DGIST Scholar: H-infinity consensus performance for discrete-time multi-agent systems with communication delay and multiple disturbances

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H-infinity consensus performance for discrete-time multi-agent systems with communication delay and multiple disturbances

Title: H-infinity consensus performance for discrete-time multi-agent systems with communication delay and multiple disturbances

Author(s): Park, M. J. ; Kwon, O. M. ; Park, Ju H. ; Lee, S. M. ; Son, J. W. ; Cha, E. J.

Subject: Algorithm ; Algorithms ; Communication Delays ; Computer System ; Convex Approach ; Discrete-Time Multi-Agent System ; Discrete-Time Multi-Agent Systems ; H Infinity Consensus ; Inear Matrix Inequality ; Interpersonal Communication ; Linear Matrix Inequalities ; Linear System ; Lyapunov-Krasovskii Functional (L-K) ; Lyapunov Method ; Lyapunov Methods ; Mathematical Computing ; Mathematical Model ; Multi Agent Systems ; Multiple Disturbance ; Optimization Algorithms ; Priority Journal ; Probability ; Problem Solving ; Process Optimization ; System Analysis ; Time-Delay

Abstract: This paper proposes a new H∞ consensus criterion for discrete-time multi-agent systems with communication-delay and disturbances. By constructing a suitable Lyapunov-Krasovskii (L-K) functional, which fractionizes the delay interval into two subsections, and utilizing reciprocally convex approach, a new H∞ consensus criterion for the concerned systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed method. © 2014 Elsevier B.V.