Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems

In this paper, static and dynamic output feedback controllers are designed for a class of switched nonlinear time-delay systems in the presence of exogenous disturbances and parameter uncertainties to achieve finite-time boundedness (FTB) of the closed-loop system. Moreover, an H-infinity index is guaranteed with respect to the exogenous disturbances using auxiliary matrices and the average dwell time method (ADT). The presented theorems in this paper are less conservative compared to the existing papers and there are more degrees of freedom to achieve a feasible solution. Then, the proposed static and dynamic controllers are derived for linear cases to avoid unnecessary conservatism. Finally, to illustrate the capabilities of the designed controllers, three examples are simulated and the performance of the proposed controllers is compared with existing methods. (C) 2020 Elsevier Inc. All rights reserved.