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Global second‐order sliding mode control for nonlinear uncertain systems
Author(s) -
Shi Shang,
Xu Shengyuan,
Zhang Baoyong,
Ma Qian,
Zhang Zhengqiang
Publication year - 2018
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.4385
Subject(s) - differentiator , bounded function , control theory (sociology) , nonlinear system , constraint (computer aided design) , convergence (economics) , controller (irrigation) , sliding mode control , mode (computer interface) , class (philosophy) , computer science , variable (mathematics) , control (management) , order (exchange) , mathematics , mathematical optimization , physics , mathematical analysis , economics , computer network , geometry , bandwidth (computing) , finance , quantum mechanics , artificial intelligence , agronomy , biology , economic growth , operating system
Summary Second‐order sliding mode (SOSM) control is used to keep exactly a constraint σ of the second relative degree or to avoid chattering phenomenon. Yet, the traditional SOSM controllers are designed based upon the assumption that the uncertainties or their derivatives are bounded by positive constants. In this paper, a global SOSM controller is designed for a general class of single‐input–single‐output nonlinear systems with uncertainties bounded by positive functions. Moreover, a variable‐gain robust exact differentiator is developed such that the SOSM controllers with finite‐time convergence can also be implemented even when the derivative of the constraint σ is unavailable. Simulation results are given to show the effectiveness of the proposed method.