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Memory sliding mode control for semi‐Markov jump system with quantization via singular system strategy
Author(s) -
Fu Lei,
Ma Yuechao,
Wang Chunjiao
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.4735
Subject(s) - control theory (sociology) , sliding mode control , quantization (signal processing) , nonlinear system , mode (computer interface) , computer science , jump , mathematics , control (management) , algorithm , artificial intelligence , physics , quantum mechanics , operating system
Summary This technical note is concerned with the memory sliding mode stabilization for semi‐Markov jump nonlinear systems with input subject to mismatch quantization. Firstly, a sliding mode surface is constructed such that the sliding motion is stochastic admission in terms of linear matrix inequalities by a singular system strategy. A sufficient condition for the existence of linear memory sliding surfaces is given. Then, the memory sliding‐mode quantized controller designing problem is considered by the designed sliding surface function. Finally, a numerical example illustrates the effectiveness of the proposed method.