基于遗传算法的非线性系统模型参数估计

针对一性系统系统模型的多样性,提出适用于多种非线性模型的基于遗传算法的参数估计方法,并以多种非线性模型为例作了仿真研究,结果表明,遗传算法是非线性系统模型参数估计的有效工具。     

非线性系统模型参数估计的算法模型

针对非线性系统模型的多样性,提出了适用于多种非线性模型的基于粒子群优化算法的参数估计方法。计算结果表明,粒子群优化算法是非线性系统模型参数估计的有效工具。     

基于遗传算法的分段Chen系统的参数估计

对比研究了单种群遗传算法和多种群遗传算法在分段Chen系统参数估计中的应用,通过构造一个合适的适应度函数,将Chen系统的多参数估计问题转化成一个多参数的寻优问题,利用遗传算法全局寻优性对其进行计算。仿真结果表明,相对于采用单种群遗传算法估计分段Chen系统参数,多种群遗传算法在准确性、鲁棒性方面具有明显的优势。     

基于微粒群算法的非线性系统模型参数估计

微粒群优化(PSO)算法是一种进化算法,包含的概念简单.本文不同于传统的非线性模型参数估计方法,将微粒群优化算法应用于非线性系统模型(NSM)的参数估计,并通过重油热解三集总模型参数估计进行PSO算法效果测试.实验结果表明:微粒群算法为非线性系统模型参数估计提供了一种新方法.     

PSO算法在非线性模型参数估计中的应用

将微粒群优化(PSO)算法用于非线性系统模型参数估计，并通过对谷氨酸菌体生长模型的参数估计进行了验证．实验结果表明：微粒群算法为非线性系统模型参数估计提供了一种有效的途径．     

新型并行遗传算法及其在参数估计中的应用

基于极大似然法的参数估计实质上是一个复杂的非线性优化问题,传统的优化方法计算效率较低且容易陷入局部极值。该文将单纯形法与并行遗传算法相结合,提出了一种新的并行遗传算法,可以有效地防止搜索过程中的早熟现象。应用于系统初始状态未知时的参数估计问题,获得了满意的结果。     

基于粒子群优化算法的非线性系统模型参数估计

非线性模型的参数估计是较为困难的寻优问题,经典方法常会陷入局部极值.由于粒子群算法是一种有效的解决优化问题的群集智能算法,它的突出特点是操作简便、容易实现且全局搜索功能较强,故将粒子群优化算法用于非线性系统模型参数估计,并通过对3种典型的非线性模型的参数估计进行了验证.实验结果表明:粒子群优化算法参数估计精度高,是一种有效的参数估计方法.     

基于粒子群优化算法的非线性系统模型参数估计

非线性模型的参数估计是较为困难的寻优问题,经典方法常会陷入局部极值。由于粒子群算法是一种有效的解决优化问题的群集智能算法,它的突出特点是操作简便、容易实现且全局搜索功能较强,故将粒子群优化算法用于非线性系统模型参数估计,并通过对3种典型的非线性模型的参数估计进行了验证。实验结果表明：粒子群优化算法参数估计精度高,是一种有效的参数估计方法。     

非线性函数逼近小波神经网络的优化及仿真

提出一种用于非线性函数逼近的小波神经网络的训练算法。分析了网络的拓扑结构,给出了网络的参数估计方法,即混合递阶遗传算法,该算法是递阶遗传算法和多元线性回归的结合,仿真研究表明该方法逼近精度高,为非线性系统建模提供了一种新方法。     

PSO算法在非线性回归模型参数估计中的应用

非线性回归模型的参数估计是较为困难的寻优问题,经典方法常会陷入局部极值.由于粒子群算法是一种有效的解决优化问题的群集智能算法,它的突出特点是操作简便、容易实现且全局搜索功能较强,故将粒子群优化算法用于非线性系统模型参数估计,并通过对6种非线性回归模型的参数估计进行了验证.实验结果表明:粒子群优化算法是一种有效的参数估计方法.     

非线性系统参数估计的一类有效搜索策略

结合模拟退火的随机概率突跳性搜索和单纯形法的凸多面体几何搜索,提出了非线性 系统参数估计的一类有效搜索策略.通过对多种非线性定常系统的多维参数估计和非线性时变 水箱系统的参数与时滞在线联合估计的仿真研究,验证了该方法的可行性、有效性及其一定的 抗噪声能力.     

A parameter optimization method for radial basis function type models

This paper considers the nonlinear systems modeling problem for control. A structured nonlinear parameter optimization method (SNPOM) adapted to radial basis function (RBF) networks and an RBF network-style coefficients autoregressive model with exogenous variable model parameter estimation is presented. This is an off-line nonlinear model parameter optimization method, depending partly on the Levenberg-Marquardt method for nonlinear parameter optimization and partly on the least-squares method using singular value decomposition for linear parameter estimation. When compared with some other algorithms, the SNPOM accelerates the computational convergence of the parameter optimization search process of RBF-type models. The usefulness of this approach is illustrated by means of several examples.     

