Shape control on probability density function in stochastic systems

A novel strategy of probability density function （PDF） shape control is proposed in stochastic systems. The control er is designed whose parameters are optimal y obtained through the improved particle swarm optimization algorithm. The parameters of the control er are viewed as the space position of a particle in particle swarm optimization algorithm and updated continual y until the control er makes the PDF of the state variable as close as possible to the expected PDF. The proposed PDF shape control technique is compared with the equivalent linearization technique through simulation experiments. The results show the superiority and the effectiveness of the proposed method. The control er is excellent in making the state PDF fol ow the expected PDF and has the very smal error between the state PDF and the expected PDF, solving the control problem of the PDF shape in stochastic systems effectively.

随机分布系统基于广义H_∞控制的PDF跟踪控制

针对非高斯随机系统,提出了基于线性B样条逼近的广义系统建模方法;讨论了这类广义系统基于H∞状态反馈控制器的设计,解决了非高斯随机系统输出概率密度函数(PDF)跟踪控制和干扰抑制问题;基于线性矩阵不等式,得到了该问题H∞状态反馈控制器存在的充分必要条件。最后,运用仿真验证了所提出方法的有效性。

永磁电磁轴承的PDF控制系统性能研究

采用伪微分反馈控制 (PDF)策略对永磁电磁轴承进行控制 ,建立PDF控制模型。通过对永磁电磁轴承的PDF控制系统的性能分析和计算机仿真以及实验研究可知 ,永磁电磁轴承的PDF控制系统具有高稳定性、高精度、鲁棒性强。

电磁轴承系统的PDF控制性能研究

采用伪微分反馈控制 (PDF)策略对永磁电磁轴承进行控制 ,建立了PDF控制模型 ;通过对永磁电磁轴承的PDF控制系统的性能分析和计算机仿真 ,证明永磁电磁轴承的PDF控制系统具有高稳定性、高精度、鲁棒性强。

基于PDF策略的电机调速系统设计与仿真

基于对伪微分反馈控制理论的研究和应用,结合永磁同步电机(PMSM)特点,设计出了PMSM调速系统中的基于PDF控制的电流环及基于PDF控制的速度环控制器。通过模型推导、系统仿真性能比较,验证了PDF策略在永磁同步电机速度控制中的可用性和优越性能,特别表现在系统动态响应特性和控制精度方面。

Pseudo Derivative Feedback Control of Electro Hydraulic Speed Servos

The Pseudo-Derivative Feedback (PDF) algorithm is introduced into design of electro-hydraulic speed servos. With limited extra complexity in implementation of controller's electronic circuits, the PDF control enables the electro-hydraulic speed servo to respond to a step command without steady-state error, and also to follow successfully a sinusoidal command at the frequency higher than that the system resulted from traditional design can reach. The numerical example-based comparison in dynamic and static behavior shows also the PDF system is superior to the traditional system in terms of both the capability of handling loads applied to the system and the robustness to ignore variation and uncertainty of the parameters of the hydraulic valve-actuator unit in operation.

鲁棒PDF控制策略在永磁同步电机系统中的设计及仿真

对电机控制系统的经典反馈设计方案是建立在简化的受控对象模型基础之上,而实际模型参数的变化会引起控制系统性能的改变;文章针对实际应用的永磁同步电机,为了保证电机控制系统的强鲁棒性,通过对其系统灵敏度的理论推导,给出了一种新的控制器参数设计方法;该设计方法以系统灵敏度为评价指标来度量系统的鲁棒性,结合应用于二阶控制对象的伪微分反馈控制器结构,来削弱控制对象参数值的改变对控制系统性能的影响;并建立了精确的永磁同步电机仿真模型,将该方法应用于其速度控制;仿真结果表明在该控制方案下,在永磁同步电机的转动惯量和定子电阻值变化时具有较小超调量变化(小于4%)的响应特性;同时与普通PID控制对比分析,验证了用该方案设计的PMSM调速系统具有较高的抗参数变化的鲁棒性。

Fault tolerant control based on stochastic distribution via RBF neural networks

A new fault tolerant control（FTC） via a controller reconfiguration approach for general stochastic nonlinear systems is studied.Different from the formulation of classical FTC methods,it is supposed that the measured information for the FTC is the probability density functions（PDFs） of the system output rather than its measured value.A radial basis functions（RBFs） neural network technique is proposed so that the output PDFs can be formulated in terms of the dynamic weighings of the RBFs neural network.As a result,the nonlinear FTC problem subject to dynamic relation between the input and the output PDFs can be transformed into a nonlinear FTC problem subject to dynamic relation between the control input and the weights of the RBFs neural network approximation to the output PDFs.The FTC design consists of two steps.The first step is fault detection and diagnosis（FDD）,which can produce an alarm when there is a fault in the system and also locate which component has a fault.The second step is to adapt the controller to the faulty case so that the system is able to achieve its target.A linear matrix inequality（LMI） based feasible FTC method is applied such that the fault can be detected and diagnosed.An illustrated example is included to demonstrate the efficiency of the proposed algorithm,and satisfactory results have been obtained.

