$H_2$ Control of Continuous and Discrete Time Descriptor Systems

연속/이산 특이치 시스템의 $H_2$ 제어

  • 이종하 (경북대학교 전자전기공학부 경북대학교 센서기술연구소) ;
  • 김종해 (경북대학교 전자전기공학부 경북대학교 센서기술연구소) ;
  • 박홍배 (경북대학교 전자전기공학부 경북대학교 센서기술연구소)
  • Published : 2001.06.01

Abstract

This paper presents matrix inequality conditions for H$_2$optimal control of linear time-invariant descriptor systems in continuous and discrete time cases, respectively. First, the necessary and sufficient condition for H$_2$control and H$_2$controller design method are expressed in terms of LMls(linear matrix inequalities) with no equality constraints in continuous time case. Next, the sufficient condition for H$_2$control and H$_2$controller design method are proposed by matrix inequality approach in discrete time case. A numerical example is given in each case.

Keywords