Abstract
His paper investigates the output tracking problem for a class of switched nonlinear systems with timevarying delays. Such systems are characterized by switching among multiple subsystems as well as the presence of delays that vary over time, which significantly complicates their dynamics. The combined effects of switching and time delays may result in degraded control performance, oscillatory behaviors, and, in some cases, loss of stability. Therefore, the synthesis of effective control laws for such systems constitutes an important and challenging problem in modern control theory. A state-feedback control law is proposed to achieve the desired output tracking performance. The proposed approach is designed to ensure the boundedness of all signals in the closed-loop system in the presence of nonlinearities, switching, and timevarying delays. The stability properties of the system and the dynamics of the tracking error are analyzed using Lyapunov-Krasovskii functionals, which allow the influence of time delays on system behavior to be explicitly taken into account. It is shown that an appropriate selection of the control gains can significantly reduce the destabilizing effects caused by switching and time-varying delays. To validate the theoretical results, numerical simulation results are presented, demonstrating the effectiveness of the proposed control strategy and confirming its applicability to a broad class of switched nonlinear systems with time-varying delays.