On the stability bounds of singularly perturbed systems

The stability bound problem of linear time-invariant singularly perturbed systems is considered. A set of new stability conditions based on the frequency-domain representation is derived. The stability criteria can be easily verified by computing certain singular values within finite frequency inter...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 35; no. 11; pp. 1265 - 1270
Main Authors CHEN, B O R-S E N, LIN, C H U N-L I A N G
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.11.1990
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Automatic control
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Controllability
Difference equations
Digital control
Discrete time systems
Exact sciences and technology
Feedback
MIMO
Riccati equations
Stability
Time varying systems
Perturbation theory
Stability
Linear system
Singular perturbation
Frequency domain method
Invarying system
System analysis
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Summary:The stability bound problem of linear time-invariant singularly perturbed systems is considered. A set of new stability conditions based on the frequency-domain representation is derived. The stability criteria can be easily verified by computing certain singular values within finite frequency intervals. Illustrative examples show that the proposed criteria actually induce a less conservative epsilon bound than the existing criteria, and for certain cases an infinite epsilon bound may be obtained.< >
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/9.59817