Sliding mode tracking control using finite‐time differentiator in high‐orders nonlinear systems with output stochastic signals

Abstract

This article presents sliding mode tracking control using finite-time nonlinear differentiator (FND) to the high-orders nonlinear systems that states are unknown and the output measurement signals involves stochastic disturbances. The FND using singular perturbation technique is applied to estimate the unknown states in the tracking system, and not rely on the model information under the condition of output stochastic signals. The stochastic noises involved in the output measurement signals are restrained sufficiently by the FNDs. The design of sliding mode tracking controller using FND reduces the chattering phenomenon efficiently. The analysis of systems stability and differentiator robustness is demonstrated. The comparative simulation results show that the sliding mode controller using FND track the desired trajectory in high accuracy with tracking errors fast convergence.

Mean square exponential stabilization of uncertain time‐delay stochastic systems with fractional Brownian motion

“…In Reference 16 the SMC stabilization of singular Markovian systems with classical Brownian motion has been studied with a stochastic sliding surface. There are other new works in this field; for instance see References 17–24 and the references therein.…”