Robust fuzzy fault tolerant control for a class of nonlinear coupled ODE-beam systems

This paper investigates a robust fuzzy fault tolerant control (FTC) problem for a class of coupled systems described by nonlinear ordinary differential equations (ODEs) and two nonlinear beam equations. A robust fuzzy FTC, consisting of a fuzzy FTC for the ODE subsystem and a robust boundary FTC for the beam, is developed in terms of bilinear matrix inequalities (BMIs) by Lyapunov's direct method to guarantee the exponential stability of the closed-loop coupled system in both the normal and failure cases while the unique existence of mild solution of the closed-loop normal coupled system is discussed. Finally, the simulation study of the flexible spacecraft is given to show the effectiveness of the proposed method.

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