Stability Analysis and Stabilization of Discrete-Time Switched Nolinear Systems with Mode-Dependent Average Dwell Time Under Nested Actuator Saturation

The paper delves into the problems of stability analysis and state-feedback controller design for discrete-time switched nolinear systems (SNSs), employing mode-dependent average dwell time (MDADT). Dependent on parameter-sensitive discontinuous switching Lyapunov functions and several fundamental lemmas, the key objective is to formulate a controller for the system under consideration to secure stability,and adjusting to the sector's conditions to handle the nested actuator saturation. Then the necessary conditions and the initial zone securing the local exponential stability(LES) of the switched system are put forth. By solving the Linear Matrix Inequality(LMI) conditions, the controller gain is devised, and the system is given a stable attraction domain. The proposed methodology's effectiveness is validated through two illustrative examples.