基于Wiener模型的传感器动态非线性辨识研究

针对实际测量中传感器存在较大非线性的缺点,提出利用改进型Wiener模型描述传感器动态非线性模型;将Wiener模型的动态线性环节和静态非线性环节分别利用Laguerre函数和最小二乘支持向量机进行辨识,最终实现传感器模型的建立;通过仿真实验验证比较不同方法的辨识误差与速度,最终结果表明该方法在非线性动态传感器模型辨识方面具有明显的速度和精度优势。     

基于最小二乘支持向量机的T-S模型在线辨识

提出一种基于时间窗最小二乘支持向量机的T-S模型在线辨识算法，包括结构辨识和参数辨识．该算法以时间窗内数据的势能作为结构辨识依据，同时采用最小二乘支持向量机辨识系统参数：具有辨识速度快、精度高的特点．仿真结果证明了算法的有效性．     

支持向量机的多层动态自适应参数优化

首先提出了基于多层动态自适应搜索技术的最小二乘支持向量机参数优化方法，然后采用最小二乘支持向量机对典型非线性控制系统的辨识进行了研究．辨识结果表明，最小二乘支持向量机可以用于非线性控制系统辨识，多层动态自适应搜索方法确定了最优支持向量机参数，从而获得精确的非线性控制系统辨识结果．     

基于改进PSO优化LSSVM的传感器补偿研究

针对最小二乘支持向量机在对传感器进行补偿时,正则化参数和核函数参数对补偿精度影响较大的问题,提出一种利用改进的粒子群优化算法优化最小二乘支持向量机模型参数的传感器补偿方法。该方法利用改进的粒子群优化算法优化最小二乘支持向量机模型的正则化参数和核函数参数,避免了人工选择参数的盲目性,提高了最小二乘支持向量机模型的预测精度。仿真实验表明,在传感器的补偿时,该方法比最小二乘支持向量机模型的补偿精度更高。     

T-S模型的遗传算法和支持向量机辨识

基于非线性系统的输入输出数据,辩识对象的T-S模型.提出基于遗传算法和最小二乘支持向量机的辨识方法,利用遗传算法聚类进行结构辨识,每个类代表一条规则,规则数等于类数量,类中心作为该规则的隶属度函数中心类数;同时考虑模型辨识精度,实现全局优化;参数辨识采用基于结构风险最小化的最小二乘支持向量机方法,综合考虑模型复杂度和辨识误差.仿真结果证明了算法的有效性,辨识精度高,泛化能力强.     

混合核函数稀疏LS-SVM软测量建模与应用

针对最小二乘支持向量机存在的稀疏性欠缺和单核函数局限性问题,本文提出一种基于混合核函数稀疏最小二乘支持向量机的软测量建模方法.该方法使用多项式核函数和RBF核函数线性加权构成混合核函数,兼顾最小二乘支持向量机的全局拟合能力与局部拟合能力,以矢量基学习作为稀疏解算法,改善最小二乘支持向量机的稀疏性,在精简模型结构的同时,避免冗余信息中的噪声过多的拟合到模型参数中,进而采用粒子群算法优化模型部分参数.将此方法分别应用于Mackey- Glasss混沌模型的时间序列预测和乙烯精馏塔塔釜乙烯浓度预测,应用结果表明该方法较最小二乘支持向量机、稀疏最小二乘支持向量机以及混合核最小二乘支持向量机具有更好的泛化效果和预报精度,兆示出其良好的应用潜力.     

基于支持向量机的非线性离散动力学系统控制

提出了一种用支持向量机辨识系统状态空间模型的非线性离散动力学系统控制新方法. 在本方法中, 采用最小二乘支持向量机在每一个工作点辨识非线性系统的局部最优线性化模型. 针对该模型, 采用常规的线性控制方法在每个工作点设计局部线性控制器, 并在整个控制任务的每个工作点重复此设计过程.用该方法对两个典型的非线性离散系统采用极点配置技术进行了仿真验证, 结果显示系统对参考输入具有满意的跟踪性能, 证明该方法是有效和可行的.     

