SOS-based H∞ control of 2-D polynomial FMLSS model

Author

Li, Xiaofeng ; Wang, Weiqun ; Li, Lizhen ; Zou, Yun

fYear

2011

fDate

5-7 Sept. 2011

Firstpage

1

Lastpage

4

Abstract

1-D polynomial systems become more and more popular in respect that the systems are generalization of conventional 1-D linear systems and can represent nonlinear control systems effectively. Based on the same consideration, conventional 2-D Fornasini Marchesini local state space (FMLSS) models are extended to 2-D polynomial FMLSS model in this paper, with the elements of the system matrices are polynomial. The problems of stability analysis and H_∞ control for the 2-D polynomial FMLSS model are considered: a sufficient condition for stability of 2-D polynomial FMLSS model is proposed and a polynomial H_∞ controller is obtained in terms of sum of squares (SOS). An example is provided to show the effectiveness of the approach.

Keywords

H^∞ control; linear systems; nonlinear control systems; polynomials; state-space methods; 1D linear systems; 1D polynomial systems; 2D Fornasini Marchesini local state space models; 2D polynomial FMLSS model; SOS based H_∞ control; nonlinear control systems; sum of squares; Boundary conditions; Control systems; Mathematical model; Nonlinear systems; Polynomials; Stability analysis; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Multidimensional (nD) Systems (nDs), 2011 7th International Workshop on

Conference_Location

Poitiers

Print_ISBN

978-1-61284-815-0

Type

conf

DOI

10.1109/nDS.2011.6076839

Filename

6076839