Impulse Controllability and Impulse Observability of Stochastic Singular Systems

This paper discusses the impulse controllability and impulse observability of stochastic singular systems. Firstly, the condition for the existence and uniqueness of the impulse solution to stochastic singular systems is given by Laplace transform. Secondly, the necessary and sufficient conditions for the impulse controllability and impulse observability of systems considered are derived in terms of matrix theory. Finally, an example is given to illustrate the effectiveness of the obtained theoretical results.     

Controllability and observability of networked control systems with time-varying delays

The controllability and observability of networked control systems are studied. Aiming at the networked control system with time-varying delay, the sufficient and necessary conditions for complete controllability and complete observability of the system are presented, respectively. Because of Markov characteristic of the network-induced delay, in terms of stochastic theory, a sufficient and necessary condition for completely mean value controllability of networked control systems is obtained. Further, the conditions that the controllability and observability of networked control systems are equivalent to the initial time-invariant system are given. Controllability and observability realization indexes are also discussed, respectively. The numerical example demonstrates the effectiveness of the proposed theory.     

线性时变周期系统的能控性与能稳定性问题

线性时变周期系统是一类普遍存在的重要而又研究较少的系统。介绍了线性时变周期系统的几种应用实例,给出了两种判定时变周期系统能控性与能观性的必要条件,该判别条件的优点是不必计算系统的状态转移矩阵,使判别时变周期系统能控性与能观性简单、高效、易于实现。讨论了时变周期系统在状态反馈下的能稳定性问题,得到了类似于线性定常系统能控性与能稳定性关系的时变周期系统相应结论。说明了结论是线性定常系统相应结论的自然拓展。给出了数值算例的MATLAB仿真求解过程。仿真结果验证了结论的有效性。     

项目团队的和谐能控性与和谐能观性分析

从和谐管理理论框架出发,基于项目团队系统的和谐状态模型,提出描述项目团队系统结构性质的两个概念-币口谐能控性与和谐能观性,并对其定义及适用的判别准则进行了详细的描述.分析项目团队的和谐能控性和和谐能观性,对于计算管理活动对项目团队、项目绩效的影响,优化项目团队构成具有重要的帮助,具有广泛的应用空间.     

一类线性切换系统的能控性和能观测性的充要条件

循环不变子空间是常用于控制科学和信号处理理论的重要数学工具之一。用循环不变子空间的性质研究了切换系统的能控性和能观测性。先给出了切换系统能控性、能达性和能观测性的概念,并讨论了循环不变子空间的性质。然后用循环不变子空间的性质研究了周期线性切换系统的能控制性、能达性及能观测性,得到线性周期切换系统完全能控和完全能观测的充分必要条件。最后给出一般线性切换系统完全能控和完全能观测的充分条件和必要条件。     

Recent progress on controllability/observability for systems governed by partial differential equations

<正> The main purpose of this paper is to overview some recent methods and results on controllability/observability problems for systems governed by partial differential equations.First,the authorsreview the theory for linear partial differential equations,including the iteration method for the nullcontrollability of the time-invariant heat equation and the Rellich-type multiplier method for the exactcontrollability of the time-invariant wave equation,and especially a unified controllability/observabilitytheory for parabolic and hyperbolic equations based on a global Carleman estimate.Then,the authorspresent sharp global controllability results for both semi-linear parabolic and hyperbolic equations,based on linearization approach,sharp observability estimates for the corresponding linearized systemsand the fixed point argument.Finally,the authors survey the local null controllability resultfor a class of quasilinear parabolic equations based on the global Carleman estimate,and the localexact controllability result for general hyperbolic equations based on a new unbounded perturbationtechnique.     

Null controllability of some degenerate wave equations

This paper is devoted to a study of the null controllability problems for one-dimensional linear degenerate wave equations through a boundary controller. First, the well-posedness of linear degenerate wave equations is discussed. Then the null controllability of some degenerate wave equations is established, when a control acts on the non-degenerate boundary. Different from the known controllability results in the case that a control acts on the degenerate boundary, any initial value in state space is controllable in this case. Also, an explicit expression for the controllability time is given. Furthermore, a counterexample on the controllability is given for some other degenerate wave equations.     

挠性结构振动控制中压电致动器/敏感器的优化配置

针对挠性结构的主动振动控制问题,给出了粘贴有若干压电片的挠性梁的数学模型。基于结构模态的可控可观性,提出一种压电致动器/敏感器同位位置的优化方法。该方法利用模态在可控可观性子空间上的正交投影来反映可控可观性的测度,并根据各阶模态在系统输出中的相对重要程度加权模态可控可观测性测度,由此得到致动器/敏感器的优化配置指标。通过数学仿证明了该优化方法的有效性。     

Approximate Controllability for Degenerate Heat Equation with Bilinear Control

This paper investigates the nonnegative approximate controllability for the one-dimensional degenerate heat equation governed by bilinear control. Both non-controllability and approximate controllability are studied for the system. If the control is restricted to act on a fixed domain, it is not controllable. If the control is allowed to mobile, it is approximately controllable.     

