Sliding Mode Control for Multiagent System with Time-Delay and Uncertainties: An LMI Approach. (11th November 2013)

• Record Type: Journal Article
• Authors: Guo, Pengfei; Zhang, Jie; Lyu, Ming; Bo, Yuming
• Other Names: Yang Rongni Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-11-11
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/805492
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper considers the sliding mode control of multiagent systems (MAS) with time-delay and uncertainties in terms of linear matrix inequality (LMI). By constructing virtual feedback control method, the design of control system is simplified for time-delay independent system without uncertainties. For a class of uncertain systems with single time-delay, the essence of SMC design is analyzed in order to acquire a simple method for designing sliding surface. In terms of multiple timedelay system with uncertainties, a sufficient condition for sliding surface with independent time-delay is acquired, while control law is also designed to ensure the robust stability of closed-loop system. Finally, the effectiveness of conclusion is demonstrated by simulation results.