Adaptive fuzzy fixed-time control for non-triangular structural stochastic switching nonlinear systems

In this article, the problem of adaptive fixed-time tracking control is addressed for non-triangular structural stochastic switching nonlinear systems. Fuzzy logic systems are used to compensate for unknown nonlinearities, and in the meantime, to avoid the algebraic loop problem, which exists in traditional backstepping controller design processes for non-triangular structural nonlinear systems. The unknown control gain problem is addressed by the construction of proper Lyapunov function candidates. By employing Lyapunov stability theorem, all the closed-loop signals can be ensured to be semi-globally practical fixed-time stable, the output signal can track the desired signal, and the tracking error can converge to a small zone around the origin. The effectiveness of the developed control approach is verified through simulation results.

Automated summary

In this article, the problem of adaptive fixed-time tracking control for non-triangular structural stochastic switching nonlinear systems is addressed. Fuzzy logic systems are used to compensate for unknown nonlinearities, and the unknown control gain problem is addressed by constructing proper Lyapunov function candidates. By employing Lyapunov stability theorem, the control approach ensures semi-globally practical fixed-time stability, accurate tracking, and small tracking error. Simulation results verify the effectiveness of the developed control approach.