Finite-time adaptive fuzzy output tracking of switched nonlinear systems with ISD-ADT.

• Different from existing results in [34,35,36], in which only the state feedback control is considered, we study the switched state observer-based adaptive output feedback control issue of switched systems in this paper. Moreover, under the framework of ADT and the backstepping technique, a novel adaptive finite-time controller is established for switched nonlinear systems to guarantee that the closed-loop system is stable in finite time. • To lessen the conservatism produced by the CLF, which is employed in all subsystems [37,38], a more flexible and efficient ADT method is proposed to guarantee the tracking performance of the switched systems. In addition, different adaptive output feedback controllers and different update laws are designed for different subsystems. • This paper is the first time to realize the finite-time stability with the ISD-ADT method for switched systems. Compared with the finite-time control results in [39,40,41,42,43], a singularity-free adaptive fuzzy finite time tracking controller is designed by employing a smooth switched function, and the singularity problem can be avoided completely. This article is devoted to the initial state-dependent average dwell time (ISD-ADT) based output feedback control issue for switched systems. First, a switched observer is given to estimate the unmeasurable states. Based on the ISD-ADT method and backstepping technique, a novel switching law is established. Second, based on the smooth switch function (SSF), a novel fuzzy adaptive finite-time control algorithm is recursively fabricated, which availably surmounted the singularity hindrance derived from the differentiating virtual control law. Furthermore, the proposed output feedback control approach can steer the tracking error into an arbitrarily small residual set in a finite time. In addition, different switched filters and controllers are introduced to reduce the conservatism and restriction caused by employing the common filter and controller for different subsystems. Ultimately, the theoretical findings are validated through two simulation examples. [ABSTRACT FROM AUTHOR]