能控（观）广义系统集的拓扑结构*

本文讨论了能控(观)广义系统集的开性和稠密性,并从能控(观)正则系统集的拓扑结构出发,讨论了相应的广义系统集的连通性,得到了较好的结果,从而将有关正则系统的结果推广到了广义系统。     

线性时变广义系统的能控性与能观性问题

讨论了线性时变系统和线性时变广义系统的两个基本问题, 得到了两种判定时变系统能控性与能观性的必要条件, 该判定条件只依赖于系统矩阵A(t)和输入矩阵B(t), 不必计算系统的系统状态转移矩阵, 使得判别时变系统能控性与能观性易于实现. 说明了本文结论是线性定常系统相应结论的自然扩展. 对进一步深入研究时变系统和时变广义系统具有实际启发作用.     

感应电动机系统的能控性与能观测性分析

分析了感应电动机系统的能控性与能观测性。结果表明系统是弱能控与弱能观的。而且,采用非线性状态反馈解耦控制和非线性坐标变换后的局部闭环解耦线性系统是能控与能观的。     

广义区间动力系统的能控性

讨论了广义区间动力系统正则性、I-能控与C-能控问题.由于上述问题等价于判别某 个区间矩阵为列满秩,首先得到判别区间矩阵为列满秩的充分条件与充分必要条件,进一步得 到了判别广义区间系统为正则的充分必要条件、I-能控的充分条件与C-能控的充分必要条件. 通过数值实例说明所得到的结果相对于已有结果更具有一般性及有效性.由对偶原理,得到相 应的能观性的判据.     

一类离散非方广义系统的能控性与能观性

本文针对一类离散非方广义系统模型,引入乘子得到其逆等矩阵模型,并进一步判断该类系统模型的完全能控性、能达能控性、完全能观性、能达能观性以及之间的对偶关系。     

网络调度中的能控性与能观性研究

为了研究网络调度对能控性与能观性的影响,对输入、输出通道都存在通信约束的网络控制系统的调度进行建模;利用通信序列表示通道的调度情况,最终将模型转化为离散切换系统;在静态调度下,利用循环不变子空间理论及其相关的性质,给出了网络控制系统能控性、能观性成立的充要条件,并给出了原有控制系统与经网络静态调度后的系统之间能控性、能观性的关系;最后用仿真实例说明了所提结论的正确性。     

布尔控制网络的能控性与能观性

利用矩阵的半张量积,布尔控制网络被转化为离散时间系统.本文从离散时间系统的结构矩阵出发,讨论了逻辑控制系统的能控能观性条件,得到了一个新的能控性条件.新的条件简化了原有能控性矩阵的计算复杂性,矩阵的最高阶数由原来的2m+n降到了2n.另外,还得到了检验布尔控制网络能观性的条件.与原有条件相比,新的条件更容易计算检验.最后,给出一个实例,检验给出的能控能观性判断条件的正确性.     

广义系统能控性的几个注记

本文首先给出了广义系统能控性与正常系统能控性的关系,并由此讨论了广义系统最优 经济结构综合问题及能控性程度的度量形式.最后给出了工程算例.     

一类连续时间广义边值系统的能控性和能观性

连续时间广义边值系统被描述为Ｅｘ（ｔ）＝Ａｘ（ｔ）＋Ｂｕ（ｔ），Ｖ０ｘ（０）＋Ｖｒｘ（Ｔ）＝ｖ，其中Ｅ是奇异方阵，ｕ（ｔ）满足任意次可微，本文讨论了一类连续时间广义边值系统的有关向内和向外边值过程的两个重要概念，并在此基础上给出了能控性和能观性定义和判别准则．     

互联大系统能控能观性模型简化

不能控不能观系统可以集结成为一个能观但不能控的系统,这是传统的结论。本文提出一种旨在改变系统结构的新集结方法,可以把不能控和/或不能观系统集结成为具有相同输入输出关系且能控能观系统。并利用此结果对互联大系统进行分散能控能观性模型简化,并且给出若干重要理论结果和算法。     

线性系统能控性、能观测性的数值判断

本文讨论数字计算机判断线性、时不变系统能控性,能观测性的问题。引入了矩阵数值秩的概念以及通过奇异值判断矩阵数值秩的方法。在此基础上给出了线性系统能控性、能观测性数值判断的概念和方法。以Schuler平台的初始对准问题为例说明了这一方法。利用奇异值扰动的性质,进行了系统能控性,能观测性的鲁棒性分析。     

Observability conditions of switched linear singular systems

The observability problem of switched linear singular(SLS) systems is studied in this paper. Based on the observability definition, the unobservable subspaces of given switching laws are investigated under the condition that all subsystems are regular. A necessary condition and a sufficient condition for observability of SLS systems are given. It is shown that the observability and controllability are dual for some special SLS systems with circulatory switching laws. The method developed here is applicable to the observability analysis of normal switched linear systems.     

Observability conditions of switched linear singular systems

The observability problem of switched linear singular(SLS) systems is studied in this paper. Based on the observability definition, the unobservable subspaces of given switching laws are investigated under the condition that all subsystems are regular. A necessary condition and a sufficient condition for observability of SLS systems are given. It is shown that the observability and controllability are dual for some special SLS systems with circulatory switching laws. The method developed here is applicable to the observability analysis of normal switched linear systems.     

Controllability and observability of linear time varying singularsystems

Controllability and observability of analytically solvable linear time varying singular systems are considered. Our analysis includes the possible impulsive zero-input response. Based on the definitions of controllability and observability naturally extended from the ones adopted in the time-invariant setting, sufficient and necessary conditions for these two properties are derived. Furthermore, according to the specific definitions of these concepts used here, the authors show that the dual relationship between controllability and observability does not hold     

Impulse Analysis of Linear Time-Varying Singular Systems

Impulsive part of solution to initial value problem of linear time-varying singular systems is given explicitly. Impulse observability and impulse controllability for the systems are redefined     

CONTROLLABILITY OF A CLASS OF SINGULAR SYSTEMS

In this paper, several different concepts of controllability are investigated for a class of linear singular systems which system parameters are piecewise constant. Necessary and sufficient geometric criteria for C‐controllability and R‐controllability of such systems are established, respectively. These conditions can be easily transformed into algebraic form. By applying the principle of duality, C‐observability is discussed as well. Furthermore, the intrinsic relationship between these results and existing results are also discussed. Then, a novel necessary, and sufficient criterion for C‐controllability of linear time‐invariant singular systems is derived as a byproduct.     

Hamiltonian realizations of nonlinear adjoint operators

This paper addresses the issue of state-space realizations for nonlinear adjoint operators. In particular, the relationships between nonlinear Hilbert adjoint operators, Hamiltonian extensions and port-controlled Hamiltonian systems are established. Then, characterizations of the adjoints of controllability, observability and Hankel operators are derived from this analysis. The state-space realizations of such adjoint operators provide new insights on singular value analysis and duality issues in nonlinear control systems theory. Finally, a duality between the controllability and observability energy functions is proved.     

广义动态系统的微分算子矩阵方法

本文用微分算子矩阵方法讨论了一类广义动态系统的结构性质,并且用微分算子多项式 矩阵的系数阵,给出了各类动态系统能控(观)性的直接判据.它是用微分算子矩阵方法研究 广义动态系统的开端.