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Practical stability analysis of sampled‐data switched systems with quantization and delay
Author(s) -
Yan Jingjing,
Wang Xinjing,
Xia Yuanqing,
Yang Hongjiu
Publication year - 2020
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.5082
Subject(s) - dwell time , control theory (sociology) , attractor , monotonic function , quantization (signal processing) , state (computer science) , mathematics , stability (learning theory) , set (abstract data type) , lyapunov function , sequence (biology) , computer science , algorithm , control (management) , nonlinear system , mathematical analysis , artificial intelligence , medicine , clinical psychology , physics , quantum mechanics , machine learning , biology , genetics , programming language
Summary This article is addressed with the problem of stabilizing a switched linear system using the sampled and quantized state feedback under the influence of time‐varying delay. The switching is supposed to be slow enough in the sense of dwell time, and each individual mode is assumed to be stabilizable. By expanding the approach of attractor set from an earlier result on the delay‐free case, we establish the relationship between the state and the adjacent sampling state by introducing a monotonically increasing sequence, and analyze the mismatch time with classification. On the basis of this, the increment rate of the Lyapunov function and the total mismatch time are combined to achieve the practical stability with an attractor set.