An alternative LMI static output feedback control design for discrete-time nonlinear systems represented by Takagi–Sugeno models. (January 2019)

• Record Type: Journal Article
• Authors: Estrada-Manzo, V.; Lendek, Zs.; Guerra, T.M.
• Is Part Of: ISA transactions. Volume 84(2019)
• Page Start: 104
• Page End: 110
• Publication Date: 2019-01
• Subjects: Static output feedback -- Nonlinear systems -- Delayed non-quadratic Lyapunov function -- Linear matrix inequalities; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2018.08.025
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper presents a static output feedback controller design for discrete-time nonlinear systems exactly represented by Takagi–Sugeno models. By introducing past states in the control law as well as in the Lyapunov function, more relaxed results are obtained. Different conditions in terms of linear matrix inequalities are provided. The proposed conditions are less demanding than the ones in the literature. This is illustrated via numerical examples. Highlights: Reducing conservativeness of TS-LMI approaches. Using exact Takagi–Sugeno models directly applies to the nonlinear setup. Delayed nonquadratic Lyapunov functions relaxes the results of traditional ones. LMI conditions are numerically solvable via convex optimization techniques.