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...

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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
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Abstract 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.
AbstractList 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.
Author Garcia, G.
Valmorbida, G.
Tarbouriech, S.
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Snippet This paper presents results for the design of polynomial control laws for polynomial systems in global and regional contexts. The proposed stabilization...
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SubjectTerms 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
Title Design of Polynomial Control Laws for Polynomial Systems Subject to Actuator Saturation
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