Robust dynamic output feedback fuzzy Lyapunov stabilization of Takagi–Sugeno systems—A descriptor redundancy approach

详细信息    查看全文

• 作者：Kevin Guelton ; Tahar Bouarar ; Noureddine Manamanni
• 关键词：Fuzzy control ; Takagi– ; Sugeno systems ; Dynamic output feedback ; Non-quadratic stabilization ; Fuzzy Lyapunov function ; Descriptor redundancy
• 刊名：Fuzzy Sets and Systems
• 出版年：2009
• 出版时间：1 October 2009
• 年：2009
• 卷：160
• 期：19
• 页码：2796-2811
• 全文大小：389 K

文摘

This paper deals with Takagi–Sugeno (T–S) systems stabilization based on dynamic output feedback compensators (DOFC). In fact, only few results consider DOFC for T–S systems and most of them propose quadratic Lyapunov functions to provide stability conditions, which may lead to conservatism. In this work, to overcome this drawback and to enhance the closed-loop transient response, we provide for T–S uncertain closed-loop systems non-quadratic stability conditions. Based on a fuzzy Lyapunov candidate function and the descriptor redundancy property, these stability conditions are written in terms of linear matrix inequalities (LMI). Afterward, the DOFC is designed with H_∞ criterion in order to minimize the influence of external disturbances. Finally, a few academic examples illustrate the efficiency of the proposed approaches.