广义系统的分散H2控制器设计:一种LMI方法

Q3 Mathematics

Nonlinear Dynamics and Systems Theory Pub Date : 2006-03-01 DOI:10.3182/20050703-6-CZ-1902.01549

G. Zhai, Masaharu Yoshida, J. Imae, Tomoaki Kobayashi

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引用次数: 5

摘要

研究了多通道线性时不变广义系统的分散H2控制问题。我们的兴趣是设计一个低阶动态输出反馈控制器。将控制问题简化为一个双线性矩阵不等式(BMI)的可行性问题，该不等式关于定义控制器的系数矩阵、李雅普诺夫矩阵和与描述符矩阵相关的矩阵的变量。在描述子矩阵与测量输出矩阵(或控制输入矩阵)匹配的条件下，我们提出将BMI中的Lyapunov矩阵适当地设置为块对角线，从而将BMI约化为lmi。

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Decentralized H2 Controller Design for Descriptor Systems: An LMI Approach;

This paper considers a decentralized H2 control problem for multichannel linear time-invariant (LTI) descriptor systems. Our interest is to design a low order dynamic output feedback controller. The control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI) with respect to variables of a coefficient matrix defining the controller, a Lyapunov matrix and a matrix related to the descriptor matrix. Under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), we propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.

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来源期刊

Nonlinear Dynamics and Systems Theory Mathematics-Applied Mathematics

CiteScore

1.60

自引率

0.00%

发文量

期刊介绍： Nonlinear Dynamics and Systems Theory is an international journal published quarterly. The journal publishes papers in all aspects of nonlinear dynamics and systems theory according to its scope. The object of the journal is to promote collaboration in the world community and to develop the contemporary nonlinear dynamics and systems theory.