Nonlinear H$\infty$ Control for Linear Systems using Nonlinear Weight

  • Kubota, K. (NTT) ;
  • Samei, M. (Dept. of Mechanical and Envi. Info. Tokyo nstitute of Technology) ;
  • Shimizu, E (Dept. of Mechanical and Envi. Info. Tokyo nstitute of Technology) ;
  • Koga, M. (Dept. of Mechanical and Envi. Info. Tokyo nstitute of Technology)
  • Published : 1996.10.01

Abstract

This study deals with the nonlinear H$_{\infty}$ control problem of linear system using nonlinear weight. Generally the solvable condition of nonlinear H$_{\infty}$ control problem is given by the Hamilton Jacobi equality or inequality, but it is very difficult to solve. In this study, some constraints of nonlinear weight reduce the solvable condition to linear Riccati equation. Some examples of the control system design using nonlinear weight are shown.n.