A Gramian-Based Approach to Model Reduction for Uncertain Systems

Li Li; Petersen I.R.

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A Gramian-Based Approach to Model Reduction for Uncertain Systems

机译：基于Gramian的不确定系统模型约简方法

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摘要

The technical note considers a problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The technical note introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. Based on these Gramians, three model reduction approaches are investigated for the underlying uncertain systems.

机译：该技术说明考虑了具有结构化范数有界不确定性的一类不确定系统的模型简化问题。该技术说明根据某些参数化代数Riccati不等式介绍了可控制性和可观测性Gramian。基于这些Gramian，针对潜在的不确定系统研究了三种模型简化方法。

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来源
《Automatic Control, IEEE Transactions on》 |2010年第2期|P.508-514|共7页
作者
Li Li; Petersen I.R.;
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作者单位

Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia;

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Linear fractional transformation; linear matrix inequality; model reduction; uncertain systems;

机译：线性分数变换;线性矩阵不等式;模型约简;不确定系统;

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A Gramian-Based Approach to Model Reduction for Uncertain Systems

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