Nyquist Stability Criterion of Sampled-Data Systems with the 2-Regularized Determinant and Its Applications to Robust Stability Analysis
Nyquist Stability Criterion of Sampled-Data Systems with the 2-Regularized Determinant and Its Applications to Robust Stability Analysis
复制标题
具有2-正则行列式的采样数据系统的奈奎斯特稳定性判据及其在鲁棒稳定性分析中的应用
DOI：
10.1109/cdc.2001.980119
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Yuki Tsuruguchi
中科院分区：
文献类型：
--
作者：
T. Hagiwara;Yuki Tsuruguchi
利用Hilbert-Schmidt算子的2-正则行列式，得到了采样系统的Nyquist稳定性判据，该判据覆盖了采样系统的一般情形，给出了闭环采样系统内稳定的充要条件.该准则适用于推导鲁棒稳定性定理，如小增益和无源性定理的采样数据系统的内部稳定性，通过推导的Nyquist稳定性准则的有用性证明。
Using the 2-regularized determinant associated with Hilbert-Schmidt operators, this paper derives a Nyquist stability criterion of sampled-data systems that covers the general setting of sampled-data systems, which gives a necessary and sufficient condition for internal stability of closed-loop sampled-data systems. This criterion is applied to the derivation of robust stability theorems such as the small-gain and passivity theorems with respect to the internal stability of sampled-data systems, by which the usefulness of the derived Nyquist stability criterion is demonstrated.