Sliding Mode Control for Consensus Tracking of Second-Order Nonlinear Multi-Agent Systems Driven by Brownian Motion
The consensus tracking problem of nonlinear stochastic multi-agent systems with directed topologies is investigated in this study. To solve the consensus tracking problem, first, an innovative concept of sub-reachability is introduced, and then, the specified sliding hyperplane is designed. A novel consensus tracking protocol is then proposed by using sliding mode techniques. With the help of Itô integral techniques and stochastic Lyapunov method, the sub-reachability of sliding motion and consensus tracking are proved; that is, the sliding mode variable structure control protocol steers the consensus errors to the given sliding surface in a finite time, and the sliding motion is exponentially stable in the sense of mean square. The efficacy of the proposed method is tested by a numerical case.
B. Zhao et al., "Sliding Mode Control for Consensus Tracking of Second-Order Nonlinear Multi-Agent Systems Driven by Brownian Motion," SCIENCE CHINA Information Sciences, vol. 61, no. 7, Science in China Press, Jul 2018.
The definitive version is available at https://doi.org/10.1007/s11432-017-9407-6
Engineering Management and Systems Engineering
National Natural Science Foundation of China
Keywords and Phrases
Consensus Tracking Errors; Ito Integral Techniques; Sliding Hyperplane; Sliding Mode Variable Structure Control Protocol; Stochastic Nonlinear Multi-Agent Systems; Sub-Reachability
International Standard Serial Number (ISSN)
Article - Journal
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