Quadratic Design of Robust Controllers for Uncertain T-S Models with D-Stability Contraints
| Autor: | Kevin Guelton, Laurent Arcese, Abdelmadjid Cherifi |
|---|---|
| Přispěvatelé: | Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (CRESTIC), Université de Reims Champagne-Ardenne (URCA), Centre de Recherche en Economie et Statistique [Bruz] (CREST), Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] (ENSAI) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
0209 industrial biotechnology
Forcing (recursion theory) Quadratic lyapunov function [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] Linearity Polytope 02 engineering and technology Fuzzy control system Weighting [SPI.AUTO]Engineering Sciences [physics]/Automatic 020901 industrial engineering & automation Quadratic equation Computer Science::Systems and Control Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing D stability ComputingMilieux_MISCELLANEOUS Mathematics |
| Zdroj: | IFAC Conference on Intelligent Control and Automation Sciences (ICONS) IFAC Conference on Intelligent Control and Automation Sciences (ICONS), 2016, Reims, France. pp.19-24, ⟨10.1016/j.ifacol.2016.07.083⟩ |
| DOI: | 10.1016/j.ifacol.2016.07.083⟩ |
| Popis: | This paper deals with the robust D-stabilization of uncertain Takagi-Sugeno (T-S) fuzzy systems. New Linear Matrix Linearity (LMI) conditions are proposed for the design of non Parallel-Distributed-Compensation (non-PDC) controllers with D-stability constraints, i.e forcing the poles of each linear polytopes of the closed-loop T-S plant with model uncertainties to belong in a prescribed LMI region. The LMI conditions are obtained through the use of a quadratic Lyapunov function candidate and relaxed by the introduction of free weighting matrices. To illustrate the effectiveness of the proposed approach, the D-stabilization of an academic example of a fourth-order uncertain T-S model is provided in simulation. |
| Databáze: | OpenAIRE |
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