基于LS-SVM的船舶航向模型预测控制

针对船舶动态性能具有较强的非线性、大惯性及时变性的特点,采用具有RBF核函数的最小二乘支持向量机(LS-SVM),利用其可以任意逼近非线性模型的良好特性实现对船舶模型有效辨识,得到船舶航向控制系统的非线性逼近模型,并将其与模型预测控制方法相结合,将最小二乘支持向量机辨识得到的系统模型作为预测模型,并将系统模型进行线性化并用线性预测控制方法求得解析的控制律,实现对船舶航向的预测控制,达到良好航向保持目的。仿真结果表明,最小二乘支持向量机降低了计算复杂度,且有较快计算速度,在小样本情况下具有良好的泛化能力;基于最小二乘支持向量机的船舶航向预测控制系统对外界干扰及模型参数摄动均具有较好的适应能力以及良好的控制性能。     

用SVM和LS-SVM分析变压器故障诊断

介绍并比较了支持向量机分类器和最小二乘支持向量机分类器的算法,提出了基于支持向量机的二叉树多分类变压器故障诊断模型.将标准支持向量机(C-SVM)分类器和最小二乘支持向量机(LS-SVM)分类器分别用于变压器故障诊断,通过网格搜索和交叉验证法取得支持向量机的参数,准确率较高.试验结果表明,支持向量机和最小二乘支持向量机在变压器故障诊断中具有很大的应用潜力.     

基于改进的PCA—LS—SVM的软测量技术及应用

针对工业过程中某些重要过程变量难以实现实时在线检测和高维数据处理的问题，提出了将主元分析与改进的最小二乘支持向量机相结合的软测量建模方法，建立了催化裂化主分馏塔柴油凝固点的软测量模型。最小二乘支持向量机与标准支持向量机相比，失去了“稀疏性”，最小二乘支持向量机的稀疏化方法解决了这一难题；主元分析方法的引入，有效地提高了最小二乘支持向量机软测量模型的精度和泛化能力。应用结果表明，该改进的PCA—LS-SVM方法具有学习速度快、跟踪性能好以及泛化能力强等优点。     

Identification of MIMO Hammerstein models using least squares support vector machines

This paper studies a method for the identification of Hammerstein models based on least squares support vector machines (LS-SVMs). The technique allows for the determination of the memoryless static nonlinearity as well as the estimation of the model parameters of the dynamic ARX part. This is done by applying the equivalent of Bai's overparameterization method for identification of Hammerstein systems in an LS-SVM context. The SISO as well as the MIMO identification cases are elaborated. The technique can lead to significant improvements with respect to classical overparameterization methods as illustrated in a number of examples. Another important advantage is that no stringent assumptions on the nature of the nonlinearity need to be imposed except for a certain degree of smoothness.     

Internal model control based on a novel least square support vector machines for MIMO nonlinear discrete systems

To improve the robustness of the traditional inverse system method, the internal model control based on a novel least square support vector machines (LS-SVM) is proposed. The novel LS-SVM considers general errors that include noises of input variables and output variables as empirical errors. The data of original MIMO discrete system is exploited to approximate its inverse model by the novel LS-SVM. By cascading the inverse model and the original system to constitute a decoupling pseudo-linear system, the internal model control strategy is carried out to the pseudo-linear system to realize the effective control. Simulation validates that the novel LS-SVM used in the inverse system identification is effective and shows that the internal model control of nonlinear discrete systems has better robustness of anti-interference and parameters varying than that of the open-loop system only based on inverse control.     

Identification of wiener model with discontinuous nonlinearities using differential evolution

This paper deals with the identification of Wiener models with discontinuous nonlinearities. The identification of the Wiener model is formulated as an optimization problem. Differential evolution algorithm, a powerful and robust evolutionary algorithm, is used to search the optimal parameter of the Wiener model such that the error between the output of true model and that of the identified model is minimized. The proposed method can identify the parameters of linear dynamic subsystems and static nonlinear function of the Wiener model simultaneously, and overcome the difficulty of unavailability of the intermediated signal. Two application examples verify that the proposed method can accurately estimate the parameters of the Wiener model even in a low SNR environment.     

Subspace identification for fractional order Hammerstein systems based on instrumental variables

This paper focuses on time-domain identification issues of multi-input multi-output (MIMO) fractional order Hammerstein systems which are the extension of traditional Hammerstein type models by allowing linear part to be fractional order systems. The principal component analysis (PCA) method in subspace family is extended to identify coefficient matrixes of fractional order systems. Singular value decomposition (SVD) is utilized to estimate the unknown parameters of nonlinear part of system directly. A proper instrumental variable is chosen to eliminate the bias of identification results. Numerical simulation validates the proposed method.     

