H2 performance via static output feedback for a class Of nonlinear systems

Author

Bedioui, Neila ; Salhi, Salah ; Ksouri, Mekki

Author_Institution

Lab. d´´Analyse et de Commade de Syst. LACS, Ecole Nat. d´´Ing. de Tunis ENIT, Tunis, Tunisia

fYear

2009

fDate

6-8 Nov. 2009

Firstpage

1

Lastpage

6

Abstract

This paper deals with the stabilization problems for a class of discrete-time nonlinear systems. The systems are composed of a linear constant part perturbated by an additive nonlinear function which satisfies a quadratic constraint. A new approach to design a H₂ static output feedback controller is developed. It consists on a sufficient condition, formulated as an LMI optimization convex problem. In fact, the approach is based on a family of LMI parameterized by a scalar, offering an additional degree of freedom. Numerical example is provided to illustrate the effectiveness of the proposed conditions.

Keywords

H^Â¿ control; convex programming; discrete time systems; feedback; linear matrix inequalities; linear systems; nonlinear control systems; quadratic programming; stability; H₂ performance; LMI optimization convex problem; additive nonlinear function; discrete-time nonlinear system; linear constant; quadratic constraint; stabilization; static output feedback; Circuits and systems; Hydrogen; Linear systems; Los Angeles Council; Nonlinear systems; Output feedback; Robust stability; Robustness; Sufficient conditions; Uncertainty; H2 performance; LMI; Lyapunov theory; nonlinear system; output feedback synthesis; robust stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Circuits and Systems (SCS), 2009 3rd International Conference on

Conference_Location

Medenine

Print_ISBN

978-1-4244-4397-0

Electronic_ISBN

978-1-4244-4398-7

Type

conf

DOI

10.1109/ICSCS.2009.5412486

Filename

5412486