Robust fault tolerant controller design for Takagi-Sugeno systems under input saturation

Abstract

ABSTRACTIn this paper, we address the problem of fault tolerant constrained control (FTCC) design with multiobjective requirement for a class of uncertain Takagi-Sugeno systems subject to input and state constraints. An integrated robust FTC strategy is adopted by combining a descriptor approach and a novel structure of parallel distributed compensation control laws. This ensures the closed-loop system stability of the faulty system and respects the given saturation constraints on the control input. The optimisation problem is formulated using fuzzy Lyapunov function, and expressed in terms of linear matrix inequality constraints (LMIs). Numerical examples are given to show the effectiveness of the proposed FTCC approach for both measurable and unmeasurable decision variables cases.