Seeking Consensus in Networks of Linear Agents: Communication Noises and Markovian Switching Topologies
Authors:
- 19 September 2014
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 60 (5) , 1374-1379
Abstract
The stochastic consensus problem of linear multi-input multi-output (MIMO) multi-agent systems (MASs) with communication noises and Markovian switching topologies is studied in this technical note. The agent's full state is first estimated by the state observer, and then the estimated state is exchanged with neighbor agents through a noisy communication environment. The communication topology is randomly switching and the switching law is described by a continuous-time Markovian chain. Then a consensus protocol is proposed for this MAS, and some sufficient conditions are obtained for ensuring the mean square and almost sure consensus. In addition, if the communication topology is fixed, some necessary and sufficient conditions for the mean square consensus can be obtained according to whether or not each agent in the system has parents.Keywords
Funding Information
- National Natural Science Foundation of China (61370032, 61422310, 61225017, 61421004, 61120106010)
- National Science Foundation (ECCS-1307678)
- Beijing Nova Program under (Z121101002512066)
- State Key Laboratory of Intelligent Control and Decision of Complex Systems
This publication has 16 references indexed in Scilit:
- Containment control of multi-agent systems in a noisy communication environmentAutomatica, 2014
- Continuous-Time Markov Jump Linear Systems2013
- Convergence Results for the Linear Consensus Problem under Markovian Random GraphsSIAM Journal on Control and Optimization, 2013
- Distributed Parameter Estimation Over Unreliable Networks With Markovian Switching TopologiesIEEE Transactions on Automatic Control, 2012
- Solving a modified consensus problem of linear multi-agent systemsAutomatica, 2011
- Distributed consensus for multi-agent systems with delays and noises in transmission channelsAutomatica, 2011
- Consensus seeking in multiagent systems under dynamically changing interaction topologiesIEEE Transactions on Automatic Control, 2005
- A Unified Approach for Stochastic and Mean Square Stability of Continuous-Time Linear Systems with Markovian Jumping Parameters and Additive DisturbancesSIAM Journal on Control and Optimization, 2005
- Matrix Analysis1985
- Phase-variable canonical forms for linear, multi-input, multi-output systems†International Journal of Control, 1973