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Various optimal control strategies exist in the literature. Prominent approaches are Robust Control and Linear Quadratic Regulators, the first one being related to the H∞ norm of a system, the second one to the H2 norm. In 1994, F. De Bruyne et al [1] showed that assuming knowledge of the poles of a transfer function one can derive upper bounds on the H∞ norm as a constant multiple of its H2 norm...
It is well-known that the H2-norm and H∞-norm of a transfer function can differ arbitrarily since both norms reflect fundamentally different properties. However, if the pole structure of the transfer function is known it is possible to bound the H∞-norm from above by a constant multiple of the H2-norm. It is desirable to compute this constant as tightly as possible. In this article we derive a tight...
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