Adaptive Finite-Time Stabilization of Stochastic Nonlinear Systems Subject to Full-State Constraints and Input Saturation

• Published in: IEEE transactions on automatic control Vol. 66; no. 3; pp. 1306 - 1313
• Main Authors: Min, Huifang, Xu, Shengyuan, Zhang, Zhengqiang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Adaptive finite-time control; Adaptive systems; Approximation; Backstepping; barrier Lyapunov function (BLF); Constraints; Feedback control; full-state constraints; input saturation; Liapunov functions; Lyapunov methods; Nonlinear systems; Reference signals; Saturation; semi-globally finite-time stability in probability (SGFSP); Stability analysis; stochastic nonlinear systems; Stochastic processes; Stochastic systems; Theorems; Tracking control; Uncertainty

In this article, the adaptive finite-time tracking control is studied for state constrained stochastic nonlinear systems with parametric uncertainties and input saturation. To this end, a definition of semiglobally finite-time stability in probability (SGFSP) is presented and a related stochastic Ly...