Design of Polynomial Control Laws for Polynomial Systems Subject to Actuator Saturation

This paper presents results for the design of polynomial control laws for polynomial systems in global and regional contexts. The proposed stabilization conditions are based on inequalities which are affine in both the Lyapunov function coefficients and the controller gains. Input saturations are in...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 58; no. 7; pp. 1758 - 1770
Main Authors Valmorbida, G., Tarbouriech, S., Garcia, G.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2013
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects
Automatic
Engineering Sciences
Input-saturation
Linear matrix inequalities
Lyapunov method
Lyapunov methods
Numerical stability
polynomial systems
Polynomials
Stability analysis
sum-of-squares
Symmetric matrices
Vectors
Online AccessGet full text

Cover

More Information
Summary:This paper presents results for the design of polynomial control laws for polynomial systems in global and regional contexts. The proposed stabilization conditions are based on inequalities which are affine in both the Lyapunov function coefficients and the controller gains. Input saturations are incorporated to the stability analysis and the design of polynomial controllers using a generalization of a sector condition. The polynomial constraints of the stability/stabilization conditions are relaxed to be sum-of-squares and formulated as semi-definite programs.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2013.2248256