Disturbance attenuation with fast global finite‐time convergence for generalized high‐order uncertain nonlinear systems. (11th November 2019)

• Record Type: Journal Article
• Authors: Sun, Zong‐Yao; Wang, Min; Chen, Chih‐Chiang; Meng, Qinghua
• Is Part Of: International journal of robust and nonlinear control. Volume 30:Number 2(2020)
• Page Start: 824
• Page End: 841
• Publication Date: 2019-11-11
• Subjects: fast finite‐time -- high‐order uncertain nonlinear system -- sign function; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4780
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper focuses on the problem of disturbance attenuation with fast global finite‐time convergence (FTC) for a class of generalized high‐order uncertain nonlinear systems. Combining the fast finite‐time stabilization technique with a delicate manipulation of sign functions, a new control approach is proposed to attenuate the serious uncertainties substantially, including time‐varying control coefficients, nonlinear parameters, and external disturbances, while achieving the performance evaluated in terms of L 2 ‐ L 2 p gain. A notable feature of the control strategy is the fast FTC, which greatly shortens the convergent time when the initial state is far away from the origin. A numerical example is provided to demonstrate the effectiveness of the proposed method.