Proceedings of the KIEE Conference (대한전기학회:학술대회논문집)

The Korean Institute of Electrical Engineers (대한전기학회)
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$H_{\infty}$ Control Problem of Singular Nonlinear Systems Via Output Feedback

출력 궤환에 의한 특이 비선형 시스템의 $H_{\infty}$ 제어 문제

  • Kim, Kyung-Kun (Department of Electrical Engineering Kyungpook National University) ;
  • Lee, Young-Seog (Department of Electrical Engineering Kyungpook National University) ;
  • Seo, Bo-Hyeok (Department of Electrical Engineering Kyungpook National University)
  • 김경근 (경남대학교 전기공학과) ;
  • 이영석 (경남대학교 전기공학과) ;
  • 서보혁 (경남대학교 전기공학과)
  • Published : 1996.07.22
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Abstract

This paper shows how the $H_{\infty}$ control problem of singular nonlinear systems via output feedback can be solved. The solution of the problem is shown to be related to the existence of solutions of a pair of Hamilton-Jacobi inequalities in n independent variables, which are associated with slate feedback and output injection design. Our approach yields to a set of sufficient conditions under an extra assumption. This conditions are in terms of a set of Hamilton-Jacobi Inequalities parameterized by adequately small parameters.

Keywords