多输入-多输出线性系统有限时间观测器设计方法

基于有限时间稳定理论,给出了完全能观测的多输入-多输出线性系统的有限时间观测器的设计方法.所设计的观测器在有限时间后实现了对系统状态的精确重构.数值仿真实验验证了本方法的正确性.     

多输入-多输出线性系统有限时间观测器设计方法

基于有限时间稳定理论,给出了完全能观测的多输入一多输出线性系统的有限时间观测器的设计方法．所设计的观测器在有限时间后实现了对系统状态的精确重构．数值仿真实验验证了本方法的正确性．     

具有饱和输入的线性系统的全局镇定

通过对具有饱和输入的线性系统的全局镇定问题的研究,得到了这种系统可利用线性状态反馈全局镇定的一个充分条件,并且证明了其线性反馈控制律可以通过求解代数Ｒｉｃｃａｔｉ方程得到。     

含未知输入的线性离散系统的状态观测器

研究了含未知输入的线性离散系统的全阶状态观测器,给出了观测器存在的充要条件和设计方法：设计一个干扰解耦观测器,用观测器的状态与系统输出估计线性离散系统的状态。     

具有未知输入干扰的比例积分观测器的改进设计

提出对未知输入干扰采用比例积分的估计方法．该观测器不仅包含误差估计的比例和积分回路，而且在未知输入干扰的估计中增加了比例环节，实现了状态估计，加速和改善了对未知输入干扰的估计效果．同时引入H∞跟踪性能指标，给出了观测器的设计过程，得到了估计误差的上界，并且该估计误差的上界与所设计的待定参数无关．最后通过仿真实例证明了本文方法的有效性．     

线性系统的延伸系统

研究了线性系统和它的延伸系统的能控性之间的关系以及它们的能观测性之间的关系。     

一种广义离散随机线性系统的状态估计

针对目前关于广义系统状态估计的研究现状，即几乎所有的讨论都集中在奇异矩阵为方阵的情况，讨论了广义矩阵及其性质，利用矩阵的奇异值分解理论，给出了奇异矩阵为条形或带形广义离散线性系统的奇异值标准形式，基于标准形式，利用广义逆矩阵的性质，在两种情况下，将系统分解成两个子系统，通过估计子系统的状态，得到了该系统状态的最优预测和滤波递推方程。结果表明，对于广义系统，该方法有效地减少了计算量。     

线性系统超调的控制模型

给出了判别自动化控制系统在设定值变更或大扰动下是否会出现超调的一个控制模型。仿真例子说明了研究的结果及其应用。     

奇异线性系统的状态反馈特征结构配置

本文讨论了利用状态反馈实现奇异线性系统的闭环特征结构配置问题,给出了问题的充要条件,建立了问题的解集合关于闭环特征值和一组参向量的参量表示,给出了简单有效的算法。一个数值例子证明了本文方法的有效性。     

Eigenstructure assignment of lower-order dynamical compensators for linear systems with unknown inputs

0　ＩＮＴＲＯＤＵＣＴＩＯＮＴｈｅｐｒｏｂｌｅｍｓｏｆｓｔａｔｅｓｅｓｔｉｍａｔｉｏｎｆｏｒｌｉｎｅａｒｓｙｓｔｅｍｓｗｉｔｈｕｎｋｎｏｗｎｉｎｐｕｔｓｗｅｒｅｉｎｖｅｓｔｉｇａｔｅｄｂｙｍａｎｙｒｅｓｅａｒｃｈ ｅｒｓｒｅｃｅｎｔｌｙ[1～ 4 ] ,Ｔｈｅｍａｉｎａｄｖａｎｔａｇｅｉｓｔｈａｔｔｈｅｅｓｔｉｍａ ｔｉｏｎｅｒｒｏｒｖｅｃｔｏｒａｐｐｒｏａｃｈｅｓｚｅｒｏａｓｙｍｐｔｏｔｉｃａｌｌｙｒｅｇａｒｄｌｅｓｓｏｆｔｈｅｐｒｅｓｅｎｃｅｏｆｕｎｋｎｏｗｎｉｎｐｕｔ(ｄｉｓｔｕｒｂａｎｃｅ)ｉｎｔｈ…     

