Robust finite‐time stabilization of a class of high‐order stochastic nonlinear systems subject to output constraint and disturbances

• Published in: International journal of robust and nonlinear control Vol. 29; no. 16; pp. 5550 - 5573
• Main Authors: Fang, Liandi, Ma, Li, Ding, Shihong, Zhao, Dean
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.11.2019
• Subjects: adding a power integrator; Computer simulation; Constraints; Disturbances; finite‐time control; Liapunov functions; Nonlinear systems; output constraints; Robust stabilization; Robustness (mathematics); stochastic nonlinear systems; Stochastic systems; tan‐type barrier Lyapunov function
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.4685

Summary In this paper, the robust stabilization problem is addressed for a class of high‐order stochastic nonlinear systems with output constraints and disturbances by using finite‐time control technique. One of the features of the considered stochastic systems is that the fractional powers are allowed to be any positive odd rational numbers, rather than grater than or equal to one. By constructing a novel tan‐type barrier Lyapunov function and using the adding a power integrator technique, the explicit steps on how to construct a backstepping‐like finite‐time controller have been developed to handle the robust stabilization and output constraint. Rigorous mathematical proof shows that the system states will finite‐time converge to a small region of the origin and the output constraint can be kept. Finally, a simulation example is given to illustrate the effectiveness of the proposed approach.