Local Stabilization of Nonlinear Discrete-Time Systems Subject to Amplitude Bounded Disturbances*. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Klug, Michael; Castelan, Eugenio B.; Coutinho, Daniel
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 8472
• Page End: 8477
• Publication Date: 2017-07
• Subjects: nonlinear systems -- fuzzy T-S models -- local stability -- amplitude bounded disturbances -- state feedback; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.818
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The stabilization problem of nonlinear discrete-time systems subject to amplitude bounded disturbances by means of Takagi-Sugeno (T-S) fuzzy models is considered in this paper. The linear matrix inequality (LMI) approach is applied to design a state feedback fuzzy controller such that the system trajectories are ultimately bounded, that is, the state trajectory starting in a set of admissible initial conditions is guaranteed to converge in finite time to a nearby region of the state space origin. Numerical examples are considered to illustrate the approach demonstrating the effectiveness of the proposed technique for the control synthesis of nonlinear discrete-time systems.