一类非线性多变量系统的解耦线性化
Decoupling and Linearization for a Class of Nonilinear Multivariable Systems
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摘要: 本文讨论了非线性多变量系统的解耦和完全线性化问题.利用微分几何理论中分布不变 性的概念,提出并证明了当系统的相对阶次之和小于系统维数时,非线性解耦系统实现完全线 性化并保持其解耦性不变的条件,还给出了这类系统完全线性化的具体求解方法.Abstract: The problem of the input/output decoupling and complete linearization for nonlinear multivariable systems is discussed. By means of the concept of distribution invariance in the differential geometric theory, this paper presents and proves the condition under which the nonlinear decoupled system with can be completely linearized and kept decoupling. The method to linearize this class of systems is given.
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Key words:
- Nonlinear systems /
- decoupling /
- complete linearization
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