DocumentCode
2243055
Title
On the averaging method for affine in control systems
Author
Stepanyan, Vahram ; Kurdila, Andrew
Author_Institution
Dept. of Mech. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
316
Lastpage
321
Abstract
In this paper we discuss implications of control influence terms on the application of the classical averaging theory to affine in control systems. It is shown that the classical averaging theorem can be extended to the control systems, provided that the controllability and stability properties of the system are preserved in the course of the averaging. Sufficient conditions are given for the equivalence between the original and averaged system in the sense that the stabilizing control law designed for the averaged system also stabilizes the original system and vise versa.
Keywords
control system synthesis; control systems; controllability; stability; averaged system; averaging theory; control system; controllability; stabilizing control law; system design; Control systems; Controllability; Equations; Piezoelectric transducers; Pulse width modulation; Pulse width modulation converters; Robust control; Robust stability; Stability analysis; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4738893
Filename
4738893
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