Characteristic polynomial assignment in F-M model Ⅱ of 2-D systems

The problems of characteristic polynomial assignment in Fornasini-Marchesini (F-M) model Ⅱ of 2-D systems are investigated. The corresponding closed-loop systems described by F-M model Ⅱ are obtained via the state feedback.Using the algebraic geometry method, the characteristic polynomial assignment in the closed-loop systems is discussed. In terms of the theory of algebraic geometry, the problem of characteristic polynomial assignment is transferred to the one whether a rational mapping is onto. Sufficient conditions for almost arbitrary assignment coefficients of characteristic polynomial in F-M model Ⅱ of 2-D systems via state feedback are derived, and they are available for multi-input cases. It also has been shown that this method can be applied to assign the characteristic polynomial with output feedback. The sufficient conditions for almost arbitrary assignment coefficients of characteristic polynomial of multi-input 2-D systems described by F-M model Ⅱ with output feedback are established.     

线性系统同时极点配置的代数几何方法

利用代数几何方法,研究两个线性系统状态反馈和输出反馈同时极点配置问题。通过讨论代数几何中的有理映射是否为到上的,来判别线性系统的特征多项式的系数可否几乎任意配置,从而推导出两个线性系统状态反馈和输出反馈同时极点配置的充分条件。将此结论应用到同时镇定问题上,得到了两个线性系统同时镇定的充分条件,并证明了如果两个线性系统存在复反馈同时配置极点,则一定存在实反馈同时配置极点。     

THE POLE ASSIGNMENT OF LINEAR SYSTEMS

In this paper the pole assignment problem of a time invariant linear control system issolved by using the Wu Elimination Method.In general,the questions are classified into(i)the poleassignment by using state feedback,(ii)the pole assignment by using output feedback,(iii)the poleassignment via dynamic compensator.The key point of all these problems is to solve a certaincorresponding system of polynomial equations.Based on algebraic geometry,the Wu methodprovides a mechanical algorithm for solving the system of polynomial equations.Therefore,a unifieddefinite algorithm for solving all these problems is given in this paper.During the procedure ofelimination,the unknowns are automatically separated into parameters and apparent variables.Thus,the freedom of the corresponding feedback can be defined as the number of parameters.Meanwhile,the explicit expressions of the apparent variables depending on the parameters areobtained.     

Multiple targets vector miss distance measurement accuracy based on 2-D assignment algorithms

An extension of 2-D assignment approach is proposed for measurement-to-target association for improving multiple targets vector miss distance measurement accuracy. When the multiple targets move so closely, the measurements can not be fully resolved due to finite resolution. The proposed method adopts an auction algorithm to compute the feasible measurement-to-target assignment with unresolved measurements for solving this 2-D assignment problem. Computer simulation results demonstrate the effectiveness and feasibility of this method.     

Robust极点配置及其优化算法

本文提出了一个线性系统极点配置的有效算法,首先利用正交变换将能控系统简化成上Hessenberg能控标准型,然后利用(A,B)特征子空间找出闭环系统关于指定复数集所有可能的特征向量,从中选取一组线性无关的向量{x_1,…x_n}作为闭环系统的特征向量,使得max{c_k,k∈n}极小,最后由x={x_1,…x_n}找出反馈阵F,使得闭环系统(A+BF,B)的极点集等于L。     

振动二阶线性系统的鲁棒特征结构配置设计及其仿真

考虑了振动二阶线性系统的鲁棒特征结构配置设计问题。基于振动矩阵方程的参数化解,提出了振动二阶线性系统的状态反馈特征结构配置设计参数化方法。该参数化方法给出了状态反馈控制律的参数化表达式,其所含参数向量为控制系统设计提供了全部自由度。利用该参数化法提供的自由度,给出了振动二阶线性系统鲁棒特征结构配置问题的优化求解方法,其中优化的是衡量系统鲁棒性的灵敏度指标。数值算例及其仿真结果表明,所提振动二阶线性系统的状态反馈特征结构配置算法和鲁棒特征结构配置算法简单且有效,便于工程应用。     

广义线性系统鲁棒极点配置分离原理

针对广义线性系统,提出了基于全维观测器的控制系统设计的鲁棒极点配置分离原理。基于矩阵灵敏度理论证明了如下事实:与状态反馈系统相同的闭环系统极点具有和状态反馈系统极点相同的极点灵敏度。与观测器系统相同的闭环系统极点具有和观测器系统极点相同的极点灵敏度。于是全维观测器的状态反馈控制器中具有最小灵敏度的鲁棒极点配置,可以通过求解两个分开的鲁棒状态反馈极点配置问题实现。     

Stability Test for 2-D Continuous-Discrete Systems

Models of 2-D continuous-discrete systems are introduced, which can be used to describe some complex systems. Different from classical 2-D continuous systems or 2-D discrete systems, the asymptotic stability of the continuous-discrete systems is determined by Hurwitz-Schur stability (hybrid one) of 2-D characteristic polynomials of the systems. An algebraic algorithm with simpler test procedure for Hurwitz-Schur stability test of 2-D polynomials is developed. An example to illustrate the applications of the test approach is provided.     

