Robust control with respect to coprime factors of infinite-dimensional positive real systems

Curtain R.F.; van Keulen B.

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Robust control with respect to coprime factors of infinite-dimensional positive real systems

机译：关于无限维正实系统的互质因子的鲁棒控制

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摘要

It is shown that infinite-dimensional positive real systems can be robustly stabilized with respect to coprime factor perturbations with a robustness margin of at least 1/ square root 2. This result is applied to dissipative colocated systems which arise in PDE models of flexible structures.

机译：结果表明，相对于互质数因子摄动，无穷维正实系统可以鲁棒地稳定下来，其鲁棒性裕度至少为1 /平方根2。该结果适用于在柔性结构的PDE模型中产生的耗散共置系统。

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《IEEE Transactions on Automatic Control》 |1992年第6期|P.868-871|共4页
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Curtain R.F.; van Keulen B.;
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正文语种 eng
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专利

1. Robustly stabilizing controllers with respect to left-coprime factor perturbations for infinite-dimensional linear systems [J] . Curtain RR Systems and Control Letters . 2006,第7期

机译：无限维线性系统关于左辅数因子摄动的鲁棒稳定控制器
2. Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems [J] . Ruth F. Curtain, Mark R. Opmeer Mathematics of Control, Signals, and Systems (MCSS) . 2011,第sa1a3期

机译：离散时间无限维系统的互质分解和鲁棒镇定
3. Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems [J] . Ruth F. Curtain, Mark R. Opmeer Mathematics of Control, Signals, and Systems: MCSS . 2011,第1a3期

机译：离散时间无限维系统的互质分解和鲁棒镇定
4. Robust control with respect to coprime factors of infinite-dimensional positive real systems [C] . Curtain, R.F., van Keulen, . 1990

机译：关于无限维正实系统的互质因子的鲁棒控制
5. Positivity-based robust control of flexible systems. [D] . Lee, Francis Cho-Kuen. 1994

机译：基于正性的柔性系统鲁棒控制。
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7. Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems [O] . Curtain Ruth F, Opmeer Mark R 2011

机译：离散时间无限维系统的互质分解和鲁棒镇定
8. Robust Stabilization of Infinite-Dimensional Systems with Respect to CoprimeFactor Perturbations [R] . Curtain, R. F., Pritchard, A. J. 1992

机译：关于CoprimeFactor扰动的无限维系统的鲁棒镇定

Robust control with respect to coprime factors of infinite-dimensional positive real systems

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