リッカチ不等式を用いた拡張H_∞制御問題の可解条件の導出

抄録

In this paper, we consider an H_∞ problem with unstable weighting functions. Such weightings are used to achieve asymptotically disturbance attenuation and/or asymptotically tracking to reference input. Such problems cannot be handled by the standardH_∞ control theory. To this problem, we present a necessary and sufficient condition for the existence of a solution by using Riccati inequalities. This condition needs no assumptions on the jω invariant zeros of G₁₂ and G₂₁.