Event-Triggered Dissipative Control for Discrete-Time T-S Fuzzy Singular Systems Based on PQLF

This paper concerns with the problem of event-triggered dissipative control for discrete-time fuzzy singular systems. By adopting the fuzzy modeling and the idea of input delay method, the nonlinear singular system with event-triggered control scheme is reformulated as a new piecewise fuzzy singular system with time delays. Based on the PQLF and some techniques on matrix convexification, an approach to the event-trigger dissipative piecewise state-feedback controller design is developed for the system concerned to be strictly (W
₁
, W
₂
, W
₃
) - γ-dissipative. In addition, the controller gain and the event triggering parameters have been derived by solving a series of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.