变速积分PID控制在二容水箱系统的实验研究

针对大滞后、非线性的二容水箱实验系统,进行了变速积分PID控制研究。在该方法中,分析了变速积分PID控制,推导其控制算法,整定了相关参数。在MATLAB语言环境下编写三种PID控制程序,并将程序应用于二容水箱实验系统,从实验运行结果可见,变速积分PID控制比普通PID控制和积分分离PID控制效果都好,表明使用该控制方法的正确性和优越性。     

改进型积分分离PID控制的设计

基于PID控制应用的广泛性,本文提出了一种改进型积分分离PID控制的设计方法。并以水轮机控制为背景,验证该算法的可行性。     

PID算法中积分环节的改进

本文对传统的PID控制算法进行了深入的分析,并结合实际工程项目,对原PID算法中的积分部分进行了改进。基于实际控制对象,先后用到了“分段积分”,“变速积分”,“非线形变速积分”等方法。经过实验验证,相比传统PID算法,上述改进方法的综合利用取得了显著效果。     

积分分离的单神经元PID控制算法及其研究

将积分分离的思想引入单神经元PID（比例积分微分控制）算法中,提出1种积分分离的单神经元PID控制算法,既避免了由于积分累积而导致的较大超调,减少振荡幅度,又利用单神经元PID算法中参数可调的特性,增强了控制系统的自适应能力。通过对不同被控对象的仿真研究,表明其有效性和优越性。同时,通过对该算法中阈值取值研究及该算法与普通PID及单神经元PID的对比研究,指出了该算法的优缺点。     

伺服电机的预测控制与比例-积分-微分控制

为完成伺服电机平稳而快速的控制,根据预测控制方法中动态矩阵控制原理,提出了基于动态矩阵的预测控制和比例-积分-微分(PID)控制的伺服电机的控制方案。分析了交/直流伺服电机三环控制的统一模型,用预测控制器设计了伺服电机的电流环,提出了利用上升时间和稳态值确定电流环等效惯性环节的方法,最后用PID控制器设计了速度环和位置环。计算和仿真结果表明,电流环的等效惯性环节时间常数与-ln(0.368)成反比,该预测控制和PID混合控制可以很好地实现伺服电机平稳快速的运行。     

基于H∞回路成形的鲁棒PID参数整定

积分过程在工业过程控制中经常遇到,采用常规的PID参数整定方法很难得到理想的控制效果。本文采用基于H∞回路成形的鲁棒PID参数整定方法,实现对积分过程的有效控制。通过Simulink软件的仿真结果表明该方法的有效性。     

具有不确定雅可比矩阵机器人的鲁棒非线性PID控制器的抗饱和失效设计

对于雅克比阵不确定的操作机器人笛卡尔空间操作任务, 提出一种鲁棒非线性PID控制器的抗饱和设计方案, 解决了PID控制中的积分饱和问题. 该控制器通过引入有界递增分段连续函数于PID控制器中的积分环节, 限制了积分器的积分作用, 从而克服了积分环节对闭环系统的不利影响: 一方面使得闭环系统是渐进稳定的, 另一方面又保证了其鲁棒性; 特别是, 相比于其它的抗饱和设计方法, 显得更加简单有效.     

基于积分分离SNPID的果蔬膨化温度控制系统设计

在果蔬膨化温度闭环控制系统中,一般PID调节器参数难以根据环境变化实时自整定,无法实现对被控制对象的精确有效控制;此外,传统数字PID控制器在系统启动、停止或因加工不同果蔬原料而大幅增减温度设定值时,会因为PID控制器积分积累的影响,引起膨化温度控制系统超调增大,从而导致果蔬膨化温度控制系统相对稳定性降低;针对上述问题,提出了以SCL语言开发基于积分分离算法的单神经元PID控制器;将该积分分离SNPID控制器应用于果蔬膨化温度控制系统中,既能避免控制系统产生较大超调,又可通过调整权系数以增强控制系统的自适应能力,从而实现对果蔬膨化温度的精确有效控制。     

微生物发酵过程的温度控制

微生物发酵过程的温度控制精度非常重要,发酵罐罐体温度是通过夹套中的水温来调节的,使用加热器和冷却水调节夹套温度进而控制发酵罐温度。由于温度对象是滞后积分对象,使用传统的PID控制,控制效果差,因此对传统PID控制进行了改造。研究了积分分离PID,指数积分PID和FuzzyPID控制算法在发酵过程温度控制中的应用。实践证明,经过改进的PID算法的控制效果明显提高。     

基于非线性变速积分算法的电动汽车充电电源

对传统的PID控制算法进行了深入的分析,结合电动汽车充电电源项目,对原PID算法中的积分部分进行了改进,先后采用了分段积分,变速积分,非线性变速积分等方法.经过实验验证,相比传统的PID算法,上述改进方法的效果十分显著.     

