层次环形拓扑结构的动态粒子群算法

粒子群算法（PSO）的拓扑结构决定粒子之间的信息交互方式,是影响算法性能的关键因素。为提高算法性能,提出了一种层次环形拓扑结构的动态粒子群算法（HRPSO）,粒子组成的环被分配在规则树中,算法运行时,环在层次中动态移动。通过6个标准测试函数优化,比较了HRPSO与几种基准算法的性能,实验结果证明HRPSO在精确性和稳定性上具有优势。     

基于改进粒子群算法的Hammerstein模型辨识

提出辨识非线性Hammerstein模型的新方法。将非线性系统的辨识问题转化为参数空间上的函数优化问题,采用粒子群算法获得该优化问题的解。为了进一步增强粒子群优化算法的辨识性能,提出采用速度变异粒子群对整个参数空间进行搜索得到系统参数的最优估计。仿真结果验证了该方法的有效性。     

Global optimization of an optical chaotic system by Chaotic Multi Swarm Particle Swarm Optimization

The control and estimation of unknown parameters of chaotic systems are a daunting task till date from the perspective of nonlinear science. Inspired from ecological co-habitation, we propose a variant of Particle Swarm Optimization (PSO), known as Chaotic Multi Swarm Particle Swarm Optimization (CMS-PSO), by modifying the generic PSO with the help of the chaotic sequence for multi-dimension unknown parameter estimation and optimization by forming multiple cooperating swarms. This achieves load balancing by delegating the global optimizing task to concurrently operating swarms. We apply it successfully in estimating the unknown parameters of an autonomous chaotic laser system derived from Maxwell-Bloch equations. Numerical results and comparison demonstrate that for the given system parameters, CMS-PSO can identify the optimized parameters effectively evolving at each iteration to attain the pareto optimal solution with small population size and enhanced convergence speedup.     

Parameter estimation of bilinear systems based on an adaptive particle swarm optimization

Bilinear models can approximate a large class of nonlinear systems adequately and usually with considerable parsimony in the number of coefficients required. This paper presents the application of Particle Swarm Optimization (PSO) algorithm to solve both offline and online parameter estimation problem for bilinear systems. First, an Adaptive Particle Swarm Optimization (APSO) is proposed to increase the convergence speed and accuracy of the basic particle swarm optimization to save tremendous computation time. An illustrative example for the modeling of bilinear systems is provided to confirm the validity, as compared with the Genetic Algorithm (GA), Linearly Decreasing Inertia Weight PSO (LDW-PSO), Nonlinear Inertia Weight PSO (NDW-PSO) and Dynamic Inertia Weight PSO (DIW-PSO) in terms of parameter accuracy and convergence speed. Second, APSO is also improved to detect and determine varying parameters. In this case, a sentry particle is introduced to detect any changes in system parameters. Simulation results confirm that the proposed algorithm is a good promising particle swarm optimization algorithm for online parameter estimation.     

Particle swarm approaches using Lozi map chaotic sequences to fuzzy modelling of an experimental thermal-vacuum system

Particle Swarm Optimization (PSO) approach intertwined with Lozi map chaotic sequences to obtain Takagi–Sugeno (TS) fuzzy model for representing dynamical behaviours are proposed in this paper. The proposed method is an alternative for nonlinear identification approaches especially when dealing with complex systems that cannot always be modelled using first principles to determine their dynamical behaviour. Since modelling nonlinear systems is normally a difficult task, fuzzy models have been employed in many identification problems due its inherent nonlinear characteristics and simple structure, as well. This proposed chaotic PSO (CPSO) approach is employed here for optimizing the premise part of the IF–THEN rules of TS fuzzy model; for the consequent part, least mean squares technique is used. The proposed method is utilized in an experimental application; a thermal-vacuum system which is employed for space environmental emulation and satellite qualification. Results obtained with a variety of CPSO's are compared with traditional PSO approach. Numerical results indicate that the chaotic PSO approach succeeded in eliciting a TS fuzzy model for this nonlinear and time-delay application.     

