Open AccessFast smooth second-order sliding mode control for systems with additive colored noises
Author(s) -
Pengfei Yang,
Yangwang Fang,
Youli Wu,
Yunxia Liu,
Danxu Zhang
Publication year - 2017
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0178455
Subject(s) - control theory (sociology) , sliding mode control , controller (irrigation) , noise (video) , nonlinear system , reachability , lyapunov function , mathematics , convergence (economics) , bounded function , variable structure control , computer science , algorithm , control (management) , mathematical analysis , physics , quantum mechanics , artificial intelligence , agronomy , economics , image (mathematics) , biology , economic growth
In this paper, a fast smooth second-order sliding mode control is presented for a class of stochastic systems with enumerable Ornstein-Uhlenbeck colored noises. The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the design of the controller. The finite-time convergence of the prescribed sliding variable dynamics system is proved by using stochastic Lyapunov-like techniques. Then the proposed sliding mode controller is applied to a second-order nonlinear stochastic system. Simulation results are presented comparing with smooth second-order sliding mode control to validate the analysis.