State and output feedback control for constrained discrete-time nonlinear systems. (November 2019)

• Record Type: Journal Article
• Authors: Moussaoui, Lotfi; Aouaouda, Sabrina; Chadli, Mohammed; Bouhali, Omar; Righi, Ines
• Is Part Of: European journal of control. Volume 50(2019)
• Page Start: 79
• Page End: 87
• Publication Date: 2019-11
• Subjects: Time-varying nonlinear systems -- Takagi–Sugeno models -- Actuator saturation -- Stability -- Dynamic output feedback -- Linear matrix inequality (LMI); Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2019.04.004
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: This paper presents a new systematic controller design approach for disturbed nonlinear time-varying systems subject to input and state constraints in discrete-time case. The Takagi–Sugeno (TS) formalism and fuzzy Lyapunov framework are used to handle the time varying parameters and control input saturation. Moreover, the proposed control method is based on L 2 criterion which results in two different control design procedures. Both non-parallel distributed compensation (non-PDC) static state feedback control law and dynamics output feedback controller are proposed. To ensures the closed-loop system stability with respect to the given saturation constraints on the control input different optimization problem are also formulated in terms of linear matrix inequality conditions which can be solved efficiently with available solvers. The proposed techniques are illustrated through numerical examples.