Design of observer-based event-driven controllers for a class of state-dependent nonlinear systems

The design problems of the observer-based event-driven controllers are investigated for the state-dependent nonlinear systems in this paper. An event-driven criterion is proposed to determine whether the newly sampled states of the designed state-dependent observer should be sent out to the controller. As a result, the communication resources can be saved significantly while the burden of the network communication can be reduced. Influenced by the event-driven controller, the closed-loop system is rewritten as the delayed system. The state-dependent integral function is introduced to be the Lyapunov function candidate to obtain less conservative asymptotic stability conditions and preserve the desired H∞ performance for the closed-loop system. The observer gain matrix, the controller gain matrix and the event-driven parameters are co-designed and co-obtained in terms of solution to a set of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method in this paper is illustrated by the numerical examples and the tunnel diode circuit systems.