A unified approach to finite‐time stabilization of high‐order nonlinear systems with and without an output constraint

• Published in: International journal of robust and nonlinear control Vol. 29; no. 2; pp. 393 - 407
• Main Author: Chen, Chih‐Chiang
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 25.01.2019
• Subjects: barrier Lyapunov function; finite‐time stabilization; high‐order nonlinear systems; Liapunov functions; Nonlinear systems; output constraint; sign function; Stabilization; State feedback
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.4393

Summary This paper considers the problem of state feedback finite‐time stabilization for a class of high‐order nonlinear systems with an output constraint. By proposing a novel tan‐type barrier Lyapunov function combined with manipulating sign functions, the technique of adding a power integrator is skillfully revamped to develop a systematic approach that guides us to construct a state feedback finite‐time stabilizer for high‐order nonlinear systems while preventing the violation of a prespecified output constraint during operation. The proposed approach is a unified tool in the sense that it can provide a finite‐time stabilizer design even when the constraint is infinite, or equivalently, there is no need for a constraint. A simple example is presented to demonstrate the effectiveness of the proposed strategy.