Approximate Controllability of Fractional Order Retarded Semilinear Control Systems

In this paper, approximate controllability of fractional order retarded semilinear systems is studied when the nonlinear term satisfies the newly formulated bounded integral contractor-type conditions. We have shown the existence and uniqueness of the mild solution for the fractional order retarded semilinear systems using an iterative procedure approach. Finally, we obtain the approximate controllability results of the system under simple condition.

The cost of approximate controllability for semilinear heat equations

We consider the semilinear heat equation with globally Lipschitz non-linearity involving gradient terms in a bounded domain of R^n. In this paper, we obtain explicit bounds of the cost of approximate controllability, i.e., of the minimal norm of a control needed to control the system approximately. The methods we used combine global Carleman estimates, the variational approach to approximate controllability and Schauder＇s fixed point theorem.

K-controllability and Approximate K-controllability of Nonlinear Neutral Systems in Banach Spaces

In this paper, K-controllability and approximate K-controllability of non- linear neutral differential equations in Banach spaces are studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using Leray-Schauder theory.

A Characterization of Semilinear Surjective Operators and Applications to Control Problems

In this paper we characterize a broad class of semilinear surjective operators given by the following formula where Z are Hilbert spaces, and is a suitable nonlinear function. First, we give a necessary and sufficient condition for the linear operator to be surjective. Second, we prove the following statement: If and is a Lipschitz function with a Lipschitz constant small enough, then and for all the equation admits the following solution .We use these results to prove the exact controllability of the following semilinear evolution equation , , where , are Hilbert spaces, is the infinitesimal generator of strongly continuous semigroup in the control function belong to and is a suitable function. As a particular case we consider the semilinear damped wave equation, the model of vibrating plate equation, the integrodifferential wave equation with Delay, etc.

Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay

In this work,we study the approximate controllability for a class of semilinear second-order control systems with finite delay.Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators.To illustrate the applications of the obtained results,an example is provided in the end.

Controllability of Semilinear Integrodifferential Degenerate Sobolev Equations

In this paper,the approximate controllability of semilinear integrodifferential degenerate Sobolev equations with nonlocal conditions is investigated in the sense of integral solution in Hilbert spaces.Some sufficient and necessary conditions are obtained.Firstly,the existence and uniqueness of integral solutions of semilinear integrodifferential degenerate Sobolev equations with nonlocal conditions are considered by GE-evolution operator theory and Sadovskii’s fixed point theorem,the existence and uniqueness theorem of solutions is given.Secondly,the approximate controllability of semilinear integrodifferential degenerate Sobolev equations with nonlocal conditions is studied in the sense of integral solution.The criterion for approximate controllability is provided.The obtained results have important theoretical and practical value for the study of controllability of semilinear integrodifferential degenerate Sobolev equations with nonlocal conditions.

Approximate controllability results of semilinear integrodifferential equations with infinite delays

We study the approximate controllability of control systems governed by a class of semilinear integrod- ifferential equations with infinite delays. Sufficient conditions for approximate controllability of semilinear control systems are established provided the approximate controllability of the corresponding linear control systems. The results are obtained by using fixed-point theorems and semigroup theory. As an illustration of the application of the approximate controllability results, a simple example is provided.

Approximate Controllability of Neutral Functional Differential Systems with State-Dependent Delay

This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can apply to the systems involving derivatives of spatial variables. By methods of functional analysis and semigroup theory, sufficient conditions of approximate controllability are formulated and proved. Finally, an example is provided to illustrate the applications of the obtained results.

兆瓦级高效紧凑型核动力系统运行特性研究

为研究兆瓦级高效紧凑型核动力系统的运行特性,使用自主开发的热管堆瞬态分析程序TAPIRS(Transient Analysis code for heat Pipe and AMTEC power conversion space Reactor power System)和超临界二氧化碳布雷顿循环的瞬态分析程序SCTRAN/CO_(2)(Super Critical reactors Transient Analysis code/Carbon Dioxide)的耦合程序对其反应性、负荷、冷却水温度和流量等扰动进行了开环动态响应分析,并据此进行了控制系统设计。在此基础上,对线性变负荷、阶梯式变负荷以及甩负荷这三种变负荷运行工况进行了计算分析。结果表明:该核动力系统的转速对扰动的变化较为敏感,需要加以控制;低负荷下旁通会使压缩机流量上升,需对压缩机流量加以控制;系统在控制方案下能以6%FP(Full Power)·min^(−1)的速度实现0%~100%的负荷变动,且可以在任意负荷水平下运行;甩负荷下系统的波动时间变长,但是仍可达到新的稳态进行工作,且各参数处于安全范围内。本研究可为新型核动力系统的概念设计提供参考。

分数阶脉冲微分系统的逼近能控性

近年来,脉冲微分系统的能控性引起了人们的重视,这类系统在航天技术、信息科学、控制系统、通讯、生命科学、医学、经济领域均得到重要应用。基于这一原因,在Banach空间中考虑了一类非线性分数阶脉冲微分系统的逼近能控性。目前已有的结果是半线性微分系统中研究,而在脉冲微分系统中研究的,更具有现实意义。首先通过Schauder不动点定理研究了一类非线性分数阶脉冲微分系统温和解的存在性,然后利用半群理论、解算子和预解算子的相关性质,证明这一类系统的逼近能控性,最后给出的实例分析及应用阐明主要结果。

基于参数单点模糊化方法的模糊系统及其逼近能力

本文研究了单输入-单输出模糊系统的构造和所构造的模糊系统的逼近能力.首先,在模糊系统的构造中,引入了对输入变量进行参数单点模糊化的方法.应用这种方法,当推理前件和后件都取为具有二相性的三角波时,对六类(41个)模糊蕴涵算子构造的模糊系统进行了研究.其次,对所构造的模糊系统的逼近能力做了研究,给出了它们的余项表达式和余项估计公式.

