Pre-classical tools for post-modern control
Pre-classical tools for post-modern control
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用于后现代控制的前古典工具
DOI：
10.1109/cdc.2003.1272406
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
K. Zhou
中科院分区：
文献类型：
--
作者：
L. Qiu;K. Zhou
在本文中，我们提出了一个系统的最优和鲁棒控制理论（SISO系统）的语言适合本科教学。使用的工具主要是简单的多项式算术和初等线性代数。该理论几乎涵盖了后现代控制理论所关注的所有主题：计算信号或系统的RMS值（2-范数），计算谐振峰值（/spl infin/-norm），Hankel奇异值和奇异向量的计算，最优暂态稳定（LQG控制）、关于Vinnicombe度量的最优鲁棒镇定（/spl Hscr//sub /spl infin// control）和系统逼近。提出了一种基于极点配置技术的系统综合理论，其等价于求解一个多项式丢番图方程。
In this paper, we present a systematic optimal and robust control theory (for SISO systems) in a language suitable for undergraduate teaching. The tools used are mostly simple polynomial arithmetics and elementary linear algebra. The theory covers almost all topics that post-modern control concerns: the computation of the RMS value (2-norm) of a signal or a system, the computation of the resonance peak (/spl infin/-norm) of a system, and the computation of the Hankel singular values and vectors, optimal transient stabilization (LQG control), optimal robust stabilization with respect to the Vinnicombe metric (/spl Hscr//sub /spl infin// control), and system approximation. A systematic synthesis theory is presented based on the pole placement technique, which is equivalent to solving a polynomial diophantine equation.