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Robust H ∞ Control of Discrete‐time Singular Systems via Integral Sliding Surface
Author(s) -
Bai Jianjun,
Lu Renquan,
Wu Zhengguang,
Zhang Ridong,
Zhao Xiaodong,
Xue Anke
Publication year - 2018
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.1638
Subject(s) - control theory (sociology) , integral sliding mode , sliding mode control , trajectory , constraint (computer aided design) , surface (topology) , controller (irrigation) , mathematics , disturbance (geology) , mode (computer interface) , attenuation , ideal (ethics) , robust control , computer science , control (management) , control system , engineering , nonlinear system , law , physics , geometry , biology , operating system , paleontology , quantum mechanics , political science , agronomy , astronomy , electrical engineering , artificial intelligence , optics
In this paper, the sliding mode control for a class of uncertain discrete‐time singular system withH ∞performance constraint is studied. By taking the singular matrix E into consideration, a new type of integral sliding mode surface is firstly introduced, based on which a sufficient condition is derived to guarantee the sliding mode dynamics admissible with a given γ ‐level disturbance attenuation of the unmatched disturbance. A controller law is also given to keep the system trajectory staying in a neighborhood of the ideal sliding surface. Finally, a numerical example is given to show the effectiveness of the proposed approach.