On simple scheme of finite/fixed-time control design. Issue 6 (2nd June 2020)

• Record Type: Journal Article
• Authors: Zimenko, Konstantin; Polyakov, Andrey; Efimov, Denis; Perruquetti, Wilfrid
• Is Part Of: International journal of control. Volume 93:Issue 6(2020)
• Page Start: 1353
• Page End: 1361
• Publication Date: 2020-06-02
• Subjects: Finite-time stabilisation -- fixed-time stabilisation -- homogeneity; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2018.1506889
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: Control laws are designed for stabilisation of a chain of integrators of arbitrary degree in finite and fixed time. Presented control laws are obtained with use of Lyapunov function method and homogeneity concept. The present analysis is based on use of explicitly defined Lyapunov function that is the hallmark with respect to similar works. This analysis allows to get simple procedure of parameters tuning and obtain new estimates for settling-time function. The theoretical results are supported by numerical examples.