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Non‐Fragile Observer‐Based ℋ ∞ Control for Uncertain Neutral‐Type Systems via Sliding Mode Technique
Author(s) -
Liu Zhen,
Gao Cunchen,
Xiao Huimin,
Kao Yonggui
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1391
Subject(s) - control theory (sociology) , reachability , sliding mode control , observer (physics) , state observer , controller (irrigation) , linear matrix inequality , attenuation , exponential stability , mode (computer interface) , computer science , mathematics , control (management) , mathematical optimization , nonlinear system , algorithm , physics , artificial intelligence , optics , quantum mechanics , agronomy , biology , operating system
This paper is concerned with the problem of observer‐basedℋ ∞control for a class of uncertain neutral‐type systems subjected to external disturbance by utilizing sliding mode technique. A novel sliding mode control (SMC) strategy is proposed based on the state estimate and the output. A new sufficient condition of robust asymptotic stability withℋ ∞disturbance attenuation level for the overall systems composed of the original system and error system in the sliding mode is derived in terms of a linear matrix inequality (LMI). Then, a new adaptive controller is designed to guarantee the reachability of the predefined sliding surface in finite‐time. Finally, numerical examples are provided to verify the effectiveness of the proposed method.