International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Positive Real Control for Uncertain 2-D Singular Roesser Models

  • Xu Huiling (Department of Applied Mathematics, Nanjing University of Science and Technology) ;
  • Xie Lihua (School of Electrical and Electronic Engineering, Nanyang Technological University) ;
  • Xu Shenyuan (Department of Automation, Nanjing University of Science and Technology) ;
  • Zou Yun (Department of Automation, Nanjing University of Science and Technology)
  • Published : 2005.06.01
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Abstract

This paper discusses the problem of positive real control for uncertain 2-D linear discrete time singular Roesser models (2-D SRM) with time-invariant norm-bounded parameter uncertainty. The purpose of this study is to design a state feedback controller such that the resulting closed-loop system is acceptable, jump modes free and stable, and achieves the extended strictly positive realness for all admissible uncertainties. A version of positive real lemma for the 2-D SRM is given in terms of linear matrix inequalities (LMIs). Based on the lemma, a sufficient condition for the solvability of the positive real control problem is derived in terms of bilinear matrix inequalities (BMIs) and an iterative procedure for solving the BMIs is proposed.

Keywords

References

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