广义分散控制系统的结构脉冲固定模

一、引言广义分散控制系统日益受到人们的重视.从80年代后期开始,Chang、王朝珠等人各自提出并讨论了这类系统的脉冲固定模;文[3—7]和[10]从不同的角度讨论了脉冲固定模的特征.本文将从系统结构上讨论脉冲固定模及其结构特征.     

分散系统的几何特征

本文利用(A,B)特征子空间和(C,A)特征子空间来讨论分散系统的性质。给出了利用局部反馈使系统为单个控制站能控的充要条件。比起其它一些等价条件来,它更清楚反映了分散系统与集中系统的联系。文章还将分散固定模分为分散输入固定模与分散输出固定模,证明了两者的等价性。同时给出了存在分散固定模的一个几何特征。这里给出的结论可以使人对分散系统的结构特点有进一步的了解,也为讨论分散固定模的重数创造了条件。     

在有限部分具有三个奇点二次系统的无穷远奇点

<正> 文[1]讨论了在有限部分具有四个奇点二次系统(记作 E_2~4)的无穷远奇点.本文进而讨论在有限部分具有三个奇点二次系统(记作 E_2~3)的无穷远奇点.一般说来,二次系统(E_2)在有限部分奇点个数越少,无穷远奇点情况越复杂.     

在有限部分具有四个奇点二次系统的无穷远奇点

为了研究具有四个奇点二次系统的结构,本文研究了这类系统的无穷远奇点。 一般来说,二次系统的无穷远奇点是比较复杂的。但是在有限范围内具有四个奇点的次系统,它的无穷远奇点则具有某些特殊性质。为了方便,下面以E_2~4表示这种系统。     

用多项式模型研究分散系统的能观性与能控性

在前一篇文章中,我们用模论方法讨论了分散系统的信息结构,在那项工作的基础上,本文讨论了局部分散反馈下,单个通道可控性与可观性.用模论方法论述了系统传递矩阵,左质分解与右质分解之间的对偶性质以及在分散化条件下的表现.最后,用多项式矩阵形式给出分散固定模存在的一个充要条件的新的简单证明.     

非线性广义系统最优控制的最大值原理：无限维情形

§1.引言 对于无限维非线性最优控制问题,[1]—[3]在一定条件下证明了最大值原理。在有限维情形,[4]讨论了线性广义系统的二次型指标最优问题。关于有限维非线性广义系统的讨论见[5],[6]。而对于无限维非线性广义系统的最优控制问题,目前尚无讨论。本文利用Ekeland变分原理[7]—[10]和Fattorini引理,对具有一般目标泛函的无限维广义系统的最优控制问题给出了最大值原理。     

带跳过程的亚式期权的定价

本文研究了固定敲定价格亚式期权的定价问题.利用Chen和Lyuu[1]的近似分析,获得了完备市场下亚式期权下界的精确表达,推广了文献[4]中的结果到非时齐Poisson跳的广义Black-Scholes模型中,本文模型更符合实际市场规律.     

由广义半模F积分定义的集函数的连续性

为使F积分得到进一步拓广,我们引入了广义半模F积分[1].本文则讨论由广义半模F积分定义的集函数,指出该集函数对F测度的上、下半连续具有遗传性.     

两个Weibull分布尺度参数比的推断

本文研究两个Weibull分布尺度参数比的推断.利用广义枢轴量和广义检验变量分别给出尺度参数比的广义置信区间和假设检验.证明了在形状参数相等时由广义枢轴量确定的尺度参数比的100(1-α)%广义置信区间的覆盖概率为1-α(0＜α＜1).由广义p-值确定的固定水平检验具有真实水平.讨论了形状参数不等时尺度参数比的推断,给出频率性质,通过与前人的结果模拟比较得出本文的方法能更好地解决尺度参数比的推断问题.最后研究两个Weibull分布形状参数比的假设检验,证明由广义p-值确定的固定水平检验具有真实水平.     

