Reliable Consensus Problem for Multi-Agent Systems with Sampled-Data

Abstract—In this paper, reliable consensus of multi-agent systems with sampled-data is investigated. By using a suitable Lyapunov-Krasovskii functional and some techniques such as Wirtinger Inequality, Schur Complement and Kronecker Product, the results of such system are obtained by solving a set of Linear Matrix Inequalities (LMIs). One numerical example is included to show the effectiveness of the proposed criteria.

[1]  Ella M. Atkins,et al.  Distributed multi‐vehicle coordinated control via local information exchange , 2007 .

[2]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[3]  Mario di Bernardo,et al.  Analysis and stability of consensus in networked control systems , 2010, Appl. Math. Comput..

[4]  Myeong-Jin Park,et al.  Reliable Control for Linear Dynamic Systems with Time-varying Delays and Randomly Occurring Disturbances , 2014 .

[5]  Long-Yeu Chung,et al.  Robust reliable Hinfinity control for uncertain nonlinear systems via LMI approach , 2008, Appl. Math. Comput..

[6]  Engang Tian,et al.  Brief Paper Robust fault-tolerant control of networked control systems with stochastic actuator failure , 2010 .

[7]  Daizhan Cheng,et al.  Consensus of multi-agent linear dynamic systems† , 2008 .

[8]  Zhen Wang,et al.  Second-order group consensus for multi-agent systems via pinning leader-following approach , 2014, J. Frankl. Inst..

[9]  Kun Liu,et al.  Wirtinger's inequality and Lyapunov-based sampled-data stabilization , 2012, Autom..

[10]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[11]  Alexander Graham,et al.  Kronecker Products and Matrix Calculus: With Applications , 1981 .

[12]  W. Ren Consensus strategies for cooperative control of vehicle formations , 2007 .

[13]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[14]  Guangming Xie,et al.  Consensus for multi‐agent systems under double integrator dynamics with time‐varying communication delays , 2012 .

[15]  O. M. Kwon,et al.  Leader-following Consensus Criterion for Multi-agent Systems with Probabilistic Self-delay , 2012 .

[16]  Kai Liu,et al.  Leader-following consensus of multi-agent systems with jointly connected topology using distributed adaptive protocols , 2014, J. Frankl. Inst..

[17]  Yong-Yan Cao,et al.  Sampled-data control for time-delay systems , 2002, J. Frankl. Inst..