Robust Cooperative Output Regulation for a Network of Parabolic PDE\n Systems

2020/10/21 by Joachim Deutscher, Deutscher, Joachim
Engineering · Computer Science · #Stability and Controllability of Differential Equations #Nonlinear Dynamics and Pattern Formation #Neural Networks Stability and Synchronization

paper · pdf · doi:10.48550/arxiv.2010.11103

Abstract

This paper considers the robust cooperative output regulation for a network\nof parabolic PDE systems. The solution of this problem is obtained by extending\nthe cooperative internal model principle from finite to infinite dimensions.\nFor a time-invariant digraph describing the communication topology, a two-step\nbackstepping approach is presented to systematically design cooperative state\nfeedback regulators. They allow to solve both the leader-follower and the\nleaderless output synchronization problem in the presence of disturbances and\nmodel uncertainty for a finite-dimensional leader. Solvability conditions of\nthe robust cooperative output regulation problem are presented in terms of the\ncommunication graph and the agent transfer behaviour. The results of the paper\nare demonstrated for a MAS consisting of four uncertain parabolic agents with\nand without a finite-dimensional leader in the presence of disturbances.\n

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