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

fYear

2007

fDate

27-29 June 2007

Firstpage

1

Lastpage

6

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/MED.2007.4433888

Filename

4433888