عنوان مقاله فارسی: طراحی توزیع بهینه توزیع شده مبتنی بر LQR برای سیستم های چند منظوره با زمان گسسته خطی

عنوان مقاله لاتین: LQR-Based Optimal Distributed Cooperative Design for Linear Discrete-Time Multiagent Systems

نویسندگان: Huaguang Zhang; Tao Feng; Hongjing Liang; Yanhong Luo

تعداد صفحات: 12

سال انتشار: 2017

زبان: لاتین

Abstract:

In this paper, a novel linear quadratic regulator (LQR)-based optimal distributed cooperative design method is developed for synchronization control of general linear discrete-time 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.