${\bf H}_\infty $ Optimal Sensitivity for a Class of Infinite-Dimensional Systems
Hong Wen Yang · SIAM Journal on Control and Optimization · 1995
The computation of the ${\bf H}_\infty $ optimal weighted pure and mixed sensitivities for a class of infinite-dimensional systems is studied by characterizing certain wandering subspaces of some related Kre[Formula: see text]n spaces. The new characterizations can be used to obtain explicit bases for those subspaces. Explicit formulas for the optimal sensitivity for some infinite-dimensional systems can be obtained from these bases. The new characterizations can also be used to obtain fast algorithms for computing the ${\bf H}_\infty $ optimal performance for pure and mixed sensitivity problems. The results are applied to obtain an explicit optimal sensitivity formula for a class of infinite-dimensional systems that generalizes a known result.