Order reduction and determination of dominant state variables of nonlinear systems
Order reduction and determination of dominant state variables of nonlinear systems
复制标题
非线性系统的降阶和主导状态变量的确定
DOI：
10.1080/13873959508837009
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
B. Lohmann
中科院分区：
文献类型：
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作者：
B. Lohmann
该方法通过减少状态方程的数目，简化了非线性系统模型。其主要思想是从一种特殊的状态空间表示出发，将所有的非线性项都带入到降阶系统中，恢复状态变量、输入变量和非线性函数之间的所有耦合。稳态性能可以通过详细讨论的附加措施来影响，并且通过技术示例来说明。引入了一种优势分析方法，帮助选择系统阶次和主导状态变量。所有的计算都是基于经过验证的算法，其中大部分是免费的迭代。
The method presented can simplify nonlinear system models by reducing the number of state equations. Starting from a special state space representation, the main idea is to take over all nonlinear terms into the reduced system and to renew all couplings of state variables, input variables and nonlinear functions. The steady state performance can be influenced by additional measures which are discussed in detail and which are illustrated by a technical example. A dominance analysis is introduced which helps choosing the system order and the dominant state variables. All computations are based on proven algorithms and most of them are free of iterations.