Fixed-time stabilisation for a class of high-order non-linear systems

• Published in: IET control theory & applications Vol. 12; no. 18; pp. 2578 - 2587
• Main Authors: Chen, Chih-Chiang, Sun, Zong-Yao
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 18.12.2018
• Subjects: Brief Paper; continuous stabiliser; continuously differentiable Lyapunov function; fixed‐time stabilisation; fixed‐time stability; high‐order nonlinear systems; Lyapunov methods; nonlinear control systems; stability; systematic design method; high-order nonlinear systems; continuously differentiable Lyapunov function; fixed-time stabilisation; continuous stabiliser; systematic design method; nonlinear control systems; stability; fixed-time stability; Lyapunov methods
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2018.5053

The problem of fixed-time stabilisation for a class of high-order non-linear systems is studied. By introducing the manipulation of sign functions and revamping by adding a power integrator technique, a novel approach is proposed to construct a continuous stabiliser as well as a continuously differentiable Lyapunov function, which is crucial for proving fixed-time stability. The novelty of this study is the development of a systematic design method that provides a delicate solution to the problem of fixed-time stabilisation for high-order non-linear systems.