Periodic Event-triggered Control for Incrementally Quadratic Nonlinear Systems
It offers a systematic PETC design for a broad class of nonlinear systems, but the approach is incremental, extending existing impulsive system formulations to incrementally quadratic nonlinearities.
This paper designs periodic event-triggered controllers for incrementally quadratic nonlinear systems with disturbances, providing explicit sampling periods and triggering functions to ensure input-to-state stability. The method is validated with two examples.
Periodic event-triggered control (PETC) evaluates the triggering rule periodically and is well-suited for implementation on digital platforms. This paper investigates PETC design for nonlinear systems affected by external disturbances under the impulsive system formulation. Sufficient conditions are provided to ensure the input-to-state stability of the resulting closed-loop system for the state feedback and the observer-based output feedback configurations separately. For each configuration, the sampling period and the triggering functions are provided explicitly. Sufficient conditions in the form of linear matrix inequalities are provided for the PETC design of incrementally quadratic nonlinear systems. Two examples are given to illustrate the effectiveness of the proposed method.