Fast Finite-Time Stability and Its Application in Adaptive Control of High-Order Stochastic Nonlinear Systems

In this article, a new design method for an adaptive fast finite-time controller (FTC) is proposed the stability (FTS) issue of class high-order stochastic nonlinear systems (HOSNSs) with unknown parameters. Using power integrator technology and Lyapunov function approach, state feedback derived to ensure FTS HOSNSs. The developed FTC equipped less settling time obtain better steady-state accuracy compared traditional FTC. effectiveness control scheme demonstrated by numerical example.