State feedback stabilization of discrete-time nonlinear systems

M Boutayeb; K E Bouazza; M Darouach; IEEE

doi:10.1109/CDC.2002.1184342

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Conference proceeding

State feedback stabilization of discrete-time nonlinear systems

M Boutayeb, K E Bouazza, M Darouach and IEEE

PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, Vol.3, pp.3097-3098

IEEE Conference on Decision and Control

01/01/2002

DOI: https://doi.org/10.1109/CDC.2002.1184342

Abstract

Automation & Control Systems

Computer Science

Computer Science, Artificial Intelligence

Operations Research & Management Science

Science & Technology

Technology

In this note, we investigate the problem of state feedback stabilization of affine nonlinear discrete-time systems. From a prescribed Lyapunov function and a modified Riccati equation, we show that the proposed state feedback law covers a large class of dynamical systems. In particular when the unforced dynamic model is not Lyapunov stable. Sufficient conditions for asymptotic stabilization are expressed in terms of matrix inequalities. High performances of the proposed technique will be shown through academic examples.

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Title: State feedback stabilization of discrete-time nonlinear systems
Creators - without role: M Boutayeb - University of Strasbourg
K E Bouazza - Institut Henri Poincaré
M Darouach - Institut Henri Poincaré
IEEE
Publication Details: PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, Vol.3, pp.3097-3098
Series: IEEE Conference on Decision and Control
Publisher: IEEE
Number of pages: 2
Identifiers: 9930709008331
Academic Unit: Umm Al Qura University
Language: English
Resource Type: Conference proceeding