Observer-Based Fuzzy Adaptive Event-Triggered Control Codesign for a Class of Uncertain Nonlinear Systems

This paper is concerned with the simultaneous design of a fuzzy-based output feedback control law and an adaptive event-triggering condition for a class of single-input and single-output uncertain nonlinear systems in the presence of a communication channel between the plant and the controller. To this aim, a Lyapunov-based technique is adopted in an impulsive dynamic system framework to ensure local stability and tracking performance. The proposed Lyapunov formulation yields an event-triggered algorithm to update the control input and fuzzy weights based on conditions involving the closed-loop state, which are aperiodically updated only at the event-sampled instants. Furthermore, a positive lower bound on the minimum intersample time is guaranteed to avoid accumulation point. Different from the existing traditional time-triggered control schemes, the developed method samples the state and updates the controller and fuzzy weights only when it is necessary. Clearly, this can largely decrease the communication burden of the communication network. Finally, the effectiveness of the proposed method is illustrated using simulation examples.