Intermittent Dynamic Output Feedback Control for State-Based Stochastic Switched Systems and Its Application to Electronic Circuits

This study aims to explore the stabilization problem of state-based fuzzy switched dynamic systems with Lévy noise, non-differentiable delay and actuator saturation through a novel intermittent output feedback control mechanism. Firstly, the delay studied in this study is non-differentiable, eliminating the harsh condition that the delay in the existing conventional system must be differentiable or even require the derivative to be less than 1, and replacing the existing common Brownian motion with Lévy noise that is more realistic to simulate the inevitable stochastic noise in the system, which has more theoretical research significance and exploration value. Subsequently, by means of dynamic output feedback mechanism, a new intermittent output feedback control scheme is designed to replace the conventional intermittent state feedback control scheme, which has important practicability and flexibility in practical control. Especially, a novel stabilization criterion is developed by selecting a novel switching-Lyapunov function in combination with two novel lemma pairs for solving non-differentiable terms and actuator saturation. Furthermore, two additional algorithms are given to maximize the attraction domain of the closed-loop system and to minimize the control gain matrix in order to minimize the control cost. Finally, a numerical example is used to verify the validity of the developed results, and a meaningful additional practical electronic circuit model is provided to prove its practicability and superiority.