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Sliding Mode Control for Multiagent System with Time-Delay and Uncertainties: An LMI Approach

Pengfei Guo, Jie Zhang, Ming Lyu and Yuming Bo

Mathematical Problems in Engineering, 2013, vol. 2013, 1-12

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:805492

DOI: 10.1155/2013/805492

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