Title :
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
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;
Conference_Titel :
Mechatronics and Control (ICMC), 2014 International Conference on
Print_ISBN :
978-1-4799-2537-7
DOI :
10.1109/ICMC.2014.7231967
