DocumentCode
844423
Title
Stability of viscoelastic control systems
Author
Skaar, Steven B. ; Michel, Anthony N. ; Miller, Richard K.
Author_Institution
Dept. of Eng. Sci. & Mech., Iowa State Univ., Ames, IA, USA
Volume
33
Issue
4
fYear
1988
fDate
4/1/1988 12:00:00 AM
Firstpage
348
Lastpage
357
Abstract
Classical root locus plot analysis is adapted to some one-dimensional, controlled, distributed, viscoelastic structures. The constitutive law that is used for the viscoelastic material may be modeled with fractional order derivatives provided the control law(s) involve similar derivatives. Two sample one-dimensional structures and control systems are used to introduce the approach. A partial-differential-equation representation of each structure is used as well as Ritz approximation. The effect of error due to approximation on stability conclusions is discussed in the context of this comparison
Keywords
distributed parameter systems; partial differential equations; root loci; stability; Ritz approximation; fractional order derivatives; partial-differential-equation; root locus plot; stability; viscoelastic control systems; Capacitive sensors; Control systems; Damping; Distributed control; Elasticity; Feedback control; Stability; Stress; Transfer functions; Viscosity;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.192189
Filename
192189
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