Adaptive fuzzy asymptotic control for switched nonlinear systems with state constraints

This article presents an adaptive fuzzy asymptotic tracking control method for switched nonlinear systems with state constraints. The fuzzy logic systems are employed to dispose the lumped unknown dynamics. The state constraints are addressed with the aid of the barrier Lyapunov function. Moreover, drawing support from some well-defined smooth functions, the asymptotic tracking controller is recursively constructed based on backstepping technique. Through Lyapunov analysis and the common Lyapunov function method, it is shown that the system output tracking error asymptotically converges to zero and all system signals are bounded under the switching signal. Finally, the validity of the developed scheme is elucidated by simulation example.

Automated summary

An adaptive fuzzy asymptotic tracking control method is proposed for switched nonlinear systems with state constraints, utilizing fuzzy logic systems to handle unknown dynamics and the barrier Lyapunov function to address state constraints. By recursively constructing the asymptotic tracking controller based on backstepping technique, the system output tracking error is shown to converge to zero and system signals are bounded under the switching signal. The effectiveness of the developed scheme is demonstrated through simulation examples.