強正実H₂コントローラの多段階設計法

抄録

This paper addresses synthesis of strictly positive real H₂ controllers. An upper bound on the H₂ norm of the closed-loop transfer function is minimized under constraint of strict positive realness on controllers. We propose a multi-stage design procedure to construct this type of controllers. First, we parametrize both Lyapunov solutions and controllers. Second, we show that if we partially fix them alternatively, we can improve the H₂ performance iteratively while allowing for distinct Lyapunov solutions. A numerical example illustrates the applicability of the proposed method.