摘要:

The singular perturbation theory provides a powerful design and analysis approach for model order reduction. Another method of simplifying the calculation of feedback gains in an LQG problem is the Chandrasekhar algorithm, which replaces the usual Riccati approach. The method presented in this paper combines the advantages inherent in the singular perturbation theory with those of the Chandrasekhar algorithm. This is accomplished by using lower dimensional Chandrasekhar equations for calculating the asymptotic expansion terms of the feedback gains. Two alternative design procedures are given. In one procedure the fast or boundary layer gains are calculated first followed by the slow or reduced gains. In the other procedure a more conventional design sequence is adopted. That is, first the reduced problem is solved and the boundary layer correction terms are added later on if needed.

ISSN:0020-7179    

DOI:10.1080/00207178408933234

出版商:Taylor & Francis Group    

年代:1984

数据来源: Taylor

摘要:

In Bialas (1983), a condition is given which is supposedly necessary and sufficient for the stability of interval matrices. We demonstrate, via a counter-example, that the condition given is, in fact,notsufficient.

ISSN:0020-7179    

DOI:10.1080/00207178408933235

出版商:Taylor & Francis Group    

年代:1984

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207178408933236

出版商:Taylor & Francis Group    

年代:1984

数据来源: Taylor

摘要:

Amemiya (1983) has shown that in some cases a system is delay-independent stabilizable, but the decaying-rate is not freely assignable. In the present correspondence it is shown that in the latter case, it is always possible to assign a decaying-rate.

ISSN:0020-7179    

DOI:10.1080/00207178408933237

出版商:Taylor & Francis Group    

年代:1984

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207178408933238

出版商:Taylor & Francis Group    

年代:1984

数据来源: Taylor