Input-output modeling of nonlinear systems with time-varying linearmodels

Chowdhury F.N.

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Input-output modeling of nonlinear systems with time-varying linearmodels

机译：具有时变线性模型的非线性系统的输入输出建模

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摘要

Time varying ARMA (autoregressive moving average) and ARMAX (autoregressive moving average with exogenous inputs) models are proposed for input-output modeling of nonlinear deterministic and stochastic systems. The coefficients of these models are estimated by a random walk Kalman filter (RWKF). This method requires no prior assumption on the nature of the model coefficients, and is suitable for real-time implementation since no off-line training is needed. A simulation example illustrates the method. Goodness of performance is judged by the quality of the residuals, histograms, autocorrelation functions and the Kolmogorov-Smirnoff test

机译：提出了时变ARMA（自回归移动平均值）和ARMAX（具有外生输入的自回归移动平均值）模型，用于非线性确定性和随机系统的输入-输出建模。这些模型的系数由随机游走卡尔曼滤波器（RWKF）估计。该方法无需事先假设模型系数的性质，并且由于不需要离线训练，因此适合实时实施。仿真示例说明了该方法。性能的优劣由残差，直方图，自相关函数和Kolmogorov-Smirnoff检验的质量来判断

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《IEEE Transactions on Automatic Control》 |2000年第7期|p.1355-1358|共4页
作者
Chowdhury F.N.;
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正文语种 eng
中图分类自动化系统;
关键词
Kalman filters; autoregressive moving average processes; covariance matrices; discrete time systems; nonlinear control systems; state-space methods; stochastic systems; transfer functions; uncertain systems; ARMAX models; Kolmogorov-Smirnoff test; autocorrelation f;

机译：卡尔曼滤波器;自回归移动平均过程;协方差矩阵;离散时间系统;非线性控制系统;状态空间方法;随机系统;传递函数;不确定系统;ARMAX模型;Kolmogorov-Smirnoff检验;自相关f;

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专利

1. Input-output modeling of nonlinear systems with time-varying linear models [J] . Chowdhury F.N. IEEE Transactions on Automatic Control . 2000,第7期

机译：具有时变线性模型的非线性系统的输入输出建模
2. FIXED-ARCHITECTURE CONTROLLER SYNTHESIS FOR SYSTEMS WITH INPUT-OUTPUT TIME-VARYING NONLINEARITIES [J] . Haddad WM., Kapila V. International Journal of Robust and Nonlinear Control . 1997,第7期

机译：输入/输出时变非线性系统的固定体系结构控制器综合
3. Input-output Decoupling and Linearization of Nonlinear Multi-input Multi-output Time-varying Delay Systems [J] . F. Nicolau, I. Haidar, J.P. Barbot, IFAC PapersOnLine . 2020,第2期

机译：非线性多输入多输出时变延迟系统的输入 - 输出去耦和线性化
4. Fixed-architecture controller synthesis for systems with input-output time-varying nonlinearities [C] . Haddad, W.M., Kapila, . 1995

机译：输入-输出时变非线性系统的固定体系结构控制器综合
5. Nonlinear Time-varying Dynamic Modeling of Vehicle Driveline Systems with Emphasis on Hypoid Gear Excitation and Response. [D] . Shi, Zhenghong. 2017

机译：着重于准双曲面齿轮激励和响应的车辆传动系统非线性时变动态建模。
6. On the Approximated Reachability of a Class of Time-Varying Nonlinear Dynamic Systems Based on Their Linearized Behavior about the Equilibria: Applications to Epidemic Models [O] . Manuel De la Sen 2019

机译：基于对均衡的线性化行为的一类时变非线动力系统的近似可达性：应用于流行模型的应用
7. Input-output linearization of SISO nonlinear time-varying delay systems [O] . Ihab Haidar, Florentina Nicolau, Jean-Pierre Barbot, 2017

机译：sIsO非线性时变时滞系统的输入输出线性化
8. Input-Output Parametric Models for Nonlinear Systems. Part 2: Stochastic Nonlinear Systems [R] . Leontaritis, I. J., Billings, S. A. 1984

机译：非线性系统的输入输出参数模型。第2部分：随机非线性系统

Input-output modeling of nonlinear systems with time-varying linearmodels

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