基于一种改进粒子群算法的SVM参数选取

支持向量机作为一个新兴的数学建模工具已经被广泛地应用到很多工业控制领域中,其良好的泛化能力和预测精度在很大程度上受到其参数选取的影响.根据智能群体进化模式改进粒子群优化算法.利用模糊C均值聚类算法分类粒子群体,并用子群体最优点取代速度更新公式中的个体历史最优点,并利用该算法搜索支持向量机的最优参数组合.对比仿真实验表明:所提优化算法是支持向量机参数选取的有效算法,在非线性函数估计中体现出优良的性能.     

Nature-inspired optimal tuning of input membership functions of Takagi-Sugeno-Kang fuzzy models for Anti-lock Braking Systems

This paper suggests a synergy of fuzzy logic and nature-inspired optimization in terms of the nature-inspired optimal tuning of the input membership functions of a class of Takagi-Sugeno-Kang (TSK) fuzzy models dedicated to Anti-lock Braking Systems (ABSs). A set of TSK fuzzy models is proposed by a novel fuzzy modeling approach for ABSs. The fuzzy modeling approach starts with the derivation of a set of local state-space models of the nonlinear ABS process by the linearization of the first-principle process model at ten operating points. The TSK fuzzy model structure and the initial TSK fuzzy models are obtained by the modal equivalence principle in terms of placing the local state-space models in the rule consequents of the TSK fuzzy models. An operating point selection algorithm to guide modeling is proposed, formulated on the basis of ranking the operating points according to their importance factors, and inserted in the third step of the fuzzy modeling approach. The optimization problems are defined such that to minimize the objective functions expressed as the average of squared modeling errors over the time horizon, and the variables of these functions are a part of the parameters of the input membership functions. Two representative nature-inspired algorithms, namely a Simulated Annealing (SA) algorithm and a Particle Swarm Optimization (PSO) algorithm, are implemented to solve the optimization problems and to obtain optimal TSK fuzzy models. The validation and the comparison of SA and PSO and of the new TSK fuzzy models are carried out for an ABS laboratory equipment. The real-time experimental results highlight that the optimized TSK fuzzy models are simple and consistent with both training data and validation data and that these models outperform the initial TSK fuzzy models.     

Stability analysis of particle swarm optimization without Lipschitz constraint

There are some adjustable parameters which directly influence the performance and stability of Particle Swarm Optimization algorithm. In this paper, stabilities of PSO with constant parameters and time-varying parameters are analyzed without Lipschitz constraint. Necessary and sufficient stability conditions for acceleration factor φ and inertia weight w are presented. Experiments on benchmark functions show the good performance of PSO satisfying the stability condition, even without Lipschitz constraint . And the inertia weight w value is enhanced to ( - 1,1).     

改进PSO算法优化LSSVM模型的短期客流量预测

旅游客流量的准确预测为旅游目的地资源优化配置、景区战略计划制定提供有效依据。为了提高景区日客流量的预测精度,提出基于改进粒子群算法（Particle Swarm Optimization,PSO）优化最小二乘支持向量机（Least Squares Support Vector Machine,LSSVM）的预测方法,针对PSO算法的惯性权重在采取线性递减策略时不能满足粒子寻优非线性变化的缺陷,从种群中粒子的聚合程度以及种群进化中粒子适应度同惯性权重的关系出发,利用对数函数非线性变化的特性,提出基于对数函数的惯性权重自适应调整方法（Adaptive Logarithmic Particle Swarm Optimization,ALPSO）。通过改进的PSO算法优化LSSVM的参数,建立山岳型风景区日客流量的预测模型。以黄山风景区2012-2015年景区每日上山人数为例,实验结果证明,与基于标准PSO算法、正弦粒子群算法（Sinusoidal Particle Swarm Optimization,SPSO）和高斯粒子群算法（Gaussian Particle Swarm Optimization,GPSO）优化的LSSVM模型相比,ALPSO-LSSVM模型的预测性能更好,是准确预测景区日客流量的有效方法。     

Parameters identification of nonlinear state space model of synchronous generator

