Mode-Dependent State Observer-Based Prescribed Performance Control of Switched Systems

This brief investigates the output feedback tracking control of switched nonlinear systems with partially unstable subsystems. Under the observation of a mode-dependent state observer, the prescribed performance tracking control is achieved using the barrier Lyapunov function method. By incorporating mode-dependent average dwell time switching stability methods, a novel switching law is designed to ensure the stability of switched systems, even when some subsystems are unstable. The proposed approach is endowed with features that allow certain parameters in the fuzzy observer to not satisfy Riccati-like inequalities and ensure the tracking error falls within a given range in a specified time. Finally, the envisioned strategy is implemented on the switched resistor-inductor-capacitor system, showcasing its efficacy and real-world applicability.