Reach control problem for affine multi‐agent dynamic systems on simplices by affine feedback
Dejing Lv, Mingze Wu, Bin Ge · Asian Journal of Control · 2022
Abstract Aiming at the reach control problem for a multi‐agent system composed of affine coupling systems, an affine controller is proposed. Different from affine single‐agent systems, additional difficulties are faced for multi‐agent systems on the reach control because of the coupling between agents. In this paper, we use the compactness and convexity of the simplex to overcome the above difficulties, and propose a sufficient condition to solve the reach control problem for multi‐agent systems, which aims to detect an affine feedback control such that each agent in the system first leaves a given simplex through a prespecified facet rather than a certain restricted facet in a finite time. In addition, necessary conditions for the solvability of the problem are obtained. Finally, the validity of the results is verified by a three‐dimensional numerical example.