Abstract
This paper addresses the generalized mixed sensitivity H <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sup> design problem for linear time-invariant systems. The state space approach is used to investigate the internal structure of this design problem which inherits many pole-zero cancellations. The Toeplitz plus Hankel operator, essential to the computation of the achievable performance, is embedded in this approach. Not only the McMillan degree but also the structure of the H <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sup> controller can be visualized. Mathematical software can be implemented efficiently.
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