A new finite time control method to nonlinear systems with uncertain dynamics and time‐varying powers

Author:

Xue Lingrong1,Liu Zhen‐Guo2ORCID,Zhang Weihai3ORCID

Affiliation:

1. School of Information Shanxi University of Finance and Economics Taiyuan China

2. School of Automation and Software Engineering Shanxi University Taiyuan China

3. College of Electrical Engineering and Automation Shandong University of Science and Technology Qingdao China

Abstract

AbstractThe existing researches mainly focused on control issues of systems with constant powers. In practical engineering, it shows that some dynamic systems have time‐varying powers, which result in the inapplicability of many reported methods. Besides, nonlinear systems constantly suffer from uncertain dynamics. This article discusses the control issue of systems which possess uncertain dynamics and time‐varying powers. By introducing a new Lyapunov function which contains quadratic components and high‐order components and raising a novel recursive design strategy, we successfully design a semi‐global practical finite time controller which allows uncertain dynamics and larger range of system powers. Numerical and practical examples show that the presented strategy is valid.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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