带脉冲模的广义线性系统的二次最优控制

广义线性系统的二次最优控制问题是人们普遍关注的研究课题.虽有不少讨论,但都有不尽人意之处.例如,有人先将广义系统正常化后再讨论其最优控制,这样就回到了正常线性系统的已知结果;有人把一部分状态作为控制变量来求解,因此,这种控制方式实际上是不能实现的.在[1]中,我们曾讨论过无脉冲模的广义线性系统二次最优控制问题,给出了(x~*,u~*)为最优解的充要条件.由于没有涉及到脉冲模的存在,因此     

Analysis of nonlinear fractional control systems in Banach spaces

In this paper, we consider the nonlinear control systems of fractional order and its optimal controls in Banach spaces. Using the fractional calculus, Hölder’s inequality, p-mean continuity, weakly singular inequality and Leray-Schauder’s fixed point theorem with compact mapping, the sufficient condition is given for the existence and uniqueness of mild solutions for a broad class of fractional nonlinear infinite dimensional control systems. Utilizing the approximately lower semicontinuity of integral functionals and weakly compactness, we extend the existence result of optimal controls for nonlinear control systems to nonlinear fractional control systems under generally mild conditions. An example is given to illustrate the effectiveness of the results obtained.     

具无穷时滞退化中立型微分系统的周期解(英文)

In this paper,we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay.By using matrix measure and Krasnoselskii＇s fixed point theorem,we obtained the suffcient conditions of the existence of periodic solutions.     

广义分散控制系统的无穷远固定模

在控制系统的理论与应用研究中,广义系统、分散系统越来越受到人们的重视.不仅在理论上已有不少有意义的结果,而且这些理论研究有明显的实际背景.例如 Leontief的动态投入产出模型,Leslie 的人口增长模型,电力系统等.然而,在一些实际系统中,系统不仅具有广义性的特点,而且从控制角度来看也具有分散性的特点.因此我们把系统     

Approximation methods in optimal control problems for nonlinear infinite-dimensional systems

Some notions related to approximate solutions and to the approximation of extremum problems for nonlinear infinite-dimensional systems are proposed. Optimization problems for nonlinear parabolic equations with a fixed terminal state and on an infinite time interval, as well as for singular stationary systems with phase constraints, are illustrated by several examples.     

奇异系统的最优调节器

奇异系统(singular systems)在工程、经济、生态等领域方面,有着广泛的背景与深远的意义.近几年来,作为控制系统的一个非常活跃的分支出现于自动控制界.国内外许多学者在这方面做了不少工作.文献[1]讨论了奇异系统使二次性能指标取极小的最优调节问题.利用奇异系统解     

无穷区间上具积分边值条件的二阶非线性奇异微分方程组正解存在性（英文）

By using cone theory and the Monch fixed theorem combined with a monotone iterative technique,we investigate the existence of positive solutions for systems of secondorder nonlinear singular differential equations with integral boundary conditions on infinite interval and establish the existence theorem of positive solutions and iterative sequence for approximating the positive solutions.The results in this paper improve some known results.     

On solutions of an infinite system of singular integral equations

Using the classical Schauder fixed point principle we prove an existence result concerning an infinite system of singular integral equations. The obtained result is applied to establish the solvability of an infinite system of differential equations of fractional order.     

Standard passivity-based control for multi-hydro-turbine governing systems with surge tank

This paper addresses the problem of control design for hydro-turbine governing systems with surge tanks from the perspective of standard passivity-based control. The dynamic model of a synchronous machine is considered in conjunction with a model of the hydro-turbine to generate an eleventh-order nonlinear set of differential equations. An Euler–Lagrange representati of the system and its open-loop dynamics is developed. Then, the standard passivity-based control is applied to design a global and asymptotically stable controller in closed-loop operation. The proposed control is decentralized to avoid challenges of communication between the hydro-turbine governing systems. The proposed standard passivity-based control approach is compared with two control approaches. First, a classical standard cascade proportional-integral-derivative controller is applied for the governing system, the automatic voltage regulator, and the excitation system. Second, a sliding mode control is also implemented in the governing system. Two test systems were used to validate the performance of the proposed controller. The first test system is a single machine connected to an infinite bus, and the second test system is the well-known Western System Coordinating Council’s multimachine system. Overall, simulation results show that the proposed controller exhibits a better dynamic response with shorter stabilization times and lower peaks during the transient periods.     

Balancing singular discrete-time systems

In this work, we deal with normalizable-balanced singular systems, that is, singular systems where the obtained closed-loop system is balanced by an appropriate feedback. In the invariant case, we use a proportional and derivative feedback to obtain systems without infinite poles. In addition, the existence and construction of state-feedbacks to obtain normalizable-balanced N-periodic singular systems is analyzed.