Admissible H ∞ control of linear descriptor multi-agent systems with external disturbances
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© 2019 Elsevier B.V. This paper is concerned with the admissible H∞ control problem for descriptor linear multi-agent systems with external disturbances. A distributed dynamical control strategy is developed based on the relative output measurements between agents and self feedbacks. The coupled descriptor network multi-agent systems are converted into N independent systems with the same dimension. In addition, admissible H∞ performance equivalence between the coupled systems and the isolated systems is proved. Furthermore, a sufficient condition for designing the admissible H∞ controller of the coupled systems is given. Overall, the contributions in this work are to extend the existing results on admissible H∞ control of normal linear multi-agent to descriptor linear multi-agent systems, and the results are only relate to the maximum and minimum eigenvalues of Laplacian matrix. Finally, effectiveness of the proposed method is verified through some simulation examples.
author list (cited authors)
Liu, X., Xie, Y., Li, F., Huang, T., Gui, W., & Li, W.