Synchronous generator (SG) modeling plays an important role in system planning, operation and post-disturbance analysis. This paper presents an improved algorithm named Particle Swarm Optimization with Quantum Operation (PSO–QO) to solve both offline and online parameters estimation problem for SG. First, the hybrid algorithm is proposed to increase the convergence speed and identification accuracy of the basic Particle Swarm Optimization (PSO). An illustrative example for parameters identification of SG is provided to confirm the validity, as compared with Linearly Decreasing Inertia Weight PSO (LDW-PSO), and the Quantum Particle Swarm Optimization (QPSO) in terms of parameter estimation accuracy and convergence speed. Second, PSO–QO is also improved to detect and determine parameters variation. In this case, a sentry particle is introduced to detect any changes in system parameters. Simulation results confirm that the proposed algorithm is a viable alternative for online parameters detection and parameters identification of SG.     

基于模糊文化算法的自适应粒子群优化

为解决粒子群优化中惯性权重的调整机制在具体优化问题中的自适应问题,本文建立了一种全新的基于模糊文化算法的自适应粒子群优化算法;利用模糊规则表示个体粒子在演化过程中获取的经验,经验共享形成群体文化,并利用遗传算法来实现文化的进化;通过信念空间中以模糊规则表示的知识建立模糊系统来逼近与实际问题相适应的惯性权
权重控制器。在测试函数集上的仿真实验对比结果证明,该算法相对于现有算法有优势。     

基于粒子群优化和模糊c均值聚类的入侵检测

针对模糊c均值算法对初始化敏感及易陷入局部极值的问题,利用粒子群优化算法的全局优化性能,结合模糊c均值聚类算法,提出基于粒子群优化和模糊c均值聚类的入侵检测方法。该方法可快速得到全局最优聚类,并且有效检测出未知的攻击。实验表明该方法不仅对未知攻击有较好的检测效果,而且具有较低的误报率和较高的检测率。     

一种非线性权重的自适应粒子群优化算法

针对粒子群优化算法中出现早熟和不收敛问题,分析了基本PSO算法参数对其优化性能的影响,提出了基于非线性权重的自适应粒子群优化算法（NWAPSO）。在优化过程中,惯性权重随迭代次数非线性变化,改进的算法能使粒子自适应地改变搜索速度进行搜索,并与基本粒子群算法以及其他改进的粒子群算法进行了比较。实验结果表明,该算法在搜索精度和收敛速度等方面有明显优势。特别对于高维、多峰等复杂非线性优化问题,算法的优越性更明显。     

多智能体粒子群算法在配电网络重构中的应用

结合多智能体的学习、协调策略及粒子群算法,提出了一种基于多智能体粒子群优化的配电网络重构方法。该方法采用粒子群算法的拓扑结构来构建多智能体的体系结构,在多智能体系统中,每一个粒子作为一个智能体,通过与邻域的智能体竞争、合作,能够更快、更精确地收敛到全局最优解。粒子的更新规则减少了算法不可行解的产生,提高了算法效率。实验结果表明,该方法具有很高的搜索效率和寻优性能。     

Conjugate direction particle swarm optimization solving systems of nonlinear equations

Solving systems of nonlinear equations is a difficult problem in numerical computation. For most numerical methods such as the Newton’s method for solving systems of nonlinear equations, their convergence and performance characteristics can be highly sensitive to the initial guess of the solution supplied to the methods. However, it is difficult to select a good initial guess for most systems of nonlinear equations. Aiming to solve these problems, Conjugate Direction Particle Swarm Optimization (CDPSO) was put forward, which introduced conjugate direction method into Particle Swarm Optimization (PSO)in order to improve PSO, and enable PSO to effectively optimize high-dimensional optimization problem. In one optimization problem, when after some iterations PSO got trapped in local minima with local optimal solution , conjugate direction method was applied with as a initial guess to optimize the problem to help PSO overcome local minima by changing high-dimension function optimization problem into low-dimensional function optimization problem. Because PSO is efficient in solving the low-dimension function optimization problem, PSO can efficiently optimize high-dimensional function optimization problem by this tactic. Since CDPSO has the advantages of Method of Conjugate Direction (CD) and Particle Swarm Optimization (PSO), it overcomes the inaccuracy of CD and PSO for solving systems of nonlinear equations. The numerical results showed that the approach was successful for solving systems of nonlinear equations.     

