共查询到17条相似文献,搜索用时 87 毫秒
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子空间辨识算法作为一种优良的多变量系统辨识算法,最近在国内发展很快.但是现在国内介绍的大多数子空间辨识算法在变量有误差(errors-in-variable)时和闭环辨识时辨识结果却是有偏的,这是因为大多数子空间辨识算法都假设输入变量是没有噪声及辨识算法中存在的一个投影过程.文中介绍了一种新的子空间辨识算法,这种算法利用主元分析(PCA)来获取系统矩阵,避免了其他算法中的投影过程,因此该算法在闭环辨识和变量有误差(errors-in-variable)的情况下,辨识结果也是无偏的.最后给出一个仿真例子说明这种辨识算法的辨识效果良好. 相似文献
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基于辅助变量的闭环系统子空间辨识 总被引:2,自引:0,他引:2
提出一种基于辅助变量的子空间辨识方法,适用于控制器信息未知以及参考输入已知的闭环系统参数辨识.通过将输入-输出数据块正交投影到辅助变量的行空间,直接得到扩展观测矩阵垂空间的估计.由此可从闭环系统中提取出对象模型信息,同时由SVD分解得到扩展观测矩阵与下三角Toeplitz矩阵的估计.给出了系统参数矩阵、噪声矩阵的计算方法.将所提出的子空间辨识方法应用于闭环动态的系统参数估计,其结果表明了该方法的有效性. 相似文献
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提出了基于子空间划分的模糊系统模型(SPFS),并给出一种针对SPSF的白适应模型辨识方法.应用遗传算法进行子空间划分方案的优化。降低了最大子空间的辨识误差,从而得到优化的模型辨识结果.理论分析和仿真计算证明了该模型的有效性.所提出的模型有助于缓解规则数爆炸问题. 相似文献
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针对质子交换膜燃料电池(PEMFC)系统发电过程中的分数阶特性, 本文提出了一种频域分数阶子空间辨识方法建立PEMFC的分数阶状态空间(FOSS)模型. 考虑到时域分数阶的微分形式计算复杂度较大, 将时域中的分数阶微分在频域中转化为乘积的形式. 首先, 采用随机多频正弦激励信号对时域采集的信号进行处理, 得到输入输出的频率响应数据; 其次, 利用频率响应数据构造实、虚部矩阵; 接着, 通过RQ分解、SVD分解以及最小二乘法求取系统系数矩阵A, B, C, D; 由于参数同元分数阶次α、辅助阶次q以及频域采样点数M未知, 本文提出了一种GA–PSO算法进行优化, 将PSO算法作为主线, 加入GA算法中的选择、交叉和变异操作, 以进一步提高个体的自适应调整搜索方向、增强全局寻优的能力. 仿真结果验证了算法的有效性, 频域分数阶子空间辨识方法得到的输出能够较好的跟随实测数据, 且优化后的辨识结果误差更小, 精确度更高, 能够更准确地描述PEMFC的电特性变化过程. 相似文献
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This article studies the subspace identification methods (SIMs) for Hammerstein systems with major focus on a rank constraint and the related dimension problem. We analyse the effects of the rank constraint on the three steps of a unifying framework for SIMs: the rank constraint has no effect on the first two steps, but does so on the third step. If the rank constraint is ignored, as in the existing over-parametrised method (OPM) for Hammerstein system identification, the optimality of the resulting estimate can still be established. Even so, the OPM may suffer from the dimension problem resulting in a low numerical efficiency. To resolve the dimension problem, we propose a new subspace-based method, named as the least-parametrised method (LPM), for identification of Hammerstein systems with non-coupling input nonlinearities. Simulation results are provided to demonstrate the effectiveness of the LPM, and show the necessity of considering the rank constraint to improve the numerical efficiency. 相似文献
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Yangsheng Hu Yuan Fan Yiheng Wei Yong Wang 《International journal of systems science》2016,47(1):122-134
This work focuses on the identification of fractional commensurate order systems from non-uniformly sampled data. A novel scheme is proposed to solve such problem. In this scheme, the non-uniformly sampled data are first complemented by using fractional Laguerre generating functions. Then, the multivariable output error state space method is employed to identify the relevant system parameters. Moreover, an in-depth property analysis of the proposed scheme is provided. A numerical example is investigated to illustrate the effectiveness of the proposed method. 相似文献
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Behrooz Safarinejadian Mojtaba Asad Mokhtar Sha Sadeghi 《International journal of control》2016,89(11):2277-2296
In the present paper, the identification and estimation problem of a single-input–single-output (SISO) fractional order state-space system will be addressed. A SISO state-space model is considered in which parameters and also state variables should be estimated. The canonical fractional order state-space system will be transformed into a regression equation by using a linear transformation and a shift operator that are appropriate for identification. The identification method provided in this paper is based on a recursive identification algorithm that has the capability of identifying the parameters of fractional order state-space system recursively. Another subject that will be addressed in this paper is a novel fractional order Kalman filter suitable for the systems with coloured measurement noise. The promising performance of the proposed methods is verified using two stable fractional order systems. 相似文献
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This article concerns the identification of a class of large scale systems called “circulant systems”. Circulant systems have a special property that allows them to be decomposed into simpler subsystems through a state transformation. This property has been used in literature for control design, and here we show how it can be used for system identification. The approach that is proposed here will both reduce the complexity of the problem as well as provide models which have a circulant structure that can be exploited for control design. A novel identification algorithm for circulant systems based on subspace identification is presented. The algorithm is then tested in simulation on an academic example of circulant system and on a realistic finite element model of a vibrating plate. 相似文献
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A subspace identification method is discussed that deals with multivariable linear parameter-varying state-space systems with affine parameter dependence. It is shown that a major problem with subspace methods for this kind of system is the enormous dimension of the data matrices involved. To overcome the curse of dimensionality, we suggest using only the most dominant rows of the data matrices in estimating the model. An efficient selection algorithm is discussed that does not require the formation of the complete data matrices, but processes them row by row. 相似文献
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I. Chairez R. Fuentes A. Poznyak T. Poznyak M. Escudero L. Viana 《International journal of systems science》2013,44(2):296-307
There are many examples in science and engineering which are reduced to a set of partial differential equations (PDEs) through a process of mathematical modelling. Nevertheless there exist many sources of uncertainties around the aforementioned mathematical representation. Moreover, to find exact solutions of those PDEs is not a trivial task especially if the PDE is described in two or more dimensions. It is well known that neural networks can approximate a large set of continuous functions defined on a compact set to an arbitrary accuracy. In this article, a strategy based on the differential neural network (DNN) for the non-parametric identification of a mathematical model described by a class of two-dimensional (2D) PDEs is proposed. The adaptive laws for weights ensure the ‘practical stability’ of the DNN-trajectories to the parabolic 2D-PDE states. To verify the qualitative behaviour of the suggested methodology, here a non-parametric modelling problem for a distributed parameter plant is analysed. 相似文献