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. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.