原子和离子的f~k与g~k的计算机解法

本文给出了原子和离子能量表达式中的库仑积分与交换积分系数f~k与g~k的计算方法,同时给出了计算中所涉及的Racah系数、U~(k)、V~(lk)和C~(k)矩阵等光谱参量的计算方法,我们用FORTRAN语言编写了关于f~k与g~k的计算机程序,只要输入与光谱项有关的量子数,即可迅速得到相应的f~k与g~k值,避免了烦琐的人工推算。     

Extremal fuzzy integrals

Fuzzy integral is a monotone idempotent functional on a fuzzy measure. The extremal fuzzy integrals are introduced. Regular fuzzy integrals do not distinguish functions not distinguishable by the underlying fuzzy measures. These integrals include Choquet, Sugeno, Shilkret and several other well known integrals.     

Computing integrals over polynomially defined regions and their boundaries in 2 and 3 dimensions

We use the cylindrical algebraic decomposition algorithms implemented in Mathematica to produce procedures to analytically compute integrals over polynomially defined regions and their boundaries in two and three dimensions. Using these results, we can implement the divergence theorem in three dimensions or the Green's theorems in two dimensions. These theorems are of central importance in the applications of multidimensional integration. They also provide a strong correctness test for the implementation of our results in a computer algebra system. The resulting software can solve many of the two and some of the three dimensional integration problems in vector calculus textbooks. The three dimensional results are being extended. The results in this paper are being included in an automated student assistant for vector calculus.     

相对变系数PID控制算法

在总结了一些解决大惯性、大纯滞对象在启动、结束或大幅度增减给定值时出现的较大超调量问题的方法的基础上,提出了一种相对变系数PID控制算法.该算法可以有效地解决超调量过大问题,适度提高其他解决方案所牺牲的快速性,并且在给定量突变范围大的系统中有一致的调节品质.通过MATLAB对比仿真验证其有效性.     

POSSIBILITY THEORY II: CONDITIONAL POSSIBILITY

Abstract

It is shown that the nolion of conditional possibility can be consistently iniroduced in possibility theory, in very much the same way as conditional expectations and probabilities are defined in the measure- and integral-theoretic treatment of probability theory. I write down possibilistic integral equations which are formal counterparts of the integral equations used to define conditional expectations and probabilities, and use their solutions to define conditional possibilities. In all, three types of conditional possibilities, with special cases, are introduced and studied. I explain why, like conditional expectations, conditional possibilities are not uniquely defined, but can only be determined up to almost everywhere equality, and I assess the consequences of this nondeterminacy. I also show that this approach solves a number of consistency problems, extant in Ihe literature.     

基于进化策略的广义积分计算方法研究

提出了一种基于进化策略算法的广义积分计算新方法,该方法根据被积函数的变量区间任意选取分割点,作为进化策略的初始的群体,通过进化策略算法来优化这些分割点,最终可得到一些最优的分割点,然后再求和,再根据和函数定义适应度函数,在给定的终止条件下,可获的精度较高的积分值.最后,以广义积分(无穷积分),二重广义积分(瑕积分)为例,仿真结果表明,该算法相比传统的一些方法,具有计算精度高,自适应性强等特点.     

Aggregation functions: Means

This two-part state-of-the-art overview on aggregation theory summarizes the essential information concerning aggregation issues. An overview of aggregation properties is given, including the basic classification on aggregation functions. In this first part, the stress is put on means, i.e., averaging aggregation functions, both with fixed arity (n-ary means) and with multiple arities (extended means).     

Approximate solution of dual integral equations using Chebyshev polynomials

The aim of the present work is to introduce solution of special dual integral equations by the orthogonal polynomials. We consider a system of dual integral equations with trigonometric kernels which appear in formulation of the potential distribution of an electrified plate with mixed boundary conditions and convert them to Cauchy-type singular integral equations. We use the Chebyshev orthogonal polynomials to construct approximate solution for Cauchy-type singular integral equations which will solve the main dual integral equations. Numerical results demonstrate effectiveness of this method.     

Book reviews and abstracts

It is known that for basic linear fuzzy measures the Aumann and the Choquet integrals defined on a special class of fuzzy subsets of some Banach space commute. We characterize basic linear fuzzy measures by means of appropriate linear functionals, and consequently the relevant integral representation (by means of the Lebesgue integral) is introduced. As a corollary the well-known additivity of perimeters of convex subsets in the real plane is obtained.