输入非线性方程误差系统的多新息辨识方法

Multi-innovation identification methods for input nonlinear equation-error systems

针对输入非线性方程误差系统,即输入非线性受控自回归系统,研究了基于过参数化模型的多新息辨识方法和基于过参数化模型的递阶多新息辨识方法;研究了基于关键项分离原理的多新息辨识方法;使用辨识模型分解技术,研究了基于关键项分离原理的两阶段多新息辨识方法和三阶段多新息辨识方法.这些方法可以推广到其他输入非线性方程误差系统、输入非线性输出误差类系统、输出非线性方程误差类系统、输出非线性输出类系统、反馈非线性系统等.同时,给出了几个典型辨识算法的计算量、计算步骤和流程图.

For input nonlinear equation-error systems （ namely the input nonlinear controlled autoregressive （ IN-CAR） systems） ,this paper studies and presents the over-parameterization model based multi-innovation identifica-tion （ MI） methods, the over-parameterization model based hierarchical MI methods and the key term separation based MI methods, and uses the decomposition technique to present the key term separation based two-stage MI methods and the key term separation based three-stage MI methods. These methods can be extended to other input nonlinear equation-error systems,input nonlinear output-error type systems,output nonlinear equation-error type sys-tems and output nonlinear output-error systems, and feedback nonlinear systems. Finally, the computational efficiency,the computational steps and the flowcharts of several typical identification algorithms are discussed.