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
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;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738893
