Observer-based adaptive fuzzy finite-time tracking control of switched nonlinear systems

In this article, we investigate the finite-time output feedback control issue for switched nonlinear systems. In the design procedure, fuzzy logic systems are used for identifying the unknown functions in switched nonlinear systems. A common state observer is constructed such that the unmeasured states can be measured. Based on the framework of the backstepping algorithm, an observer-based finite-time adaptive tracking control strategy is proposed via the common Lyapunov function approach. The stability analysis process confirms in detail that all the closed-loop signals are bounded under arbitrary switchings and the tracking error can converge to a small neighbourhood of the origin after a finite period of time. In order to verify the feasibility of the proposed control scheme, a numerical simulation example is shown in this paper.

Automated summary

In this article, the finite-time output feedback control issue for switched nonlinear systems is investigated. Fuzzy logic systems are used for identifying unknown functions and a common state observer is constructed in order to measure unmeasured states. An observer-based finite-time adaptive tracking control strategy is proposed based on the backstepping algorithm and the common Lyapunov function approach. The stability analysis confirms that the closed-loop signals are bounded and the tracking error can converge to the origin after a finite period of time.