A four-block problem for H∞ design: Properties and applications,

Abstract In this paper, we introduce and study a certain 4-block H ∞ optimal control problem from the point of view of its usefulness as a control system design tool. The problem is a natural generalization of several H ∞ optimal control problems e.g. mixed sensitivity and gap/normalized-coprime-factor optimization. We show that the problem is well-posed in the sense that the optimal performance depends continuously on the plant, where perturbations are measured in the gap metric. Two illustrative examples are given including a design for a flexible structure.

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