基于组合优化分配的多传感器数据互联

在建立多传感器系统现测表达和互联似然比测度的基础上,多传感器多目标数据互联被表达为多重组合最优分配问题.利用一个具有多项式时间复杂度的次优算法,多重分配的方法被应用到由雷达和红外所组成的异类多传感器数据融合系统之中,实现了其中的多目标互联.     

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。     

CYCLE TIMES ASSIGNMENT OF NONLINEAR DISCRETE EVENT DYNAMIC SYSTEMS

1. IntroductionThe problem on poles assignment of DEDS which is described by linear system over max algebra, is solved 11'2]. In recent years, because of large range digital circuit requirement, nonlinearsystem theory over max algebra is expanding. G. J. Olsderl3] studied the fiXed point problem.J. G..awardenal4--6]-- dean of Basic Research institute in the Mathematics Sciences in HewlettPackard Laboratories studied a series of problems on autonomous systems, put forwardly1 andin 199716]…     

飞机舵机电动加载系统多余力矩抑制方法

针对飞机舵机电动加载系统存在多余力矩干扰的问题,提出了以改进型基于信度分配的小脑模型关节控制器为前馈控制,以增量式比例积分微分(proportion integral derivative,PID)为反馈控制的复合控制策略。在前馈控制器中,结合变刚度金属——橡胶缓冲弹簧、力矩测速反馈及梯度加载法,采用基于Sigmoid函数变平衡学习常数的权值调整算法,设计三维参考输入型神经网络结构。在反馈控制器中,采用增量式PID控制解决积分项溢出问题,同时为神经网络提供训练学习样本,最后通过理论分析证明改进算法的收敛特性及闭环系统的稳定性。仿真结果表明,该方法提高了系统的加载精度及在线实时控制能力,在一定程度上抑制了多余力矩干扰。     

三站无源定位系统数据关联算法

全局最优量测数据关联算法是无源定位技术中的关键问题。针对三站无源定位系统全局最优数据关联的三维（3-D）分配问题，提出一种新的直接求解算法——启发式消元算法。该算法通过直接对代价矩阵的元素进行启发式消元，得到分配问题的最优解。给出算法相关原理的分析和证明以及算法的具体步骤。并将其应用于三部光电被动传感器多目标无源定位系统两级数据关联算法的第二级关联过程中。对启发式消元算法和求解3一D分配问题的近似最优求解算法——拉格朗日松弛算法的算法复杂性进行了分析对比。理论分析和仿真实验均表明，该算法较适合与两级关联算法联合使用。与拉格朗日松弛算法相比。该算法计算量小。便于实现。是一种新的、有效的全局最优数据关联算法。     

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．     

On the Role of Zeros in the Pole Assignment of Scalar High-Order Fully Actuated Linear Systems

Journal of Systems Science and Complexity - It is well known that for a linear system in state space form, controllability is equivalent to arbitrary pole assignment by state feedback. This brief...     

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…     

基于粒子群优化的三维突防航迹规划仿真研究

提出了一种基于粒子群优化的三维突防航迹规划方法并进行了仿真验证。通过引入最小威胁曲面的概念生成三维航迹搜索空间,利用一个有限项的多项式函数来逼近最小威胁曲面中的三维航迹在二维水平面内的投影,从而原来的规划问题简化为在一个一元函数多项式系数空间中的搜索寻优。利用粒子群优化,将约束条件和搜索算法相结合,能有效减小搜索空间,提高效率。仿真结果表明,生成的航迹具有地形跟随、地形回避和威胁回避的功能。     

On state feedback and pole assignment of the second order coupled singular distributed parameter systems in Hilbert space

State feedback and pole assignment of the second order coupled singular distributed parameter systems are discussed via functional analysis and operator theory in Hilbert space, in which infinite many poles are changed. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the pole assignment and stabilization of the singular distributed parameter systems.     

不确定二阶动力学系统的鲁棒特征结构配置设计

考虑了一类具有参数摄动的二阶动力学系统通过比例加微分反馈控制的鲁棒特征结构配置设计问题。首先利用定常二阶动力学系统的比例加微分反馈特征结构配置参数化方法提供的自由度,将鲁棒特征结构配置问题转化为具有约束条件的优化问题。在此基础上,给出了求解该优化问题的算法,即鲁棒特征结构配置算法。数值例子及仿真结果表明,该算法对参数摄动二阶动力学系统鲁棒性设计的简单及有效性。     

高速再入飞行器的鲁棒自动驾驶仪设计

针对高速再入飞行器的自动驾驶仪设计问题,基于鲁棒参数化方法,采用特征结构配置和模型参考跟踪理论设计BTT飞行器姿态控制系统的鲁棒控制器,完成对于制导信号的快速跟踪。本设计的鲁棒镇定器是一个不随滚动角速度变化也无需切换的定常反馈镇定律,结构简单,便于工程实现。通过分析高速再入飞行器的特点,给出了简单可行的控制方案。将所设计的控制器应用于飞行器非线性模型进行了六自由度仿真试验。仿真时考虑了系统执行机构的时滞和饱和特性。仿真结果验证了所设计的控制器的有效性。