Stationary consensus of heterogeneous multi-agent systems with random delays governed by a Markov chain

Author

Bo Hou ; Fuchun Sun ; Hongbo Li ; Guangbin Liu

Author_Institution

Dept. of Comput. Sci., Tsinghua Univ., Beijing, China

fYear

2014

Firstpage

2236

Lastpage

2241

Abstract

The stationary consensus problem of leader-less heterogenous multi-agent systems subject to Markov jumping delays is addressed in this paper in sampled-data settings. By using a model transformation approach and Lyapunov stability theory, sufficient conditions for consensus are derived in terms of matrix inequalities. Based on cone complementarity linearization (CCL), an algorithm is proposed for the delay-dependent controller design. A numerical example is provided to verify the effectiveness of the proposed approach.

Keywords

Lyapunov methods; Markov processes; control system synthesis; delays; linear matrix inequalities; linearisation techniques; multi-agent systems; sampled data systems; stability; CCL; Lyapunov stability theory; Markov chain; Markov jumping delays; cone complementarity linearization; delay-dependent controller design; leader-less heterogeneous multiagent systems; matrix inequalities; model transformation approach; random delays; sampled-data settings; stationary consensus problem; sufficient conditions; Delay effects; Delays; Linear matrix inequalities; Markov processes; Sufficient conditions; Symmetric matrices; Topology; Heterogenous multi-agent system; cone complementarity linearization; consensus; switching control; time-delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Control (ICMC), 2014 International Conference on

Print_ISBN

978-1-4799-2537-7

Type

conf

DOI

10.1109/ICMC.2014.7231967

Filename

7231967