Non‐singular terminal sliding mode controller design for nonlinear systems with prescribed convergence time guarantees

Author:

Shi Shang12ORCID,Dai Liaoxuan1,Min Huifang3ORCID,Hu Yinlong1

Affiliation:

1. College of Energy and Electrical Engineering Hohai University Nanjing China

2. School of Automation Southeast University Nanjing China

3. School of Automation Nanjing University of Science and Technology Nanjing China

Abstract

AbstractThis paper considers the prescribed‐time non‐singular terminal sliding mode control (TSMC) for nonlinear systems with uncertainties bounded by non‐negative functions. At first, a new Lyapunov theorem for prescribed‐time stability is introduced. Then, a novel terminal sliding surface together with a non‐singular TSMC input is constructed by using a time‐varying scaling function. Strict analysis shows that the proposed controller is able to ensure the exact reaching of the sliding surface as well as the system states to zero in a prescribed time independent of the system initial conditions. Moreover, all the state signals and the control input remain uniformly bounded. Finally, simulation comparison with the existing fixed‐ and prescribed‐time TSMC is given to verify the effectiveness of the theoretical results.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

China Postdoctoral Science Foundation

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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1. Decomposition and composition modeling algorithms for control systems with colored noises;International Journal of Adaptive Control and Signal Processing;2023-10-19

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