Stabilization of Takagi–Sugeno models with non-measured premises: Input-to-state stability approach

• Published in: Fuzzy sets and systems Vol. 329; pp. 108 - 126
• Main Authors: Maalej, Sonia, Kruszewski, Alexandre, Belkoura, Lotfi
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.12.2017; Elsevier
• Subjects: Automatic; Automatic Control Engineering; Computer Science; Engineering Sciences; Input to state stability; Linear matrix inequalities; Lyapunov; Non-measured premises; Takagi–Sugeno models; Linear matrix inequalities; Input to state stability; Takagi–Sugeno models; Non-measured premises; Lyapunov
• ISSN: 0165-0114; 1872-6801
• DOI: 10.1016/j.fss.2017.05.011

This work deals with the observer-based output stabilization problem for Takagi–Sugeno models with non-measured premises. It aims at providing efficient design methods for the controller/observer pair with minimal constrained hypothesis on the model non-linear functions. The main idea is to consider the closed loop and the error dynamic as two interacting subsystems and study them in the Input to State Stability framework. This paper provides also some results about the existence of a stabilizing output feedback for all models of a sub-class of Takagi–Sugeno models. To illustrate the efficiency of the proposed design procedures, illustrative examples and a comparative study with existing results in the literature based on more restrictive hypothesis are presented.