Dissipative analysis for network-based singular systems with non-fragile controller and event-triggered sampling scheme

This paper investigates the problem of dissipative based non-fragile controller for network-based singular systems with event-triggered sampling scheme. Based on the Lyapunov–Krasovskii functional approach which fully uses the available information about the actual sampling pattern, a new set of sufficient conditions is obtained to guarantee that the closed-loop network-based singular systems are regular, impulsive free, asymptotically stable and strictly (Q,S,R)−θ dissipative. Moreover, a design algorithm for the desired controller with event-triggered sampling scheme is formulated in terms of linear matrix inequalities. By solving an optimization problem with some inequality constraints, the explicit expression of the non-fragile controller gain matrix is characterized to achieve the required result. Finally, two numerical examples are provided to demonstrate the effectiveness and superiority of the proposed control design scheme.