2－D广义Roesser模型的约化

本文讨论了将２－Ｄ广义Ｒｏｅｓｓｅｒ模型化成正常模型以及将非主项系统化成主项系统的问题，给出了解决这些问题的几个判别条件和具体方法，然后以实例对结果进行了说明．本文给出的各种方法主要是通过系统的等价变换，计算量不大．     

Decentralized Bezout Identity and a Parametrization of Decentralized Controllers for Singular Systems

1　 IntroductionConsider a singular decentralized control system of the formEx(t) =Ax(t) ∑Ni=1Biui(t)yi =Cix(t) ,i∈ N ={ 1 ,2 ,… ,N}(1 )where x(t)∈ Rn is the state vector,ui(t)∈ Rmi and yi(t)∈ Rpi are respectively the localcontrol input and measure outputvectors of the ith control channel.The matrix E may besingular,i.e.,rank(E) 相似文献   

Normal Decentralized Dynamic Compensators' Design for Singular Decentralized Control Systems

１ＩｎｔｒｏｄｕｃｔｉｏｎＤｕｒｉｎｇｔｈｅｌａｓｔｔｅｎｙｅａｒｓ，ｃｏｎｓｉｄｅｒａｂｌｅａｔｅｎｔｉｏｎｈａｓｂｅｅｎｄｅｖｏｔｅｄｔｏｓｉｎｇｕｌａｒｄｅｃｅｎｔｒａｌｉｚｅｄｃｏｎｔｒｏｌｓｙｓｔｅｍｓ（ＳＤＣＳ）．Ｔｈｅｃｏｎｃｅｐｔｓｏ...     

离散广义双线性系统的稳定控制分析

讨论了离散广义双线性系统稳定控制问题。研究了离散广义双线性系统稳定控制存在的条件,并给出了相应的控制方案。所采用的方法是利用广义系统分解,运用Lyapunov方法证明线性状态控制可以使闭环系统在原点附近渐近稳定。同时研究了不分解系统,通过构造广义李雅普诺夫函数的方法,给出了使闭环系统稳定的条件。对于离散广义双线性系统有关理论的证明,可以看作是正常离散双线性系统的拓广。     

HEAVY TRAFFIC LIMIT THEOREMS IN FLUID BUFFER MODELS

A fluid buffer model with Markov modulated input-output rates is considered.When traffic intensity is near its critical value, the system is known as in heavy traffic.It is shown that a suitably scaled sequence of the equilibrium buffer contents has a weakor distributional limit under heavy traffic conditions. This weak limit is a functional of adiffusion process determined by the Markov chain modulating the input and output rates.The first passage time of the reflected process is examined. It is shown that the mean firstpassage time can be obtained via a solution of a Dirichlet problem. Then the transitiondensity of the reflected process is derived by solving the Kolmogorov forward equation witha Neumann boundary condition. Furthermore, when the fast changing part of the generatorof the Markov chain is a constant matrix, the representation of the probability distributionof the reflected process is derived. Upper and lower bounds of the probability distributionare also obtained by means of asymptotic e     

Delay-dependent state feedback robust stabilization for uncertain singular time-delay systems

The problem of robust stabilization for uncertain singular time-delay systems is studied. First, a new delay-dependent asymptotic stability criteria for normal singular time-delay systems is given, which is less conservative. Using this result, the problem of state feedback robust stabilization for uncertain singular time-delay systems is discussed, Finally, two examples are given to illustrate the effectiveness of the results.     

Delay-dependent state feedback robust stabilization for uncertain singular time-delay systems

The problem of robust stabilization for uncertain singular time-delay systems is studied.First,a new delay-dependent asymptotic stability criteria for normal singular time-delay systems is given,which is less conservative.Using this result,the problem of state feedback robust stabilization for uncertain singular time-delay systems is discussed.Finally,two examples are given to illustrate the effectiveness of the results.     

Robust H∞ control for a class of nonlinear singular system with uncertain parameters

The static output feedback H∞ control is explored for a class of nonlinear singular system with norm-bounded uncertainty. On certain suppose, the zero solution asymptotically stability is analyzed by means of Lyapunov function and Lyapunov stability theory. Based on which, a sufficient condition is presented such that the system is zero solution asymptotically stable and has H∞ norm constraint γ. Then, the static output feedback H∞ controller is designed to guarantee the resulting closed-loop system has the same performance. Finally, an example proves the effectiveness of the conclusion.     

不确定广义离散系统的鲁棒H-infinity控制

研究E矩阵,确定其它系数矩阵都存在满足范数有界条件的参数不确定性广义离散线性系统的鲁棒H∞控制问题。利用线性矩阵不等式方法,导出广义离散线性系统正则、因果、稳定且传递函数满足给定的范数界的等价条件。在此基础上,可以将广义不确定离散线性系统的状态反馈鲁棒H∞控制问题和输出反馈鲁棒H∞控制问题,分别转化为辅助广义确定性离散线性系统的状态反馈H∞控制问题和输出反馈H∞控制问题。     

广义连续随机线性系统的最优递推问题

讨论了广义连续随机线性系统的最优递推问题,利用矩阵的奇异值分解理论,给出了广义连续随机线性系统的奇异值标准形式,基于标准形式,在两种情况下,将系统分解成两个子系统,通过对子系统状态估计的研究,得到了该系统的最优递推方程。结果表明,对于广义系统,该方法有效地减少了计算量。     

