Relaxed conditions in tracking control design for a TS fuzzy model

Article type: Research Article

Authors: Manamanni, N. | Mansouri, B. | Hamzaoui, A. | Zaytoon, J.

Affiliations: CReSTIC- Université de Reims – 51687 Reims cedex 2, France

Note: [] Corresponding author. Tel.: +33 326 918 386; Fax: +33 326 913 106; E-mail: [email protected]

Abstract: In this paper, a fuzzy tracking control is designed for nonlinear dynamic systems with external disturbances using a TS fuzzy model and state observer design. A control scheme based on an augmented system with a guaranteed H∞ performance and a model reference tracking is proposed. The aim of this paper is to provide a more relaxed version of the control design problem in terms of a linear matrix inequality (LMI) and to improve the tracking performances. In the case of a tracking problem, the results obtained are summarized in two theorems concerning the feasibility of the LMI and the relaxed stability conditions. A design example illustrates the relaxed stability conditions and the tracking performances of this approach.

Keywords: Fuzzy control, linear matrix inequality (LMI), quadratic stability, tracking, relaxed condition, H∞ robust control, fuzzy system

Journal: Journal of Intelligent & Fuzzy Systems, vol. 18, no. 2, pp. 185-210, 2007