Event-triggered dissipative double asynchronous controller for interval type-2 fuzzy semi-Markov jump systems with state quantization and actuator failure

The issue of strictly exponential dissipation stability for the interval type-2 fuzzy semi-Markov jump systems is investigated. A quantized method is proposed to cope with uncertainties, actuator failures, time-varying delay and nonlinear disturbance of the system. To avoid the waste of network resources, the mode-dependent event-triggered mechanism with particular threshold parameters is used to screen the conveyed signal. Due to that the premise variables and the modes tend to be mismatched between the system and the controller, a novel double asynchronous controller is proposed. Then, the sufficient conditions are acquired to ensure the system is strictly (Γ₁,Γ₂,Γ₃)-σ-dissipative exponentially stable by using the integral inequalities. Furthermore, the gains of the fuzzy controller can be expressed concretely through a skillful matrix decoupling method. At last, the effectiveness of the approach is illustrated via three examples.