Sampled‐data output feedback stabilization for a class of upper‐triangular nonlinear systems with input delay

Abstract

AbstractThis article focuses on the sampled‐data output feedback stabilization for a class of upper‐triangular nonlinear systems with input delay and ‐normal structure, a reduced‐order observer with the detected sampled output measurement is constructed to evaluate the unavailable states of the considered system, and the backstepping method with adding a power integral technique are adopted to construct the sampled‐data output feedback stabilizer. By selecting a suitable Lyapunov–Krasovskii functional, we can demonstrate that the adverse effects caused by the uncertain input delay can be effectively constrained, and the resulting closed‐loop system with appropriate design constants and allowable sampling period can reach globally stable. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed control method.