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Robust Stabilization and H ∞ Control of Cooperative Driving System with Time Delay in Variable Speed‐Limited Area from Cyber‐Physical Perspective
Author(s) -
Chen Dong,
Sun Di Hua,
Li Yang,
Zhao Min,
Zheng Lin Jiang
Publication year - 2020
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.1870
Subject(s) - control theory (sociology) , controller (irrigation) , variable (mathematics) , linear matrix inequality , computer science , nonlinear system , lyapunov stability , stability (learning theory) , robust control , cruise control , cyber physical system , scheme (mathematics) , control (management) , control engineering , control system , engineering , mathematics , mathematical optimization , mathematical analysis , physics , electrical engineering , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , operating system
In order to suppress traffic congestion and reduce traffic accidents, a cooperative driving systems with time‐varying delay and nonlinearity under uncertain external disturbances in a variable speed‐limited area is proposed from a cyber‐physical perspective. Robust stabilization of the cooperative driving system is investigated by using Lyapunov‐Krasovskii functional stability theory. Robust H ∞ control is designed to guarantee that the proposed system is robustly stable. Meanwhile, sufficient conditions for the state feedback controller are proposed to attenuate the external disturbances on the basis of linear matrix inequality. Finally, some useful results are obtained from the comparisons between without control scheme, existing ACC (adaptive cruise control) scheme, and the proposed control scheme, which could suppress traffic congestion and reduce traffic accidents.