Stabilization of Switched Nonlinear Systems with Dynamic Output Feedback and Event-based Sampling

The paper considers the problem of sampled-data control for switched nonlinear systems with dynamic output feedback, where the sampling times for control inputs and output measurements are determined using event-based strategies. Our results are based on constructing a novel Lyapunov function for switched systems where the Lyapunov function for each subsystem is not required to have a linear decay (during flows) or linear growth (during jumps). Analysis based on this function results in a lower bound on the average dwell-time for stability of the switched system. Similar construction is then used to analyze the controlled switched system where each subsystem is stabilized by a dynamic output feedback controller where the measurements passed to the controller, and the control inputs sent to the plant, are both time-sampled with zero-order hold. With appropriate design of dynamic filters and event-based sampling algorithms, we can show that the overall closed-loop system with sampled measurements is globally asymptotically stable.