Semi-global output containment control for discrete-time descriptor multi-agent systems with input saturation

Abstract

Abstract: The semi-global output containment control for discrete-time descriptor multi-agent systems with input saturation under a directed communication topology. Firstly, the original problem is transformed into an output regulation problem with a distributed observer. Secondly, the explicit solution of a descriptor system is obtained by a parametric discrete-time Riccati equation, the constrained equivalent decomposition of a descriptor system. Thirdly, the semi-global output containment control protocols are constructed based on a distributed state observer and an output regulator, and sufficient conditions for the stability of the system are given by selecting an appropriate Lyapunov function. It is proved that the output of all followers can converge to the convex hull formed by the leaders under the designed control protocol. Finally, the effectiveness of the proposed distributed protocols is verified by a numerical example.

Key words: discrete-time descriptor multi-agent systems, input saturation, semi-global output containment control, low gain feedback, parametric discrete-time Riccati equation

CLC Number:

TP13
TP273

WANG Zhi-wen, WANG Yu-ying, LU Yan-rong, DU Nan, LI Xiao-fang. Semi-global output containment control for discrete-time descriptor multi-agent systems with input saturation[J]. Journal of Lanzhou University of Technology, 2024, 50(6): 76-84.

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URL: https://journal.lut.edu.cn/EN/

https://journal.lut.edu.cn/EN/Y2024/V50/I6/76

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