Predictor-based \(H_\infty\) leader-following consensus of stochastic multi-agent systems with random input delay. (English) Zbl 1472.93171
Summary: In this paper, we investigate \(H_\infty\) leader-following consensus of multi-agent systems with state multiplicative noise governed by stochastic differential equations and random time-varying input delays which satisfy a certain probability. A new predictor-based controller is designed based on the reduction approach to guarantee \(H_\infty\) leader-following consensus is achieved in mean square sense. By designing a Lyapunov function and using stochastic techniques, sufficient conditions are obtained in a form of linear matrix inequalities. Finally, a simulation is given to demonstrate the effectiveness of the obtained theoretical results.
MSC:
| 93D50 | Consensus |
| 93A16 | Multi-agent systems |
| 93A13 | Hierarchical systems |
| 93B36 | \(H^\infty\)-control |
| 93E03 | Stochastic systems in control theory (general) |
Keywords:
\(H_\infty\) leader-following consensus; multi-agent systems; noise; predictor-based control; random input delaysReferences:
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