Observer-Based Controller for Impulsive Switched Systems with Uncertain Inputs Note: Sub-titles are not captured in Xplore and should not be used

This paper presents the design of an observer-based controller for impulsive switched systems with uncertain inputs, focusing on three main components: switching signal estimation, state estimation using a full-order observer, and state feedback control. a specialized observer is utilized to precisely determine the switching signals and pinpoint the active subsystem at any moment. The second stage utilizes a full-order observer to estimate the system states while addressing the challenges posed by unknown inputs and impulsive effects. Finally, the third stage designs a robust state feedback controller based on the estimated states and switching signals to stabilize the system and ensure desired performance. This method employs Lyapunov-based analysis and Linear Matrix Inequality (LMI) formulations to derive criteria that guarantee the rapid convergence of estimation errors and ensure the stability of the entire system. Simulation results highlight the effectiveness of this three-stage approach, demonstrating significant improvements in switching signal detection, state estimation accuracy, and stabilization compared to traditional methods.