论文标题

混合$ l_1/h_ \ $ l_ \ infty $ - 稳定

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

论文作者

Apkarian, Pierre, Noll, Dominikus

论文摘要

我们考虑非线性受控系统的稳定和性能优化,在非线性控制系统上徒劳地满足扇区约束。这会导致封闭环路峰峰系统标准的优化,但要受到$ H_ \ infty $ - 绩效约束。通过这种新型方法成功调整的非线性受控系统在局部稳定且全球bibo稳定。

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.

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