On approximately optimal H∞ controllers for distributed systems
Tannenbaum, Allen R.
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The structure of all approximately optimal H∞ controllers for stable distributed plants with rational weights is elucidated. The finite- and infinite-dimensional parts of these H ∞ controllers are identified. It is shown that one can obtain a finite-dimensional approximately optimal controller by appropriately approximating the infinite-dimensional part of the optimal controller. Also, it is possible to find certain bounds on the deviation from optimal performance using this procedure.