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LQR-Based Optimal Distributed Cooperative Design for Linear Discrete-Time Multiagent Systems
Journal article

LQR-Based Optimal Distributed Cooperative Design for Linear Discrete-Time Multiagent Systems

Huaguang Zhang, Tao Feng, Hongjing Liang and Yanhong Luo
IEEE transaction on neural networks and learning systems, v 28(3), pp 599-611
01 Mar 2017
PMID: 26540717

Abstract

Computer Science Computer Science, Artificial Intelligence Computer Science, Hardware & Architecture Computer Science, Theory & Methods Engineering Engineering, Electrical & Electronic Science & Technology Technology
In this paper, a novel linear quadratic regulator (LQR)-based optimal distributed cooperative design method is developed for synchronization control of general linear discretetime multiagent systems on a fixed, directed graph. Sufficient conditions are derived for synchronization, which restrict the graph eigenvalues into a bounded circular region in the complex plane. The synchronizing speed issue is also considered, and it turns out that the synchronizing region reduces as the synchronizing speed becomes faster. To obtain more desirable synchronizing capacity, the weighting matrices are selected by sufficiently utilizing the guaranteed gain margin of the optimal regulators. Based on the developed LQR-based cooperative design framework, an approximate dynamic programming technique is successfully introduced to overcome the (partially or completely) model-free cooperative design for linear multiagent systems. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design methods.

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Web of Science research areas
Computer Science, Artificial Intelligence
Computer Science, Hardware & Architecture
Computer Science, Theory & Methods
Engineering, Electrical & Electronic
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