输出反馈二次型最优的可解性问题

本文研究了用输出反馈实现二次型最优控制的问题,指出任何最优输出反馈都是对应最优状态反馈的衍生解和在一般情况下最优输出反馈所满足的线性矩阵方程是不可解的.并讨论了输出矩阵含有待定参数的情形,给出了最优输出反馈存在的必要条件,对于单输入系统证明了该条件几乎是充分的.     

Euler-Bernoulli梁在自激励边界反馈下的动力行为

考虑一端固定 ,一端在 van der Pol自激励边界反馈下 Euler-Bernoulli梁的动力行为 .首先设计梁方程的有限元离散格式 ,然后对选定的初始条件计算振动能量的终极变化 .数值结果表明 ,当反馈增益常数由小到大变化时 ,振动能量的变化经历慢周期 ,快周期 ,混沌 ,然后再回到周期振动的过程 .为进一步的理论研究提供了直观的数值表示 .     

Euler-Bernoulli梁的非同位控制

对一端固定,一端加剪切力反馈的Euler-Bernoulli梁,运用Legendre谱方法对一个非同位控制系统进行研究,得到了最优反馈增益系数和系统衰减率.结果表明这样的非同位控制系统可以有效的增大系统衰减率,使系统具有更好的稳定性.同时指出所研究的系统是极小相位的.     

基于反馈回归法的用电量预测模型研究

多元线性回归法是用电量预测中常用的一种方法,带反馈的多元线性回归法是一种改进的回归方法,具有更高的精度.本文在此基础上进行了多次反馈,即利用带多次反馈的多元线性回归法,结合SPSS软件进行统计分析,并以陕西省用电量为例探究分析多次反馈的多元线性回归法在用电量预测中的应用,从而得到更精准的用电量预测模型.最后以四川省的用电量数据对模型进行了验证,体现出了该模型的优越之处.     

非均质Euler-Bernoulli梁的非线性耗散边界反馈镇定

讨论具有非线性耗散边界反馈的非均质Euler-Bernoulli梁的镇定问题．首先利用非线性半群理论和能量摄动方法，证明了文中所给出的非线性耗散边界反馈控制可以镇定闭环系统的能量，并导出了闭环系统的能量的衰减速度．     

带有反馈与起动故障的M/G/1重新访问排队系统的适定性分析

文章研究一个带有贝努利反馈且系统服务台经常遭受启动故障的重新访问排队系统模型,利用线性算子半群理论,通过对描述其系统行为的偏微分方程组的研究,证明了该模型所描述的系统所确定的算子是闭稠定耗散算子,生成C0压缩半群,从而得到系统的适定性.在证明1是算子的预解点时,采用了共轭方法.     

具有动态边界的非均匀Euler-Bernoulli梁的边界反馈镇定

本讨论一端带有重物的Euler-Bernoulli梁的边界反馈镇定问题。在生物的质量忽略不计而只考虑重物的转动惯量的情况下，证明了同时在梁的自由端施加力和力矩反馈，闭环系统的能量可被指数镇定。进而对于系统只有力反馈或只有力矩反馈的情况，得到了闭环系统（指数）稳定的充分必要条件。     

基于线性矩阵不等式的广义线性系统的静态输出反馈H∞控制器设计

本文利用线性矩阵不等式方法研究广义线性系统的静态输出反馈Ｈ∞控制器设计问题,基于线性矩阵不等式,给出静态输出反馈Ｈ∞控制器存在的充要条件,并利用线性矩阵不等式的解给出Ｈ∞控制器的设计方法。     

一个复合系统边界反馈的Riesz基性质

该文考虑一端固定 ,一端具负荷的梁的振动问题 .证明了线性反馈的闭环系统是一个 Riesz谱系统 ,即系统存在一列广义本征函数列构成状态空间的 Riesz基 .从而系统的谱确定增长条件成立 .在此过程中 ,简单的导出了系统本征值的渐近展开式 .并因此推论出系统的指数稳定性的条件     

一类不确定线性周期离散时间系统的分析与控制

讨论具有参数区间不确定性的线性周期离散时间系统的反馈控制问题,首先进行系统的鲁棒稳定性分析和镇定研究,分别给出了基于线性矩阵不等式的系统渐近稳定和状态反馈镇定的条件.接着研究系统的增益分析和控制综合问题,对于增益分析问题,得到一个基于线性矩阵不等式的条件,在该条件下,具有参数不确定性的线性周期自治系统渐近稳定,且有小于γ的增益,对于控制综合问题,导出基于线性不等式的条件,由该条件可以得到一个状态反馈器,使得闭环系统渐近稳定.且有小于γ的增益,所有这些条件都是充分必要的.     

