Mixed $L_1/H_{\infty }$-synthesis for $L_{\infty }$-stability

Abstract

We consider stabilization and performance optimization of non-linear controlled systems, where the non-linearity satisfies a sector constraint asymptotically. This leads to optimization of the closed loop peak-to-peak system norm subject to $H_{\infty }$-performance constraints. Non-linear controlled systems tuned successfully by this novel approach are locally exponentially stable and globally BIBO-stable.

26 pages, 11 figures

References in corpus (1)

• Cutting plane oracles for non-smooth trust-regions