Causal stabilization of forward models of discrete LTI processes under constraints on the set of elementary divisors of the characteristic matrix
Causal stabilization of forward models of discrete LTI processes under constraints on the set of elementary divisors of the characteristic matrix
复制标题
特征矩阵初等除数集约束下离散 LTI 过程正演模型的因果稳定性
DOI：
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发表时间：
2008
影响因子：
2.1
通讯作者：
E. Rosenwasser
中科院分区：
文献类型：
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作者：
B. Lampe;E. Rosenwasser
利用可实现的数字控制器研究离散线性时滞过程的镇定问题。这一过程是以正向模型的形式描述的，工程师们大多使用这种模型，但事实证明，这种模型不适合考虑因果关系。所有镇定因果控制器的集合是以参数形式构造的。此外，作者还构造了满足附加约束的所有因果镇定控制器的集合，即闭环系统特征矩阵的初等因子集具有一定的实用意义。作为例子，解决了双积分器离散正演模型的因果结构镇定问题。
The paper investigates the stabilization problem for discrete LTI processes by realizable digital controllers. The process is described in the form of forward models, which are mostly used by engineers but proved to be unsuitable for causality considerations. The set of all stabilizing causal controllers is constructed in a parametric form. Moreover, the authors construct the set of all causal stabilizing controllers which satisfy additional constraints, i.e. the set of elementary divisors of the characteristic matrix of the closed loop has a certain structure of practical relevance. As an example, the causal structural stabilization problem is solved for the discrete forward model of the double integrator.