Advances on the transient growth quantification in linear control systems

被引：0

作者：

Smirnov, Georgi ^{[1
]}

Bushenkov, Vladimir ^{[2
]}

Miranda, Francisco ^{[3
]}

机构：

[1] Univ Porto, Fac Ciencias, Dept Matemat Aplicada, Ctr Matemat, Rua Campo Alegre 687, P-4169007 Oporto, Portugal

[2] Univ Evora, Dept Matemat, Ctr Invest Matemat & Aplicacoes, P-7000671 Evora, Portugal

[3] Inst Politecn Viana do Castelo, P-4901908 Viana Do Castelo, Portugal

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2009年 / 14卷 / J09期

关键词：

large deviation of solutions; peak effect; stabilization process; linear control systems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A single-input controllable control system is considered. By the pole assignment theorem, there exists a linear feedback yielding a linear differential equation with any given set of eigenvalues. It is shown that there is a large deviation of the solutions from the equilibrium position at the beginning of the stabilization process, whenever the module of the eigenvalues is very small or very big.

引用

页码：82 / 92

页数：11

共 6 条

[1] Optimal and robust control and estimation of linear paths to transition [J].