follow those of a stable reference model. Stability and performance conditions in terms of bilinear matrix inequalities are derived based on a Lyapunov-based approach. A genetic-based convex programming technique process is developed to solve the solution to the bilinear matrix inequalities. An application example is given to show the merits of the proposed approach. Copyright © 2007 IFAC.