Robust finite‐time stabilization of a class of high‐order stochastic nonlinear systems subject to output constraint and disturbances. (25th July 2019)

• Record Type: Journal Article
• Authors: Fang, Liandi; Ma, Li; Ding, Shihong; Zhao, Dean
• Other Names: Edwards Christopher guestEditor.; Simani Silvio guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 16(2019)
• Page Start: 5550
• Page End: 5573
• Publication Date: 2019-07-25
• Subjects: adding a power integrator -- finite‐time control -- output constraints -- stochastic nonlinear systems -- tan‐type barrier Lyapunov function; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4685
• Languages: English
• ISSNs: 1049-8923

Abstract

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.