Reliable H_∞ control for discrete-time delayed fuzzy systems via scaled small gain theorem
Wang Shen-qua · Control theory & applications · 2014
The reliable H∞control is investigated for discrete-time T–S(Takagi-Sugeno) fuzzy systems with timevarying delay and actuator faults based on input-output approach. A realistic discrete-time homogeneous Markov chain is used to represent the stochastic behavior of actuator faults. First, the discrete-time delayed T–S fuzzy system is transformed to the form of interconnected two subsystems by a new model transformation. Furthermore, the scaled small gain theorem is employed to analyze the stochastic stability of interconnected subsystems. By constructing a parameter-dependent Lyapunov function, we established sufficient conditions for achieving input-output mean-square stability with H∞performances. Meanwhile, the reliable H∞fuzzy controller design method is also presented. Two numerical examples are provided to demonstrate the effectiveness of the proposed approach.