Relaxing realizability conditions for discrete-time nonlinear systems
Relaxing realizability conditions for discrete-time nonlinear systems
复制标题
放宽离散时间非线性系统的可实现性条件
DOI：
10.1016/j.automatica.2015.05.007
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
M. Tõnso
中科院分区：
文献类型：
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作者：
Ü. Kotta;K. Schlacher;M. Tõnso
本文涉及两个相关主题。首先，一组不可实现的输入-输出方程可以通过添加后补偿器在经典状态空间形式中实现，而这在连续时间情况下是不可能的。给出了这种最小阶后补偿器的构造。其次，提出了离散时间系统的一般子类，其可观测子空间是不可积的。该结构是在不可实现系统的基础上，通过增加后补偿器来实现，然后与原系统的输出相结合。
This paper addresses two related topics. First, a nonrealizable set of input–output equations can be made realizable in the classical state space form by adding a postcompensator whereas this is impossible in the continuous-time case. Construction of such postcompensator of minimal order is presented. Second, a general subclass of discrete-time systems is suggested, for which the observable subspace is non-integrable. The construction is based on the nonrealizable system, which is realized by adding a postcompensator, and then combined with the output of the original system.