Consensus control of incommensurate fractional-order multi-agent systems: An LMI approach

被引：15
作者：
Bahrampour, Elham [1 ]
Asemani, Mohammad Hassan [1 ]
Dehghani, Maryam [1 ]
Tavazoei, Mohammad [1 ]
机构：
[1] Shiraz Univ, Sch Elect & Comp Engn, Shiraz, Iran
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2023年 / 360卷 / 06期
关键词：
COOPERATIVE CONTROL; STABILITY ANALYSIS; STABILIZATION; NETWORK; AGENTS; STATE;
D O I：
10.1016/j.jfranklin.2023.02.025
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper concentrates on the distributed consensus control of heterogeneous fractional-order multiagent systems (FO-MAS) with interval uncertainties. Unlike previous methods, no restrictive assumptions are considered on the fractional-orders of the agents and they can have non-identical fractional-orders. Therefore, the closed-loop system becomes an incommensurate fractional-order system and its stability analysis is not easy. It makes consensus control more challenging. To design a systematic controller, new Lyapunov-based Linear Matrix Inequality (LMI) conditions are proposed which are suitable to determine the state feedback controller gains. Then, the consensus of heterogeneous fractional-order agents with an observer-based controller is provided. Finally, some numerical examples are provided to verify the effectiveness of our results. (c) 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：4031 / 4055
页数：25
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