PSO算法的收敛性及参数选择研究

PSO算法(微粒群算法)是一种仿生优化技术,目前国内外对该算法的研究成果已经很丰富。然而PSO的数学基础还显得相对薄弱,对该算法的研究也仅仅限于在一维问题域内的收敛情况,对二维以及多维算法域收敛稳定性还缺乏深刻且具有普遍意义的理论分析。因此,在介绍分析一维问题域算法收敛的基础上,研究PSO算法在二维以及多维算法域内的收敛情况,从而寻求更加有利于微粒群算法收敛的参数选择。     

具有反向学习和自适应逃逸功能的粒子群优化算法

为克服粒子群优化算法进化后期收敛速度慢、易陷入局部最优等缺点,提出一种具有反向学习和自适应逃逸功能的粒子群优化算法.通过设定的阈值,算法将种群进化状态划分为正常状态和"早熟"状态: 若算法处于正常的进化状态,采用标准粒子群优化算法的进化模式;当粒子陷入"早熟"状态,运用反向学习和自适应逃逸功能,对个体最优位置进行反向学习,产生粒子的反向解,增加粒子的反向学习能力,增强算法逃离局部最优的能力,提高算法寻优率.在固定评估次数的情况下,对8个基准测试函数进行仿真,实验结果表明:所提算法在收敛速度、寻优精度和逃离局部最优的能力上明显优于多种经典粒子群优化算法,如充分联系的粒子群优化算法(FIPS)、基于时变加速度系数的自组织分层粒子群优化算法(HPSO-TVAC)、综合学习的粒子群优化算法(CLPSO)、自适应粒子群优化算法(APSO)、双中心粒子群优化算法(DCPSO)和具有快速收敛和自适应逃逸功能的粒子群优化算法(FAPSO)等.     

求解非线性方程组的混合粒子群算法

结合Hooke-Jeeves和粒子群的优点,提出了一种混合粒子群算法,用于求解非线性方程组,以克服Hooke-Jeeves算法对初始值敏感和粒子群容易陷入局部极值而导致解的精度不够的缺陷。该算法充分发挥了粒子群强大的全局搜索能力和Hooke-Jeeves的局部精细搜索能力,数值实验结果表明：能够以满意的精度求出对未知数具有敏感性的非线性方程组的解,具有良好的鲁棒性和较快的收敛速度和较高的搜索精度。     

基于小波变异粒子群和模糊熵的图像分割

基于粒子群和模糊熵的图像分割算法用于各种图像分割时,由于基本粒子群算法存在易陷入局部最优以及过早收敛的缺点,使得该算法难以得到理想的分割效果。针对此问题,提出了一种基于小波变异粒子群和模糊熵的图像分割算法,利用小波变异粒子群来搜索使模糊熵最大的参数值,得到模糊参数的最优组合,进而确定图像的分割阈值。通过与其他两种粒子群算法的分割结果进行比较,表明该算法取得了令人满意的分割结果,算法运算时间较小,具有很好的自适应性。     

基于改进粒子群算法的行李条码阅读器布局优化

针对航空旅客托运行李时,检测行李条码的阅读器数量、位置、姿态存在很多不确定性问题,提出了动态种群-双适应值粒子群优化(DPDF-PSO)算法。首先,建立行李条码检测数学模型;然后,转化为约束优化问题;其次,通过标准粒子群优化(PSO)算法求解此优化问题;最后,依照模型特点对标准粒子群算法进行改进。仿真结果表明,与标准PSO算法相比,DPDF-PSO算法仿真时间降低了23.6%,目标函数值提高了3.7%。DPDF-PSO算法克服了标准粒子群优化算法中仿真时间慢、边界最优解难处理的缺点,阅读器布局方案能以较低的成本准确快速读取行李身份信息。