Event-triggered Asynchronous Filter of Switched Nonlinear Positive Systems

This paper is concerned with the event-triggered nonlinear filter (ETNF) problem of switched nonlinear positive systems (SNPSs) under asynchronous switching. The nonlinearities of the systems are located into several sector fields. Under a 1-norm inequality-based event-triggering condition, the augmented filter error systems are established by considering the subsystems and the corresponding filters in the matched and mismatched time intervals. Multiple copositive Lyapunov functions (MCLFs) associated with an average dwell time (ADT) switching are employed for the systems. A nonlinear asynchronous filter based on event-triggering mechanism is constructed for the underlying systems with nonlinear disturbance in terms of the matrix decomposition technique. The novelties contain three aspects: (i) A nonlinear filter is constructed for SNPSs, (ii) A linear programming (LP)-based filter gain design approach is introduced, and (iii) An event-triggering mechanism is developed for SNPSs. Finally, one example is given to verify the effectiveness of the obtained results.