状态空间设计方法的CAD

本文介绍状态空间设计方法的CAD软件工具,通过化Yokoyama或Hessenberg能控、能观标准型,分析系统的能控性和能观性,给出了状态反馈极点配置及观测器设计和输出反馈极点配置设计。     

EIGENSTRUCTURE ASSIGNMENT VIA DYNAMIC OUTPUT FEEDBACK

ThisresearchissupportedbytheNationalNaturalScienceFOundationandthePostdoctoralScienceFOundationofChina.feedback,controllability,observability.1.IntroductionEigenstructureassignment,asoneofthemostfundamentalproblemsinmoderncontroltheroy,wasstudiedextensivelyinthepast.Theassignabilityconditionsviastatefeedbackandpracticalalgorithmshavebeengiven[1--41.Inrecentyearsgtheproblemintheoutputfeedbackcasehasbeendiscussed.[51studiedthisproblembyusingtheconceptof(A,B)characteristicsubspace.[6--8]putt…     

Controllability and Observability of Stochastic Singular Systems in Banach Spaces

Journal of Systems Science and Complexity - Exact (approximate) controllability and exact (approximate) observability of stochastic singular systems in Banach spaces are discussed. Firstly, the...     

基于LQG的弹性倒立摆动态稳定性控制

机械系统的轻量化,将使其材料弹性刚度减弱,从而导致系统振动加剧。为了实现对具有弹性的不稳定机械系统的控制,对弹性倒立摆的动态稳定性控制进行了研究。通过动力学分析,建立了车型弹性倒立摆系统的动力学控制模型,并对系统进行了线性化和可控、可观性分析。利用线性二次高斯(linear quadratic Gaussian,LQG)控制方法对其进行动态稳定性控制。相应的仿真研究和实时控制结果证明,该系统具有良好的控制效果和鲁棒稳定性。     

On controllability for stochastic control systems when the coefficient is time-variant

<正> This paper investigates the controllability problem of time-variant linear stochastic controlsystems.A sufficient and necessary condition is established for stochastic exact controllability,whichprovides a useful algebraic criterion for stochastic control systems.Furthermore,when the stochasticsystems degenerate to deterministic systems,the algebraic criterion becomes the counterpart for thecomplete controllability of deterministic control systems.     

乘数-加速数模型的稳定性与宏观调控政策

利用我国统计数据，建立了一个修正的萨缪尔森(Samuelson)乘数一加速数模型．在此基础上，对我国宏观经济系统的稳定性、能观性、能控性进行了讨论，结果表明，经济系统从不稳定到稳定需要加大消费和投资的力度，尤其应该刺激消费．从一个侧面论证了我国近年来宏观经济调控政策的正确性．     

An Impulse Weakly Observability of Generalized Linear Systems

1.INTRODUCTIONConsiderthelineartime-invariantsystemsWhereE,AeRI"",BERI"",CeR"""jDERrxm.Vt6R :=to' OO),x(t)ER",u(t)6Re,y(t)6R",Herenoregularityassumptionofthepencil[E,A]ismade,i.e.,detIsE--AImaybeZero'polynomial.SincetheworkofRosenbrock[if,alotofcontributionhasbeenmadetosuch.systems,whichhJD=B=0,thestructuresofinfiniteandfinitezerosarecharacterized[21,observabilityandstrongobser.vabilityareanalyzed[3].TothecaseofD=0,regularizabilityofsingularsystemsisproved[61,interiorgeometr…     

发汗控制第三边值问题解的稳定性

本文研究文献［１］导出的一类活动边界域上分布参数非线性控制系统，其背景是热防护中的发汗冷却系统。这类系统有第三类边界条件：活动的外边界。在域内还可以出现活动的弱间断面，文献［１］从计算机仿真证明了一维系统的适定性、稳定性、可测性和可控性，文献［２］、［３］从理论上证明了第二类边界条件下系统的解的存在性、唯一性和稳定性。本文证明了第三类边界条件下系统解的存在性、唯一性以及解的稳定性。     

条件数在系统可观测性分析中的应用研究

提出了一种使用条件数来定量分析系统可观测性的新方法。该方法克服了传统可观测分析方法不能定量地分析系统可观测性的缺点,它不仅可以定量地时不变系统的可观测性,而且通过多量测估计和构建局部可观测矩阵的方法,还可以定量地分析时变系统在任意时间段内的可观测性能。同时给出了分析、计算实例。     

The Controllability of Cartesian Flexible Robot System

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CONTROLLABILITY OF EVOLUTION INCLUSIONS WITH NONLOCAL CONDITIONS

In this paper we examine controllability problems of evolution inclusions with nonlocal conditions. Using Kakutani‘s fixed point theorem and Schauder‘s fixed point the-orem, we establish sufficient conditions for the controllability under convex and nonconvex orientor fields respectively.