Concept of a robust control law of the pressure in a pneumatic reservoir aided by a LMI formulation

Author

Saoud, Othman ; Bigras, Pascal

Author_Institution

Ecole de Technol. Superieure, Montreal, Que., Canada

Volume

3

fYear

2003

fDate

4-7 May 2003

Firstpage

1731

Abstract

The article presents a method for a proportional-integral (PI) control law permitting the robust stabilisation of the pressure in a pneumatic reservoir. The principal idea is to convert the nonlinearities and the uncertainties of the system in a certain number of constraints which are treated by the formalism of the linear matrix inequalities (LMI) in introducing generalised Lyapunov equations. This makes it possible to force the poles of the system in an area prescribed of the complex plan according to the desired requirements (response time, passing and mode of the system at high frequency). The solution of this problem of convex optimisation can be easily obtained. Thanks to numerical algorithms established in the software calculations of MATLAB.

Keywords

Lyapunov matrix equations; PI control; computerised control; linear matrix inequalities; optimisation; pneumatic systems; pressure control; robust control; LMI formulation; MATLAB; generalised Lyapunov equations; linear matrix inequalities; pneumatic reservoir; pressure robust stabilisation; proportional-integral control law; system poles; Delay; Frequency; Linear matrix inequalities; Nonlinear equations; Pi control; Pressure control; Proportional control; Reservoirs; Robust control; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 2003. IEEE CCECE 2003. Canadian Conference on

ISSN

0840-7789

Print_ISBN

0-7803-7781-8

Type

conf

DOI

10.1109/CCECE.2003.1226244

Filename

1226244