Adaptive practical preassigned finite‐time stability for a class of pure‐feedback systems with full state constraints. (20th March 2019)

• Record Type: Journal Article
• Authors: Liu, Yang; Liu, Xiaoping; Jing, Yuanwei
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 10(2019)
• Page Start: 2978
• Page End: 2994
• Publication Date: 2019-03-20
• Subjects: adaptive backstepping control -- barrier Lyapunov functions -- full state constraints -- practical preassigned finite‐time stability -- pure‐feedback systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4532
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper focuses on an adaptive practical preassigned finite‐time control problem for a class of unknown pure‐feedback nonlinear systems with full state constraints. Two new concepts, called preassigned finite‐time function and practical preassigned finite‐time stability, are defined. In order to achieve the main result, the pure‐feedback system is first transformed into an affine strict‐feedback nonlinear system based on the mean value theorem. Then, an adaptive preassigned finite‐time controller is obtained based on a modified barrier Lyapunov function and backstepping technique. Finally, simulation examples are exhibited to demonstrate the effectiveness of the proposed scheme.