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Robust finite‐time stabilization of a class of high‐order stochastic nonlinear systems subject to output constraint and disturbances
Author(s) -
Fang Liandi,
Ma Li,
Ding Shihong,
Zhao Dean
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4685
Subject(s) - backstepping , constraint (computer aided design) , control theory (sociology) , nonlinear system , integrator , lyapunov function , controller (irrigation) , mathematics , class (philosophy) , mathematical optimization , computer science , control (management) , adaptive control , computer network , physics , geometry , bandwidth (computing) , quantum mechanics , artificial intelligence , agronomy , biology
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.