微分代数方程系统标准奇异点的一个充分必要条件

标准奇异点是微分代数方程系统区别于常微分方程系统的一个标志性的拓扑结构,具有重要的理论研究意义。研究了微分代数方程系统的两种奇异点(几何奇异点和化数奇异点)的拓扑结构,给出了微分代数方程系统标准奇异点的定义,并证明了一个判定微分代数方程系统标准奇异点的充分必要条件。最后通过例子说明了该判别条件的有效性。     

时滞离散广义大系统的稳定性分析

从时滞离散广义大系统的满足容许条件的孤立子系统出发,利用李雅普诺夫方法,通过对关联矩阵、输入矩阵和非线性项加上范数有界约束条件,分别研究了时滞离散广义大系统的线性情形和非线性情形的稳定性问题。给出了时滞离散广义大系统的线性情形和非线性情形的稳定性判据,并且得到了关联稳定参数域。最后用数值例子说明所得稳定性判据的实用性和有效性。     

Monotone Iterative Technique for Boundary Value Problem of Second Order Singular Differential System

ＭｏｎｏｔｏｎｅＩｔｅｒａｔｉｖｅＴｅｃｈｎｉｑｕｅｆｏｒＢｏｕｎｄａｒｙＶａｌｕｅＰｒｏｂｌｅｍｏｆＳｅｃｏｎｄＯｒｄｅｒＳｉｎｇｕｌａｒＤｉｆｆｅｒｅｎｔｉａｌＳｙｓｔｅｍＷＡＮＧＷｅｉ；ＬＩＵＹｏｎｇｑｉｎｇ（Ｄｅｐｔ．ｏｆＡｕｔｏｍａｔｉｏｎ...     

A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS

A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar differential system is given, and hence the stability and the type of the singular point can be decided. These results generalize the corresponding results in [Nonlinearity, 13 （2000）, p.709].     

Exchange rate forecasting with optimum singular spectrum analysis

Forecasting exchange rate is undoubtedly an attractive and challenging issue that has been of interest in different domains for many years. The singular spectrum analysis （SSA） technique has been used as a promising technique for time series forecasting including exchange rate series. The SSA technique is based upon two main choices： Window length, L, and the number of singular values, r. These values are very important for the reconstruction stage and forecasting purposes. Here the authors consider an optimum version of the SSA technique for forecasting exchange rates. The forecasting performances of the SSA technique for one-step-ahead forecast of six exchange rate series are used to find the best L and r.     

The Stabilization of Discrete Time Singular VariableStructure System with Disturbance

ＴｈｅＳｔａｂｉｌｉｚａｔｉｏｎｏｆＤｉｓｃｒｅｔｅＴｉｍｅＳｉｎｇｕｌａｒＶａｒｉａｂｌｅＳｔｒｕｃｔｕｒｅ　Ｓｙｓｔｅｍ　ｗｉｔｈ　ＤｉｓｔｕｒｂａｎｃｅＴｈｅＳｔａｂｉｌｉｚａｔｉｏｎｏｆＤｉｓｃｒｅｔｅＴｉｍｅＳｉｎｇｕｌａｒＶａｒｉａｂｌｅ...     

广义离散系统保D-稳定的动态输出反馈H∞控制器设计

提出一种保证广义离散系统D-稳定性的严格真动态输出反馈H_∞控制器设计方法.首先,给出保证广义离散系统正则、因果、 D-稳定且从干扰到控制输出的传递函数满足H_∞范数约束的充分条件. 在此条件下,通过构造辅助广义系统,用两组矩阵不等式给出了控制器存在的充分条件,使得闭环系统是正则、因果、D-稳定且满足 H_∞范数约束,并给出控制器的解析表达式.同时,也给出了广义离散系统状态反馈H_∞控制器的一种设计方法.控制器可解性条件由系统的系数矩阵来表达,设计过程不需要系统矩阵分解,可避免因矩阵分解而产生的数值问题.     

State Estimation of Discrete Stochastic Singular System

1　 IntroductionIn the area of singular systems control much work has been done recently. The basictheory of singular systems has been proposed. A lot of results are obtained fordeterministic singluar systems[1～ 2 ] . However,only a few results are from stochasticsingular systems[3～ 5] ,in which attention is paid to time-invariant stochastic singularsystems. The state estimation and observation problems of time-invariant stochasticsingular systems have been discussed in[3 ] .The state estim…     

参数不确定广义时滞系统的保性能控制

针对状态时滞的参数不确定性广义系统,讨论了它的保性能控制问题。目的是对状态时滞的参数不确定广义系统,提出它的时滞无关保性能鲁棒控制器的一个设计方法。首先给出了广义时滞系统正则、脉冲自由且稳定的严格线性矩阵不等式表示的时滞无关充分条件;然后采用线性矩阵不等式方法,给出参数不确定性广义时滞系统的时滞无关保性能控制问题可解的一个严格线性矩阵不等式表示的充分条件,在此条件可解时,给出了时滞无关保性能鲁棒控制器表达式,以及相应的可保性能指标。最后给出了所提出方法的应用。     

奇异不确定性多时滞系统的二次稳定性与H∞控制

针对奇异不确定性多时滞系统,研究了其二次稳定性及H∞状态反馈控制器的设计.假定其中的不确定性是范数有界的,通过构造改进的Lyapunov泛函,给出了其二次稳定性及H∞状态反馈控制器存在的条件.仅通过求解相应的线性矩阵不等式(linear matrix inequality,LMI)就可得到鲁棒H∞控制器,设计的控制器对所有容许的不确定性不仅使得相应的闭环系统渐进稳定,也能保证闭环系统满足一定的H∞性能指标,达到抑制干扰的效果.最后,用数值算例及仿真验证了所给方法的有效性.