Finite-time bounded control design for one-sided Lipschitz differential inclusions-Reference-Cited by-同舟云学术

Finite-time bounded control design for one-sided Lipschitz differential inclusions

Published:2020-09-28 Issue:6 Volume:235 Page:943-951
ISSN:0959-6518
Container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

Author:

Zhou Chenglai¹,He Ping¹²³⁴⁵^ORCID,Li Heng³,Li Zuxin⁴,Wei Zhouchao⁶,Mi Haoyang⁷,Wei Wei⁸,Li Yangmin⁹^ORCID

Affiliation:

1. Department of Industrial Engineering, School of Intelligent Systems Science and Engineering (Institute of Physical Internet), Jinan University, Zhuhai, People’s Republic of China

2. Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, People’s Republic of China

3. Department of Building and Real Estate, The Hong Kong Polytechnic University, Hung Hom, Hong Kong

4. School of Engineering, Huzhou University, Huzhou, People’s Republic of China

5. Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science & Engineering, Zigong, People’s Republic of China

6. School of Mathematics and Physics, China University of Geosciences, Wuhan, People’s Republic of China

7. National Engineering Research Center for Advanced Polymer Processing Technology, Zhengzhou University, Zhengzhou, People’s Republic of China

8. School of Computer Science and Engineering, Xi’an University of Technology, Xi’an, People’s Republic of China

9. Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Mechanical Engineering,Control and Systems Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/0959651820958830

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