Introduction to Discrete-Time H∞-Optimal Control
The problem studied in this chapter is the minimization of the H∞(D)-norm from ω to ζ in the standard setup: Recall (Theorem 4.4.2) that the H∞(D)-norm equals the least upper bound of ‖ζ‖2 over all ω with ‖ω‖2 ≤ 1; thus, the H∞(D)-norm measures the system gain in the sense of energy. It is a useful alternative to the H2(D)-norm when the exogenous inputs are not fixed.
KeywordsUnit Circle Exogenous Input Standard Setup System Gain Bilinear Transformation
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