Admissibility and event-triggered dissipative observer-based stabilization of discrete-time T-S fuzzy singular systems via fuzzy Lyapunov functions

This paper presents a novel method for designing event-triggered dissipative observer-based control for discrete-time Takagi-Sugeno fuzzy singular systems, addressing admissibility, dissipativity, observer-based control, and event-triggered data challenges simultaneously. The distinctive strength of our method lies in its one-step design framework, capable of concurrently designing both fuzzy observer and controller gains without requiring any iterative search algorithms. Moreover, our proposed method not only offers flexibility by allowing for the adjustment of the fuzzy event weighting matrix in conjunction with other variables but also contributes to the enhancement of control system performance through the utilization of a fuzzy Lyapunov function. In contrast to other event-triggered output-feedback control techniques, our method stands out as it constructs the event generation function based on actual system outputs rather than estimated states, thereby ensuring that estimation errors do not influence the event-triggered mechanism.