数据驱动的工业过程运行优化控制

现代工业过程机理复杂使得很难对生产过程以及运行指标与被控变量之间关系精确建模.如何基于工业运行过程数据信息,不依赖模型参数给出设定值设计方案,优化运行指标是一挑战性难题.本文针对在稳态附近可以线性化的一类工业过程,考虑运行控制环和底层控制环不同时间尺度,提出一种基于Q--学习方法的次优设定值学习算法.此算法完全利用数据,学习得到次优设定值,实现运行指标以次优的方式跟踪理想值.浮选过程仿真结果表明本文所提方法的有效性.

基于微分算子小波显式表示的分布参数系统最优逼近控制

基于微分算子在紧支撑正交小波基下的精确显式表示,给出了一种分布参数系统最优控制的逼近计算方法.将微分算子投影到小波空间,利用其矩阵表示形式,将分布参数系统的最优控制转化为集中参数系统最优控制问题.该方法不需要为边界条件重新构造基函数,在将偏微分方程转化为其常微分方程近似形式的过程中,不需要考虑边界条件的影响,因此计算方便、适用范围广,同时具有很高的精度和计算效率,可以对计算误差进行预测.利用该方法进行了基于Daubech ies(db1)小波的仿真计算,并对计算结果进行了验证.*

模糊控制器是泛逼近器的若干充分条件

通过分析模糊控制器的一般算法,发现模糊控制器是否具有泛逼近性,关键取决于模糊蕴涵算子θ(ɑ,0)和θ(ɑ,1)时的表达式或取值.在此基础上给出了模糊控制器具有泛逼近性的若干充分条件.进而,由这些充分条件验证了当规则取并时有29个模糊蕴涵算子构成的模糊控制器具有函数的泛逼近性;当规则取交时有40个模糊蕴涵算子构成的模糊控制器具有函数的泛逼近性.

一类非线性脉冲发展方程的最优反馈控制(英文)

本文考虑受控系统为Banach空间中一类G0紧半群的非线性脉冲积微分方程的最优反馈控制问题。首先证明容许控制对的存在性,进一步对Lagrange问题给出了一个新的存在性定理。

一种分数阶PI~αD~β控制器的设计与化简

针对分数阶PIαDβ控制器数字实现相对复杂、结构调整相对困难这一情况,依据分数阶微积分算子最佳有理逼近原理,提出了一种逼近频带可选择的分数阶PIαDβ控制器设计与化简方法。这种分数阶控制器设计与化简方法可以方便地用程序来实现,为分数阶控制器的工程化应用提供了一个途径。

振动压路机动力学模型及工作参数控制

讨论振动压路机动力学模型、工作参数优化及控制 ,给出测控系统及振动压路机实施方案。由最佳压实效果的概念优化出的工作参数经适当地处理后去驱动伺服控制装置实现智能化。

基于小波变换的一阶线性变参数分布参数系统预测控制

介绍了小波及其乘积运算矩阵和离散时间分布参数系统的预测控制,对一阶线性变参数分布参数系统用Haar正交小波基进行了逼近。将Haar正交小波应用于一阶线性变参数分布参数系统的预测控制研究,仿真结果验证了算法的有效性。

城市轨道交通CBTC关键技术——列车自动驾驶(ATO)子系统

围绕城市轨道交通CBTC信号系统需求并基于列车运行流程,描述了ATO子系统所具备的列车自动驾驶、自动折返等关键功能及其工作原理。提出了基于紧凑型PCI工业计算机总线架构的ATO核心硬件设计方案,分析了包括操作系统和应用软件流程在内的ATO软件设计思路。

基于过半可信原则的三I算法模糊控制器及其响应能力

给出了49个模糊蕴涵算子基于过半可信原则的三I算法的表达式,在此基础上详细讨论这49个模糊蕴涵算子基于过半可信原则三I算法构成的单输入单输出和双输入单输出模糊控制器,并分析了它们的响应能力.结果表明:在这49个模糊蕴涵算子中,只有一个模糊蕴涵算子基于过半可信原则三I算法构成的模糊控制器具有函数的泛逼近性;另有一个模糊蕴涵算子基于过半可信原则三I算法构成的模糊控制器近似为拟合函数;44个模糊蕴涵算子基于过半可信原则三I算法构成的模糊控制器只具有阶跃响应能力;3个模糊蕴涵算子基于过半可信原则三I算法构成的模糊控制器为未定型.