An improved result on overshoot estimation

In (D. Cheng et. al, 2004),(D. Cheng et. al, 2005), it is proved that for a given controllable pair (A, B) with A isin Ropf n times n , B isin Ropf n times m , and any lambda > 0, a gain matrix K can be designed so that pare (A + BK)t par les Mlambda L e -lambdat where M and L are constants indep...

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Published in2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control pp. 2396 - 2398
Main Authors Zhijian Ji, Shixu Xu, Xiaoxia Guo
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2006
Subjects
Automation
Control systems
Eigenvalues and eigenfunctions
Feedback
Intelligent control
Linear systems
Mathematics
Oceans
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Summary:In (D. Cheng et. al, 2004),(D. Cheng et. al, 2005), it is proved that for a given controllable pair (A, B) with A isin Ropf n times n , B isin Ropf n times m , and any lambda > 0, a gain matrix K can be designed so that pare (A + BK)t par les Mlambda L e -lambdat where M and L are constants independent of A. Here we show that M and L can be chosen much smaller than that proposed in (D. Cheng et. al, 2004),(D. Cheng et. al, 2005). As a consequence, the estimation on overshoot of a transition matrix can be bounded more precisely. This can be regarded as a complement to the result presented in (D. Cheng et. al, 2004),(D. Cheng et. al, 2005)
ISSN:2165-3011
2165-302X
DOI:10.1109/CACSD-CCA-ISIC.2006.4777015