Asymptotic model matching for nonlinear systems
Asymptotic model matching for nonlinear systems
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DOI：
10.1109/9.310028
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
Maria-Gabriella Di Benedetto;J. Grizzle
中科院分区：
文献类型：
--
作者：
Maria-Gabriella Di Benedetto;J. Grizzle
本文研究了平方可逆非线性对象的补偿控制律设计问题，使闭环系统的响应与给定的驱动非线性模型的响应渐近匹配。建立了一组实现渐近模型匹配的必要条件。其中之一涉及每个模型匹配闭环系统所共有的子动力学稳定性性质。这些子动力学被称为“固定动力学”，本质上是有特征的。基于这些结果，给出了一组新的实现渐近模型匹配的充分条件。研究了对象的最小相位和向量相对度性质与可匹配模型之间的相互关系。>；
This paper investigates the problem of designing a compensating control law for a square invertible nonlinear plant so that the response of the closed-loop system asymptotically matches that of a prescribed, driven, nonlinear model. A set of necessary conditions for achieving asymptotic model matching is established. One of these involves the stability properties for subdynamics which are common to every model matching closed loop. These subdynamics, called the "fixed dynamics," are intrinsically characterized. Based on these results, a new set of sufficient conditions for achieving asymptotic model matching is given. The interrelation between the minimum-phase and vector relative degree properties of a plant and a matchable model are studied. >