ICGST- ACSE Journal

ACSE Volume (9) - Issue (II) ICGST

Robust Control for a Class of Nonlinear Systems

Tlili saber1, Mibar hassen2

Unit of research (RME), INSAT, Tunisia
Centre urbain Nord, B.P. N°676, 1080 Tunis Cedex, Tunisia

Abstract
This paper is concerned with the control problem synthesis for nonlinear systems using linear technique. The proposed algorithm consists on an approximation of the non-linear systems by a set of uncertain linear models and presents a systematic approach for non-linear control design by using the gain scheduling technique to insure the transition of a non-linear dynamical process from an actual operating condition to a desired one. The non-linear system is represented in neighborhood of equilibrium points by a family of uncertain linear systems. A robust control law is built so as to insure asymptotic stability to a given equilibrium within a maximal ellipsoidal region. Given a pre-specified equilibrium curve connecting the initial and final points. Output feedback for the local robust control synthesis are considered, together with local performance criteria. A simple numerical experiment is provided to illustrate both the effectiveness of the synthesis and the performance achieved.

Keywords: Robust control, Gain Scheduling, Transition Control, Norm bounded uncertainties, Linear Matrix Inequalities (LMI).

(P1110909663, 742 KB)

@ARTICLE{P1110909663,

AUTHOR = {Tlili saber and Mibar hassen},
 
TITLE = {Robust Control for a Class of Nonlinear Systems},

JOURNAL = {ICGST International Journal on Automatic Control and Systems Engineering, ACSE},

YEAR = {2009},

VOLUME = {09},

ISSUE = {II},

PAGES={15--22}

}

(P1110909663, 724 KB)