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The infinite time near optimal decentralized regulator problem for singularly perturbed systems: a convex optimization approach

机译:奇摄动系统的无限时间近最优分散调节器问题:凸优化方法

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This paper presents LQ decentralized pole location for singularly perturbed systems. The poles are located in a sector included in the left-half complex plane. The singular perturbation method is used to define reduced and well-behaved problems. It is shown that the LQ control problem with pole location in a sector can be solved using the LMI tool. The associated parametrical optimization problem involves a linear cost objective under LMI constraints. The decentralized control problem is then solved in the reduced slow system by just introducing structure constraints on the matrix variables, constraints that do not destroy the linearity and then the convexity of the problem. (C) 2002 Published by Elsevier Science Ltd. [References: 14]
机译:本文介绍了奇异摄动系统的LQ分散极点位置。极点位于左半数复平面中的一个扇区中。奇异摄动法用于定义减少和行为良好的问题。结果表明,使用LMI工具可以解决扇区中极点位置的LQ控制问题。相关的参数优化问题涉及LMI约束下的线性成本目标。然后,通过在矩阵变量上引入结构约束,即不破坏线性度的约束,然后解决问题的凸性,来解决慢速系统中的分散控制问题。 (C)2002由Elsevier Science Ltd.发布[参考:14]

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