永磁电磁轴承伪微分反馈控制系统性能的研究

采用伪微分反馈控制 (PDF)策略对永磁电磁轴承进行控制 ,建立了 PDF控制模型 ;通过对永磁电磁轴承的 PDF控制系统的性能分析和计算机仿真 ,证明永磁电磁轴承的 PDF控制系统具有高稳定性、高精度、鲁棒性强、可控性好等优点 .

智能积分伪微分算法在闭式泵控系统中的应用

为解决某闭式泵控系统速度控制超调量大且响应慢的问题,提出了基于智能积分伪微分控制的速度控制方法。首先,建立闭式泵控系统的数学模型;然后,分析了一般控制算法的不足,引出了智能积分伪微分控制算法;最后,实现了闭式泵控系统的速度控制仿真,构建了实验平台。实验结果与仿真结果一致,验证了所提方法的可行性。

随机部分可积拟哈密顿系统的概率密度追踪控制

目前非线性随机系统的控制方法存在设计复杂,计算成本高,以及缺乏稳定性或收敛性证明等缺点,针对这些问题,本文在作者前期研究的基础上发展了一种全新的针对部分可积的非线性随机系统的反馈控制,使得受控系统输出的稳态概率密度逼近事先给定的目标概率密度,并利用Lyapunov函数法证明受控系统的收敛性.数学仿真结果证明了这种方法的可行性和正确性.

多维非高斯系统最小熵控制

针对多维非高斯系统提出了最小熵控制方法,控制的目标是使系统的非高斯输出概率密度函数跟踪一个已知的联合概率密度函数.首先,根据系统模型和辅助映射,构建了系统状态、跟踪误差与扰动输入之间的泛函算子模型,然后基于梯度算法设计了递归的次优控制律,最后通过仿真验证了最小熵控制算法的有效性.

一类随机非线性系统状态变量密度函数控制方法研究

对具有随机噪声的非线性系统进行系统分析,采用反常积分法提出了系统被控变量的均值、方差、高阶矩以及系统输出概率密度函数(PDF)的一般求解方法,基于Fokker-Plank(FPK)方程设计控制器实现了PDF的跟踪。通过实例仿真验证了算法的有效性。

高刚度磁悬浮控制系统的研究

针对磁悬浮控制系统的刚度问题 ,采用PDF控制方式 ,以抗干扰作为设计目标 ,以具体的实验数据进行分析和计算。与传统PD校正相比较 。

Technique of Probability Density Function Shape Control for Nonlinear Stochastic Systems

The shape control of probability density function(PDF) of the system state is an important topic in stochastic systems. In this paper, we propose a control technique for PDF shape of the state variable in nonlinear stochastic systems. Firstly, we derive and prove the form of the controller by investigating the Fokker-PlanckKolmogorov(FPK) equation arising from the stochastic system. Secondly, an approach for getting approximate solution of the FPK equation is provided. A special function including some parameters is taken as the approximate stationary solution of the FPK equation. We use nonlinear least square method to solve the parameters in the function, and capture the approximate solution of the FPK equation. Substituting the approximate solution into the form of the controller, we can acquire the PDF shape controller. Lastly, some example simulations are conducted to verify the algorithm.

基于MGC法的非线性随机系统PDF控制

对于非线性随机系统,以均值、方差等低阶统计特征作为研究目标往往难以满足实际的控制要求,需要考虑更高阶的统计特征。概率密度函数(Probability density function, PDF)包含了完全统计特征,因此PDF控制能够实现各阶矩的有效控制。针对受高斯白噪声激励的非线性随机系统,将福克-普朗克-柯尔莫哥洛夫(Fokker-PlanckKolmogrov, FPK)方程作为研究工具,提出一种基于多高斯闭合法(MGC)的PDF控制方法。首先,根据目标PDF的形状构造一个由多个高斯型PDF相叠加的PDF;然后,构造一个优化问题,使得该PDF逼近目标PDF;进一步,通过求解FPK方程得到被控系统的状态方程;最后,结合原始状态方程求得控制函数,实现对目标PDF的追踪控制。针对不同类型目标PDF进行的仿真结果表明了所提出方法的可行性和有效性。