Decentralized sliding mode control for a class of nonlinear interconnected systems by static state feedback. (19th January 2020)

• Record Type: Journal Article
• Authors: Feng, Jiehua; Zhao, Dongya; Yan, Xing‐Gang; Spurgeon, Sarah K.
• Is Part Of: International journal of robust and nonlinear control. Volume 30:Number 6(2020)
• Page Start: 2152
• Page End: 2170
• Publication Date: 2020-01-19
• Subjects: decentralized control -- nonlinear interconnected systems -- sliding mode control -- static state feedback; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4869
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: In this paper, a class of interconnected systems is considered, where the nominal isolated systems are fully nonlinear. A robust decentralized sliding mode control based on static state feedback is developed. By local coordinate transformation and feedback linearization, the interconnected system is transformed to a new regular form. A composite sliding surface which is a function of the system state variables is proposed and the stability of the corresponding sliding mode dynamics is analyzed. A new reachability condition is proposed and a robust decentralized sliding mode control is then designed to drive the system states to the sliding surface in finite time and maintain a sliding motion thereafter. Both uncertainties and interconnections are allowed to be unmatched and are assumed to be bounded by nonlinear functions. The bounds on the uncertainties and interconnections have more general forms when compared with existing work. A MATLAB simulation example is used to demonstrate the effectiveness of the proposed method.