H2/H∞ Control of Singularly Perturbed Systems: The State Feedback Case

被引：3

作者：

Datta, Kanti B. ^{[1
]}

RaiChaudhuri, Aparajita ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Elect Engn, Kharagpur 721302, W Bengal, India

[2] BESU, Dept Elect Engn, Howrah 711103, India

来源：

EUROPEAN JOURNAL OF CONTROL | 2010年 / 16卷 / 01期

关键词：

Singularly perturbed systems; H-2/H-infinity control; optimal control; robust control; INFINITY-OPTIMAL-CONTROL; GUARANTEED COST CONTROL; UNCERTAIN LINEAR-SYSTEMS; COMPOSITE CONTROL; MIXED H2;

D O I：

10.3166/EJC.16.54-69

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The design of a mixed H-2/H-infinity linear state variable feedback (LSVF) suboptimal controller for a continuous-time singularly perturbed system using reduced order slow and fast subsystems is described. It is shown that the designed controller based on reduced order models and the corresponding performance index (PI) both are O(epsilon) close to those synthesized using the full order system. Each of the three algebraic matrix equations to be sequentially solved in our study, contains three matrix variables coupled in them. Two of these equations can be made independent of the matrix gain variable under mild restrictions.

引用

页码：54 / 69

页数：16

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