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Fault-tolerant control for T-S fuzzy systems with actuator faults: A fault partitioning approach

This paper proposes a new approach to investigate the fault-tolerant control problem for Takagi-Sugeno fuzzy systems with actuator faults. The fault is considered to be time-varying and has a lower and upper bounds. By using the fault partitioning idea, a new fuzzy fault-tolerant control model is formulated, in which the actuator faults has several fault modes with fault parameters, and the switching among them is governed by a finite-state Markov chain with partly unknown transition probabilities. Then a fault-partitioning-dependent stability criterion is derived by combining the stability theory of Markov jump systems and the convex combination technique. The fault tolerant controller is designed in terms of linear matrix inequalities, which guarantees the faulty system is stochastically stable. A numerical example is given to illustrate the effectiveness of the proposed methods.