Reduction of SISO H-infinity output feedback control problem

研究成果: ジャーナルへの寄稿学術誌査読


We consider the linear matrix inequality (LMI) problem of H output feedback control problem for a generalized plant whose control input, measured output, disturbance input, and controlled output are scalar. We provide an explicit form of the optimal value. This form is the unification of some results in the literature of H performance limitation analysis. To obtain the form of the optimal value, we focus on the non-uniqueness of perpendicular matrices, which appear in the LMI problem. We use the null vectors of invariant zeros associated with the dynamical system for the expression of the perpendicular matrices. This expression enables us to reduce and simplify the LMI problem. Our approach uses some well-known fundamental tools, e.g., the Schur complement, Lyapunov equation, Sylvester equation, and matrix completion. We use these techniques for the simplification of the LMI problem. Also, we investigate the structure of dual feasible solutions and reduce the size of the dual. This reduction is called a facial reduction in the literature of convex optimization.

ジャーナルLinear Algebra and Its Applications
出版ステータス出版済み - 2月 1 2021

!!!All Science Journal Classification (ASJC) codes

  • 代数と数論
  • 数値解析
  • 幾何学とトポロジー
  • 離散数学と組合せ数学


「Reduction of SISO H-infinity output feedback control problem」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。