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Synthesis of Distributed Robust H-Infinity Controllers for Interconnected Discrete Time Systems

机译:互连离散时间系统的分布式鲁棒H-∞控制器综合

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摘要

This paper presents an algorithm for the synthesis of robust distributed controllers for interconnected linear discrete-time systems. For a network of interconnected uncertain linear time-invariant systems, the distributed controller achieves robust stability and a guaranteed level of robust performance in a well-defined H∞ sense. The setting of this paper is in discrete time. Based on the theory of dissipative dynamical systems, conditions for the analysis of robust stability and robust performance of networks are derived in terms of feasibility tests of linear matrix inequalities. From these conditions, computationally tractable synthesis conditions are derived. An iterative D-K type of synthesis algorithm is proposed that yields a robust distributed controller. Convergence properties of the algorithm are inferred.
机译:本文提出了一种用于互连线性离散时间系统的鲁棒分布式控制器的综合算法。对于互连的不确定线性时不变系统的网络,分布式控制器在定义良好的H∞感上实现了鲁棒的稳定性和保证的鲁棒性能。本文的设置时间是离散的。基于耗散动力系统理论,根据线性矩阵不等式的可行性测试,得出了分析网络鲁棒稳定性和鲁棒性能的条件。从这些条件中,得出计算上容易处理的合成条件。提出了一种迭代D-K类型的综合算法,该算法可产生鲁棒的分布式控制器。推断算法的收敛性。

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