Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems. (6th September 2017)

• Record Type: Journal Article
• Authors: Liu, Leipo; Song, Xiaona; Fu, Zhumu; Song, Shuzhong
• Other Names: Mikhlin Yuri Vladimirovich Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-09-06
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/7202584
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper is concerned with disturbance observer-based input-output finite-time control of a class of nonlinear systems with one-sided Lipschitz condition, as well as multiple disturbances. Firstly, a disturbance observer is constructed to estimate the disturbance generated by an exogenous system. Secondly, by integrating the estimation of disturbance with a classical state feedback control law, a composite control law is designed and sufficient conditions for input-output finite-time stability (IO-FTS) of the closed-loop system are attained. Such conditions can be converted into linear matrix inequalities (LMIs). Finally, two examples are given to show the effectiveness of the proposed method.