Admissible H-infinity control of linear descriptor multi-agent systems with external disturbances
Additional Document Info
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.