TY - JOUR
T1 - Finite-time bounded control design for one-sided Lipschitz differential inclusions
AU - Zhou, Chenglai
AU - He, Ping
AU - Li, Heng
AU - Li, Zuxin
AU - Wei, Zhouchao
AU - Mi, Haoyang
AU - Wei, Wei
AU - Li, Yangmin
N1 - Funding Information:
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the National Natural Science Foundation of China (grant nos 11705122 and 61902268), the Fundamental Research Funds for the Central Universities, China University of Geosciences, Wuhan (grant no. CUGGC05), the Natural Science Foundation of Jinan University (grant no. 2019QNGG26), the Hong Kong Research Grants Council, University Grants Committee (grant nos BRE/PolyU 152099/18E, PolyU 15204719/18E, BRE/PolyU 152047/19E and BRE/PolyU 15210720), the Natural Science Foundation of The Hong Kong Polytechnic University (grant no. G-YW3X), the Sichuan Province Science and Technology Program (grant nos 2020YFH0124, 2019YFSY0045, 2018GZDZX0046 and 2018JY0197), the Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province (grant no. 2018RZJ01), the Nature Science Foundation of Sichuan University of Science and Engineering (grant no. 2017RCL52), the Special Foundation of High-tech Zone of Zigong (grant no. 2021) and the Zigong Science and Technology Program of China (grant nos 2019YYJC03 and 2019YYJC15).
Publisher Copyright:
© IMechE 2020.
PY - 2021/7
Y1 - 2021/7
N2 - This article considers finite-time bounded controller design for one-sided Lipschitz nonlinear differential inclusions. Sufficient conditions of finite-time bounded criterion are given employing convex hull Lyapunov function approach. An algorithm is designed to calculate the finite-time bounded controller. Moreover, a system initial state selection method is presented to find the domain of system initial state aid for transforming quasi-linear matrix inequality–based conditions to linear matrix inequality-based conditions. Finally, a numerical example and a comparison experiment example are given to illustrate the effectiveness of this proposed design method.
AB - This article considers finite-time bounded controller design for one-sided Lipschitz nonlinear differential inclusions. Sufficient conditions of finite-time bounded criterion are given employing convex hull Lyapunov function approach. An algorithm is designed to calculate the finite-time bounded controller. Moreover, a system initial state selection method is presented to find the domain of system initial state aid for transforming quasi-linear matrix inequality–based conditions to linear matrix inequality-based conditions. Finally, a numerical example and a comparison experiment example are given to illustrate the effectiveness of this proposed design method.
KW - convex hull Lyapunov function
KW - Finite-time bounded control
KW - finite-time bounded controller
KW - nonlinear differential inclusions
UR - http://www.scopus.com/inward/record.url?scp=85091687563&partnerID=8YFLogxK
U2 - 10.1177/0959651820958830
DO - 10.1177/0959651820958830
M3 - Journal article
AN - SCOPUS:85091687563
SN - 0959-6518
JO - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
ER -