Title :
Geometric control in a regulator problem for electrohydraulic servos
Author :
Ursu, Ioan ; Ursu, Felicia ; Halanay, Andrei ; Balea, Silvia
Author_Institution :
Elie Carafoli Nat. Inst. for Aerosp. Res., Bucharest
Abstract :
A five-dimensional nonlinear mathematical model of the electrohydraulic servo(mechanism) is considered. In the system equilibria analysis, the critical case of a zero eigenvalue occurs. The Lyapunov-Malkin theorem and Routh-Hurwitz criterion provide conditions for controllers to stabilize all relevant equilibria in the closed-loop system. Geometric control paradigm is then applied in synthesis and the performance of the obtained controlled system is numerically validated from viewpoint of the regulator classical problem.
Keywords :
Lyapunov methods; closed loop systems; eigenvalues and eigenfunctions; electrohydraulic control equipment; geometry; hydraulic systems; servomechanisms; Lyapunov-Malkin theorem; Routh-Hurwitz criterion; closed-loop system; electrohydraulic servos; geometric control; nonlinear mathematical model; regulator problem; stability; system equilibria analysis; zero eigenvalue; Control system synthesis; Control systems; Electrohydraulics; Mathematical model; Mathematics; Optimal control; Regulators; Servomechanisms; Sliding mode control; Valves;
Conference_Titel :
Control & Automation, 2007. MED '07. Mediterranean Conference on
Conference_Location :
Athens
Print_ISBN :
978-1-4244-1282-2
Electronic_ISBN :
978-1-4244-1282-2
DOI :
10.1109/MED.2007.4433888
