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为了得到非线性状态参数延时系统的离散模型,提出了一种非线性状态参数延时系统的离散方法。该方法基于泰勒级数和Scaling and Squaring技术,可以为非线性状态参数延时系统提供准确的离散模型。所得到的模型具有有限的维数,因此该模型可以用来设计相应的非线性控制器。当采样周期增大的时候,为了得到足够准确的离散模型,必须增加泰勒级数的阶数。但这样会大大增加计算的负担。通过利用Scaling and Squaring技术该离散方法可以解决大采样周期的问题。最后设计了一个非线性状态参数延时系统的仿真去验证该方法的有效性。
In order to obtain the discrete model of nonlinear state parameter delay system, a discrete time method of nonlinear state parameter delay system is proposed. Based on Taylor series and Scaling and Squaring technology, this method can provide an accurate discrete model for nonlinear state-parameter delay systems. The resulting model has a finite number of dimensions so the model can be used to design the corresponding nonlinear controller. As the sampling period increases, the order of the Taylor series must be increased in order to get a sufficiently accurate discrete model. But this will greatly increase the computational burden. By using Scaling and Squaring technology this discretization method can solve the problem of large sampling period. Finally, the simulation of a nonlinear state parameter delay system is designed to verify the effectiveness of this method.