1. H synthesis∞

1.1 The H norm∞

Any linear, invariant system can be modeled by a transfer function or transmittance H (p ). If the system has q inputs and r outputs, H (p ) is an r × q matrix. In the case where the system is stable, we define its norm H _∞ by : $\begin{matrix} {‖ H (p) ‖}_{\infty} : = sup_{ω \in R} \sqrt{\bar{λ} (H (j ω) H {(- j ω)}^{T})} \end{matrix}$

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H synthesis∞

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References

(1) - BALAS (G.J.), DOYLE (J.C.), GLOVER (K.), PACKARD (A.), SMITH (R.) - The µ-analysis and synthesis toolbox, - Math Works Inc. (1993).
(2) - DOYLE (J.C.) - Analysis of Control Systems with Structured Uncertainty. IEE Proc. Part D, - vol. 129, pp. 242‐250...

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