Non‐Fragile Sliding Mode Control of Uncertain Chaotic Systems | Zendy

Leipo Liu | Zendy; Zhengzhi Han | Zendy; Zhumu Fu | Zendy

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Non‐Fragile Sliding Mode Control of Uncertain Chaotic Systems

Author(s) -

Leipo Liu,

Zhengzhi Han,

Zhumu Fu

Publication year - 2011

Publication title -

journal of control science and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 18

eISSN - 1687-5257

pISSN - 1687-5249

DOI - 10.1155/2011/859159

Subject(s) - control theory (sociology) , sliding mode control , chaotic , controller (irrigation) , mode (computer interface) , disturbance (geology) , stability theory , surface (topology) , chaotic systems , state (computer science) , computer science , control (management) , mathematics , nonlinear system , physics , algorithm , artificial intelligence , geometry , quantum mechanics , agronomy , biology , operating system , paleontology

This paper is concerned with non-fragile sliding mode control of uncertain chaotic systems with external disturbance. Firstly, a new sliding surface is proposed, and sufficient conditions are derived to guarantee that sliding mode dynamics is asymptotically stable with a generalized H2 disturbance rejection level. Secondly, non-fragile sliding mode controller is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the effectiveness of the proposed method

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