&thetas;-adaptive neural networks: a new approach to parameterestimation

A novel use of neural networks for parameter estimation in nonlinear systems is proposed. The approximating ability of the neural network is used to identify the relation between system variables and parameters of a dynamic system. Two different algorithms, a block estimation method and a recursive estimation method, are proposed. The block estimation method consists of the training of a neural network to approximate the mapping between the system response and the system parameters which in turn is used to identify the parameters of the nonlinear system. In the second method, the neural network is used to determine a recursive algorithm to update the parameter estimate. Both methods are useful for parameter estimation in systems where either the structure of the nonlinearities present are unknown or when the parameters occur nonlinearly. Analytical conditions under which successful estimation can be carried but and several illustrative examples verifying the behavior of the algorithms through simulations are presented.     

系统参数估计的混沌方法

采用非线性方法，它以不稳定、非平衡、无序、不确定和非一致为特征。阐述了混沌系统的实现，介绍了参数估计的混沌方法。放弃了测量大量数据的做法，而是比较两条运动轨道的弯曲状态来实现估计。最后给出了二阶系统和三阶系统的仿真结果。     

基于改进的布谷鸟搜索算法对分数阶生物系统的参数估计

近年来,非线性分数阶系统的参数估计问题已经在许多科学和工程领域特别是计算生物学中,引起了广泛的兴趣.本文针对分数阶生物系统的参数估计问题,将系统参数和分数阶导数同时作为独立的未知参数来进行估计,并提出了一种改进的布谷鸟搜索(improved cuckoo search, ICS)算法来求解该问题.在ICS算法中,通过引入一个自适应参数控制机制,同时结合反向学习方法,从而达到提高算法收敛速度和估计值精度的目的.最后,以三种经典的分数阶生物动力系统模型为例进行了数值仿真,其中还考虑了有测量误差和噪声数据的情形.仿真结果表明ICS算法具有良好的适应性、较高的收敛可靠性及精度,为求解非线性分数阶系统参数估计问题提供了一种有效工具.     

Lyapunov-based adaptive state estimation for a class of nonlinear stochastic systems

This paper is concerned with an adaptive state estimation problem for a class of nonlinear stochastic systems with unknown constant parameters. These nonlinear systems have a linear-in-parameter structure, and the nonlinearity is assumed to be bounded in a Lipschitz-like manner. Using stochastic counterparts of Lyapunov stability theory, we present adaptive state and parameter estimators with ultimately exponentially bounded estimator errors in the sense of mean square for both continuous-time and discrete-time nonlinear stochastic systems. Sufficient conditions are given in terms of the solvability of LMIs. Moreover, we also introduce a suboptimal design approach to optimizing the upper bound of the mean-square error of parameter estimation. This suboptimal design procedure is also realized by LMI computations. By a martingale method, we also show that the related Lyapunov function has a non-negative Lyapunov exponent.     

Unscented Kalman filter for continuous‐time nonlinear fractional‐order systems with process and measurement noises

This study proposes the design of unscented Kalman filter for a continuous‐time nonlinear fractional‐order system involving the process noise and the measurement noise. The nonlinear fractional‐order system is discretized to get the difference equation. According to the unscented transformation, the design method of unscented Kalman filter for a continuous‐time nonlinear fractional‐order system is provided. Compared with the extended Kalman filter, the proposed method can obtain a more accurate estimation effect. For fractional‐order systems containing non‐differentiable nonlinear functions, the method proposed in this paper is still effective. The unknown parameters are also discussed by the augmented vector method to achieve the state estimation and parameter identification. Finally, two examples are offered to verify the effectiveness of the proposed unscented Kalman filter for nonlinear fractional‐order systems.     

带有灰色补偿的Backstepping控制

针对一类二阶非线性不确定系统提出了一种新的控制方法,即带有灰色补偿的Backstepping控制,该方法分为两个阶段进行.第一阶段采用Backstepping控制方法进行控制,对不确定部分的模型参数进行估计.第二阶段经过N步参数估计之后,在上述控制律基础上,按估计参数加上补偿控制,构成带有灰色补偿的Baekstepping控制.该方法解决了非线性不确定系统的Backstepping控制问题.该方法不仅能精确估计出系统的不确定参数,而且经过补偿的控制器使系统的性能大为改善,并增强了系统的鲁棒性.仿真结果表明了该方法的有效性.     

Recursive maximum likelihood parameter estimation for state space systems using polynomial chaos theory

This paper combines polynomial chaos theory with maximum likelihood estimation for a novel approach to recursive parameter estimation in state-space systems. A simulation study compares the proposed approach with the extended Kalman filter to estimate the value of an unknown damping coefficient of a nonlinear Van der Pol oscillator. The results of the simulation study suggest that the proposed polynomial chaos estimator gives comparable results to the filtering method but may be less sensitive to user-defined tuning parameters. Because this recursive estimator is applicable to linear and nonlinear dynamic systems, the authors portend that this novel formulation will be useful for a broad range of estimation problems.