期刊文献+

一种非线性非仿射输入连续系统离散方法

Discretization Method for the Nonlinear Continuous Systems with Non-affine Input
下载PDF
导出
摘要 针对非线性非仿射输入连续系统提出了一种离散方法,该方法基于泰勒级数、scaling andsquaring技术(SST)和一阶保持假设。对提出的非线性系统离散方法的数学结构进行了研究。在此基础上,利用该方法可得到非线性连续系统的离散模型。当采样周期增加时,为得到足够精确的离散模型,泰勒级数的阶数必须相应增加。但增加泰勒级数的阶数将大大增加解算的负担。通过利用SST技术推荐的离散方法可在大采样周期的情况下,在不过大增加计算负担的基础上,取得好的离散结果。针对典型非线性系统的仿真被用于验证该离散方法的有效性。 This paper proposed a discretization method for nonlinear continuous systems with non-affine inputs.It is based on Taylor series,scaling and squaring technique(SST) and first order hold(FOH) assumption.The mathematical structure of the new discretization method is analyzed.The sampled-data representation of the nonlinear continuous systems with non-affine input can be obtained by using this proposed discretization method.When the sample period is increased,the order of the Taylor series must be augmented in order to get the good discretization results.However,this can increase the computational burden greatly.By using SST,the proposed discretization method can provide good enough discretization results in the case of big sampling period.And this method does not increase the computational burden much.The computer simulation using a typical nonlinear system is done to verify the effectiveness of this method.
作者 张元良
出处 《淮海工学院学报(自然科学版)》 CAS 2011年第2期12-15,共4页 Journal of Huaihai Institute of Technology:Natural Sciences Edition
基金 江苏省高校自然科学研究项目(10KJB510001)
关键词 非线性系统 离散 泰勒级数 一阶保持 SCALING and squaring技术 nonlinear system discretization Taylor series fist order hold scaling and squaring technique
  • 引文网络
  • 相关文献

参考文献5

  • 1ISERMANN R. Digital Control Systems [M]. Berlin: Springer-Verlag, 1989.
  • 2KEIICHI S, KEIICHI N, EIJ1 A, et al. Digital copy milling autonomous milling process control with- out an NC program[J]. Robotics and Computer-Integrated Manufacturing, 2005.21 : 312-317.
  • 3PIERRE C. Advanced control strategy for a digital mass flow controller[J]. Mechatronics, 2009,19: 443- 449.
  • 4RAY H. Advanced Process Control[M-]. New York, McGraw-Hill. 1981.
  • 5ZHANG Tao, MASATOSHI N. A hybrid neuro-inverse control approach with knowledge-based nonlinear separation for industrial nonlinear system[J]. IEEE Transactions on Control Systems Technology, 2005,13 (5) :840-846.
;
使用帮助 返回顶部