Non-fragile – control for discrete-time stochastic nonlinear systems under event-triggered protocols
Ying Zhi Sun, Derui Ding, Sunjie Zhang, Guoliang Wei, Hongjian Liu · International Journal of General Systems · 2018
In this paper, the non-fragile ℓ2–ℓ∞ control problem is investigated for a class of discrete-time stochastic nonlinear systems under event-triggered communication protocols, which determine whether the measurement output should be transmitted to the controller or not. The main purpose of the addressed problem is to design an event-based output feedback controller subject to gain variations guaranteeing the prescribed disturbance attenuation level described by the ℓ2–ℓ∞ performance index. By utilizing the Lyapunov stability theory combined with S-procedure, a sufficient condition is established to guarantee both the exponential mean-square stability and the ℓ2–ℓ∞ performance for the closed-loop system. In addition, with the help of the orthogonal decomposition, the desired controller parameter is obtained in terms of the solution to certain linear matrix inequalities. Finally, a simulation example is exploited to demonstrate the effectiveness of the proposed event-based controller design scheme.