Retraction control of motorized seat belt system with linear state observer

A design and verification of linear state observers which estimate state information such as angular velocity and load torque for retraction control of the motorized seat belt (MSB) system were described. The motorized seat belt system provides functions to protect passengers and improve passenger’s convenience. Each MSB function has its own required belt tension which is determined by the function’s purpose. To realize the MSB functions, state information, such as seat belt winding velocity and seat belt tension are required. Using a linear state observer, the state information for MSB operations can be estimated without sensors. To design the linear state observer, the motorized seat belt system is analyzed and represented as a state space model which contains load torque as an augmented state. Based on the state space model, a linear state observer was designed and verified by experiments. Also, the retraction control of the MSB algorithm using linear state observer was designed and verified on the test bench. With the designed retraction control algorithm using the linear state observer, it is possible to realize various types of MSB functions.     

带遗忘因子的线性系统自适应观测器设计

针对状态方程和输出方程同时含有未知参数的多输入-多输出连续线性时变系统,采用构造性方法设计一种带指数遗忘因子的自适应观测器.证明当系统无噪声时该自适应观测器的全局指数收敛性,在此基础上考虑有噪声系统,在若干假设成立的条件下证明了该自适应观测器的估计误差均值也是全局指数收敛于0的.该自适应观测器采用带指数遗忘因子的时变增益矩阵,以自适应的方式克服噪声的影响,改善了估计的一致性.数值仿真结果表明,该自适应观测器具有良好的快速收敛性、跟踪性及抗干扰性等期望性能.     

二阶线性系统的仿真分析

二阶线性系统的应用非常广泛，传统的分析方法是数学分析法．章利用仿真的方法，主要研究了在给定典型输入信号下如何求取系统的输出信号并进行了分析，得出了二阶线性系统的响应随阻尼比不同而变化的情况，以及当自然频率的值减小时，脉冲响应的幅度也随着减小，响应的速度也将降低,反之亦然．     

Design of a robust H∞ full-order observer about the nonlinear singular perturbed random jumping system

The design of the robust H_∞ full-order observer about the nonlinear singular perturbed system is investigated. Based on the Lyapunov stability theory, for the singular perturbed random jumping system in which the observation equation has the Lipschitz nonlinear item, the matrix that deals with the stochastic stability of such a random system is given, and the robust full-order observer in which the estimated error has H_∞ performance is designed and the observer gain is computed. The singular system and the singular perturbed system differ in that this method in our paper considers the effect of small time parameter, which is not neglected, and the small time parameter upper bound that allows theH_∞ error is computed. Finally the result validates the correctness and the availability of this method.     

The identification algorithm time-invariant for commensurate order linear fractional systems

An efficient identification algorithm is given for commensurate order linear time - invariant fractional systems. This algorithm can identify not only model coefficients of the system, but also its differential order at the same time. The basic idea is to change the system matrix into a diagonal one through basis transformation. This makes it possible to turn the system＇ s input-output relationships into the summation of several simple subsystems, and after the identification of these subsystems, the whole identification system is obtained which is algebraically equivalent to the former system. Finally an identification example verifies the effectiveness of the method previously mentioned.     

The identification algorithm for commensurate order linear time-invariant fractional systems

Recently the focus of interest toward factional cal-culus and fractional systems became increasingly heat-ed. One of the important reasons is that many real phe-nomena, such as electrochemistry[1], heat conduc-tion[2], diffusion[3], and viscoelasticity[4], are wellsuited to be represented by fractional systems, i.e. itconforms to the real situations better if the order ofthese systems is non-integer rather than integer. For theidentification of integer order systems, there are manymature algor…     

双反对称的线性方程组的迭代算法

充分利用双反对称矩阵的性质,研究了双反对称的线性方程组Ax=b的迭代算法,给出求方程解的迭代算法.通过2个数值例子说明算法是可行有效的。