Transfer functions of discrete-time nonlinear control systems; 322-335
Transfer functions of discrete-time nonlinear control systems; 322-335
复制标题
离散时间非线性控制系统的传递函数；
DOI：
10.3176/phys.math.2007.4.04
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Ü. Kotta
中科院分区：
文献类型：
--
作者：
M. Halás;Ü. Kotta
定义了离散时间非线性控制系统传递函数的概念。该定义基于非交换扭曲多项式环，可以通过 Ore 条件扩展到其商环（分数域）。研究了与系统的可达性和可观测性相关的传递函数的一些性质，并给出了不同复合系统（串联、并联和反馈连接）的传递函数。原则上，所得到的理论与线性情况下的理论类似，只是多项式描述现在涉及输入和输出的微分，并且所得到的多项式环是不可交换的。
The notion of the transfer function of the discrete-time nonlinear control system is defined. The definition is based on a non-commutative twisted polynomial ring, which can be by the Ore condition extended into its quotient ring (field of fractions). Some properties of the transfer function, related to accessibility and observability of the system, are studied and the transfer functions of different composite systems (series, parallel, and feedback connections) are given. The resulting theory is, in principle, similar to that in the linear case, except that the polynomial description relates now the differentials of inputs and outputs, and the resulting polynomial ring is non-commutative.