Feedback Differential Invariants

The problem of feedback equivalence for control systems is considered. An algebra of differential invariants and criteria for the feedback equivalence for regular control systems are found.     

Output Feedback Stabilization of Discrete-Time Control Systems

In this paper, the stabilization problem for discrete-time systemsby means of an output feedback law is considered. SufficientLyapunov-like conditions as well as necessary conditions fornonlinear feedback stabilization are provided. Special emphasisis given to the linear case.     

Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large-Scale Systems with Delays via State Feedback and Output Feedback

The problem of robust guaranteed cost decentralized stabilization for uncertain discrete large-scale systems with delays is investigated in this paper. Sufficient conditions for the existence of the robust guaranteed cost decentralized controllers via memoryless state feedback and static output feedback are expressed as BMIs. Furthermore, alternate iterative algorithms are proposed to solve the feasible problems with BMI constrains. Numerical examples are given to illustrate effectiveness of the proposed methods.     

INFINITE DIMENSIONAL TRACKING OPTIMAL CONTROL VIA DYNAMIC OUTPUT FEEDBACK~*

This paper explores implemantation problems of infinite dimensional linear-quadratictracking optimal control.Based on the closed-loop result,a new formula of optimal controlexpressed by past-time state feedback is proved.From this,on the conditions of observa-bility,expressions of optimal control via dynamic output feedback are derived.The mainfeedback operator functions are given by solution of linear integral equations.     

混沌记忆系统的自适应反馈控制和轨迹跟踪控制

研究了混沌记忆系统的自适应反馈控制和基于反馈线性化的轨迹跟踪控制问题.首先,通过绘制系统的时域波形图和混沌吸引子图验证系统的复杂的动力学行为;然后,分别应用自适应反馈控制方法和基于反馈线性化的轨迹跟踪控制方法设计控制器,对系统施加控制;最后,通过数值仿真验证控制器的有效性.     

Feedback controlling against chaos

A P–D (Proportional plus Derivative) feedback controller is proposed for the control of chaotic dynamic systems. Using this feedback law the design requirement of command matching is satisfied independently of the perturbations of the initial conditions of the dynamic plant. The problem is solved for all nonlinear systems having independent inputs and independent performance variables. The controller is implemented without knowledge of the system’s initial conditions and thus it is independent of their perturbations.     

Feedback and Accessibility

We show that, for most control systems, smooth feedback lawsare insufficient to produce good accessibility properties, evenin a local sense.     

Feedback Control Methodologies for Nonlinear Systems

A number of computational methods have been proposed in the literature to design and synthesize feedback controls when the plant is modeled by nonlinear dynamics. However, it is not immediately clear which is the best method for a given problem; this may depend on the nature of the nonlinearities, size of the system, whether the amount of control used or time needed for the method is a concern, and other factors. In this paper, a comprehensive comparison study of five methods for the synthesis of nonlinear control systems is carried out. The performance of the methods on several test problems are studied, and some recommendations are made as to which feedback control method is best to use under various conditions.     

Feedback saddle point solution of counterterror measures and economic growth game

In this paper, the feedback Nash equilibrium solutions of the differential game between counterterror measures and economic growth are investigated. The Hamilton–Jacobi–Isaacs (HJI) equation is used to obtain the feedback saddle point of this zero-sum game. Moreover, the characteristics of the feedback strategies for the government and terrorist organization as well as their relationships with both resource states are analyzed.     

模糊时滞系统的输出反馈控制器设计

利用模糊T-S模型对一类非线性时滞系统进行建模;在此基础上,设计出了模糊静态输出反馈控制器和模糊动态输出反馈控制器,并利用Lyapunov-Razumikhin引理和线性矩阵不等式证明了系统渐近稳定的充分条件,通过求解一系列线性矩阵不等式,得到了反馈增益矩阵。