Global stabilization of switched nonlinear time-delay systems with unknown measurement sensitivities

This paper investigates the global output feedback stabilization problem for switched feedforward nonlinear time-delay systems under asynchronous switching. The key feature of the considered system is that the differentiability of the output function is not guaranteed, since the unknown measurement sensitivities exist in the output. Based on the appropriate state transformation and the observer, a dual-domination method is proposed to design the output feedback controller. Different from the existing works, the sensor uncertainty problem for switched systems is addressed for the first time. By using the average dwell time (ADT) method and the multiple Lyapunov-Krasovskii functionals (MLKFs) theory, the global asymptotic stability of switched nonlinear systems is proved.