A study on speaker identification based on weighted LS-SVM

As one of a practical method, least squares support vector machine (LS-SVM) is usable for nonlinear separable problem as speaker identification. However, single LS-SVM can only do such classifying as binary classification, so it always needs multiple LS-SVMs and corresponding algorithms for classifying multiple speakers in a speaker identification database. By comparing pairwise LS-SVM with one-against-all LS-SVM, it is obvious that the pairwise LS-SVM has the advantage of facilitative expanding for different cases, while the one-against-all LS-SVM can not bring. However conventional pairwise LS-SVM needs too many judgment times to do multi-classing. In order to improve the pairwise LS-SVM and make it applicable to multi-speaker identification system, we propose a new notion of classification weight for pairwise LS-SVM and the corresponding algorithm, named as pairwise LS-SVM based on classification weight, i.e., the m-ωLS-SVM method, which can be used in multi-speaker identification system. Experiment results show that, comparing with conventional pairwise LS-SVM, the identification speed of the system with m-ωLS-SVM method is improved while keeping correct rate of identification, or vice versa, with only a little increase of training time.     

Correlation analysis method based SISO neuro-fuzzy Wiener model

A novel identification algorithm for neuro-fuzzy based single-input-single-output (SISO) Wiener model with colored noises is presented in this paper. The separable signal is adopted to identify the Wiener model, leading to the identification problem of the linear part separated from nonlinear counterpart. Then, the correlation analysis method can be employed for identification of linear part. Moreover, in the presence of random signal, the least square method based parameters estimation algorithm of static nonlinear part are proposed to avoid the impact of colored noise. As a result, proposed method can circumvent the problem of initialization and convergence of the model parameters encountered by the existing iterative algorithms used for identification of Wiener model. Examples are used to verify the effectiveness of the proposed method.     

Structured Set Membership identification of nonlinear systems with application to vehicles with controlled suspension

This paper considers an iterative algorithm for the identification of structured nonlinear systems. The systems considered consist of the interconnection of a MIMO linear systems and a MIMO nonlinear system. The considered interconnection structure can represent as particular cases Hammerstein, Wiener or Lur’e systems. A key feature of the proposed method is that the nonlinear subsystem may be dynamic and is not assumed to have a given parametric form. In this way the complexity/accuracy problems posed by the proper choice of the suitable parametrization of the nonlinear subsystem are circumvented. Moreover, the simulation error of the overall model is shown to be a nonincreasing function of the number of algorithm iteration. The effectiveness of the algorithm is tested on the problem of identifying a model for vertical dynamics of vehicles with controlled suspensions from both simulated and experimental data.     

Correlation analysis based MIMO neuro-fuzzy Hammerstein model with noises

A novel identification algorithm for neuro-fuzzy based MIMO Hammerstein system with noises by using the correlation analysis method is presented in this paper. A special test signal that contains independent separable signals and uniformly random multi-step signal is adopted to identify the MIMO Hammerstein system, resulting in the identification problem of the linear model separated from that of nonlinear part. As a result, it can circumvent the problem of initialization and convergence of the model parameters encountered by the existing iterative algorithms used for identification of MIMO Hammerstein model. Moreover, least square method based parameter identification algorithms of dynamic linear part and static nonlinear part are proposed to avoid the influence of noise. Examples are used to illustrate the effectiveness of the proposed method.     

Development of Box–Jenkins type time series models by combining conventional and orthonormal basis filter approaches

A unified scheme for developing Box–Jenkins (BJ) type models from input–output plant data by combining orthonormal basis filter (OBF) model and conventional time series models, and the procedure for the corresponding multi-step-ahead prediction are presented. The models have a deterministic part that has an OBF structure and an explicit stochastic part which has either an AR or an ARMA structure. The proposed models combine all the advantages of an OBF model over conventional linear models together with an explicit noise model. The parameters of the OBF–AR model are easily estimated by linear least square method. The OBF–ARMA model structure leads to a pseudo-linear regression where the parameters can be easily estimated using either a two-step linear least square method or an extended least square method. Models for MIMO systems are easily developed using multiple MISO models. The advantages of the proposed models over BJ models are: parameters can be easily and accurately determined without involving nonlinear optimization; a prior knowledge of time delays is not required; and the identification and prediction schemes can be easily extended to MIMO systems. The proposed methods are illustrated with two SISO simulation case studies and one MIMO, real plant pilot-scale distillation column.     

Consistent identification of Wiener systems: A machine learning viewpoint

Wiener system identification has been recently performed by adopting a Bayesian semiparametric approach. In this framework, the linear system entering the first block is given a finite-dimensional parametrization, while nonparametric Gaussian regression is used to estimate the static nonlinearity in the second block. In this paper, we study the asymptotic behavior of this estimator when the number of noisy output samples tends to infinity without assuming the correctness of the Bayesian prior models. For this purpose, we interpret Wiener identification under a machine learning perspective. This allows us to extend recent results on function estimation in reproducing kernel Hilbert spaces to derive a condition guaranteeing the statistical consistency of the identification procedure. We also discuss how the violation of such a condition can lead to useless estimates of the Wiener structure.