基于混合反馈控制的分数阶混沌系统多延时完全同步

为提高保密通信的安全性,本文首次将完全同步和延时投影同步的思想相结合提出了多延时完全同步。针对Lorenz、金融分数阶两个不同的混沌系统,基于分数阶稳定性理论以及混合反馈控制方法,通过设计能够自动调节反馈增益系数的混合反馈控制器,实现了分数阶多延时完全同步。根据前人提出的修正的预估校正算法对混沌系统进行数值仿真,结果表明由驱动系统与响应系统构建的多延时完全同步误差系统将最终稳定于零点,从而验证了混合反馈控制器的有效性和可行性。     

基于EKF的水下LD通信精对准控制算法

高速激光通信中接收机与光斑中心很难处于精对准状态,导致水下光通信链路难以稳定建立.首先采用蒙特卡洛仿真统计法分析激光光子在海水中传输的接收光强分布规律,再通过实验对接收端的光斑图像进行采样分析,利用曲线拟合得到接收器位置与接收光强的关系.仿真与实验结果表明:光束经过25 m的水下传输,接收光强分布仍近似为高斯分布.采用非线性估计算法(扩展卡尔曼滤波)与基本状态控制反馈理论,根据接收光强度估计接收器当前位置与最大光强处的距离,通过反馈算法实现接收端与光斑中心的主动跟踪对准.算法仿真结果显示,接收端对准误差在2 mm以下,稳定后接收效率超过98%.     

一类金融混沌系统的线性控制模型

针对一类金融混沌系统,建立存款利率线性控制模型、投资需求线性控制模型和综合线性控制模型,运用线性反馈控制的方法调整导致系统产生混沌的参数组合,实现对系统稳定性的有效控制.首先对控制模型进行动力学分析,从理论上分析控制模型的反馈系数的取值范围;然后通过数值模拟证明方法的可行性;最后讨论线性反馈控制对金融危机宏观调控的实际意义.     

FEEDBACK CONTROL OPTIMIZATION FOR SEISMICALLY EXCITED BUILDINGS

A feedback control optimization method of partially observable linear structures via stationary response is proposed and analyzed with linear building structures equipped with control devices and sensors. First, the partially observable control problem of the structure under horizontal ground acceleration excitation is converted into a completely observable control problem. Then the It6 stochastic differential equations of the system are derived based on the stochastic averaging method for quasi-integrable Hamiltonian systems and the stationary solution to the Fokker-Plank-Kolmogorov （FPK） equation associated with the It6 equations is obtained. The performance index in terms of the mean system energy and mean square control force is established and the optimal control force is obtained by minimizing the performance index. Finally, the numerical results for a three-story building structure model under E1 Centro, Hachinohe, Northridge and Kobe earthquake excitations are given to illustrate the application and the effectiveness of the proposed method.     

对带状态和输入延迟系统通过动态输出反馈实施H_∞控制（英文）

本文讲述对状态和输入延迟的连续时间线性系统的一种新的控制方法,这种控制方法是通过动态输出反馈控制器实现的.基于延迟分割技术,用矩阵不等式得出闭环系统的稳定化标准.这种稳定化方法拥有一个特定的单调性质,从而得出线性迭代收敛的计算算法.本文用一个例子来说明所阐述的方法的有效性.     

On decentralized stabilization of linear large scale systems with symmetric circulant structure

The decentralized stabilization of continuous and discrete linear large scale systems with symmetric circulant structure was studied. A few sufficient conditions on decentralized stabilization of such systems were proposed. For the continuous systems, by introducing a concept called the magnitude of interconnected structure, a very important property that the decentralized stabilization of such systems is fully determined by the structure of each isolated subsystem that is obtained when the magnitude of interconnected structure of the overall system is given. So the decentralized stabilization of such systems can be got by only appropriately designing or modifying the structure of each isolated subsystem, no matter how complicated the interconnected structure of the overall system is. A algorithm for obtaining decentralized state feedback to stabilize the overall system is given. The discrete systems were also discussed. The results show that there is a great dfference on decentralized stabilization between continuous case and discrete case.     

基于指数收敛的四旋翼无人机鲁棒自适应飞行控制

针对四旋翼无人机鲁棒自适应飞行问题,提出了一种基于指数收敛的控制方法。考虑到四旋翼系统的欠驱动、强耦合等非线性特性,采用线性化反馈控制策略实现对其轨迹追踪飞行能力的基本控制;针对线性化反馈控制易受系统内外部未知干扰等影响,采用基于指数收敛干扰观测器组合控制设计,实现四旋翼飞行的鲁棒与自适应控制;线性反馈及状态观测器控制系统基于指数收敛稳定。进行了仿真分析,结果表明,干扰观测器对四旋翼系统中存在的未知干扰具有很好的估计能力,所设计的基于指数收敛控制系统,结构简单,且具有较强的干扰抑制能力和较高的系统稳定性,满足四旋翼无人机的鲁棒及自适应飞行能力要求。     

金融系统数学模型的机理分析与控制

基于金融系统数学模型的基本知识,讨论了模型的稳定性、耗散性等,同时进行机理分析;通过对参数和初值的取值,讨论了模型的线性、加速、双周期函数的反馈控制.数值模拟证实其有效性.