Compensation for time-delayed feedback bang-bang control of quasi-integrable Hamiltonian systems

The stochastic averaging method for quasi-integrable Hamiltonian systems with time-delayed feedback bang-bang control is first introduced.Then,two time delay compensation methods,namely the method of changing control force amplitude (CFA) and the method of changing control delay time (CDT),are proposed.The conditions applicable to each compensation method are discussed.Finally,an example is worked out in detail to illustrate the application and effectiveness of the proposed methods and the two compensation ...     

具有通信受限的网络控制系统量化反馈控制

针对一类通信受限的网络控制系统,研究量化反馈控制器及动态调度策略的联合设计问题.考虑到介质访问约束和信号量化误差的影响,将网络控制系统建模为等价的离散时间切换系统;通过Lyapunov稳定理论推导出保证系统鲁棒稳定的模式及量化依赖型充分条件,并给出了量化反馈控制器的设计方法;在此基础上,设计了基于实时状态的动态通信调度策略,实现了网络控制系统的镇定控制.最后通过仿真示例验证了所提出方法的有效性.     

有色噪声下随机时滞传染病模型的稳定性

本文运用O-U过程刻画环境变化性，在Edoardo Beretta基础上构造了有色噪声影响下的随机时滞的传染病模型。运用一般Lyapunonv方法研究了有色噪声对该系统的影响并得到系统正平衡点保持稳定的充分条件。最后通过对比发现随机扰动对系统稳定性影响仅仅与其随机过程的方差有关。     

非线性随机动力学与控制研究进展及展望

随机动力学系用概率与统计方法研究自然界、工程及社会中各种随机动力学过程与现象。经一个世纪的发展，非线性随机动力学与控制已有相当的理论方法，主要是扩散过程理论方法。本文概述该理论方法，特别是作者提出与发展的非线性随机动力学与控制的Hamilton理论体系框架。最后建议各领域随机动力学与控制研究者进行跨学科的合作研究。     

欠驱动三连杆机器人的混杂控制方法

针对第二关节为被动关节的欠驱动三连杆机器人,提出一种混杂控制方法．欠驱动三连杆机器人的运动空间分为3个阶段：退化阶段、摇起阶段和平衡阶段．首先,在退化阶段,对第三关节构造Lyapunov函数,并针对此函数设计控制律使其连杆相对于前一连杆自然伸展,使系统退化为类Pendubot机器人;同时基于能量不断增加的思想设计第一关节控制律,以节省后阶段的能量控制时间．其次,在摇起阶段,保持第三关节控制律形式不变;通过仅控制系统能量和同时控制系统能量、角速度两种方法设计第一关节控制律,使系统进入平衡区．最后,对退化后的系统采用线性控制将其稳定在竖直向上不稳定平衡点上．数值仿真结果表明文中所提方法具有控制时间短,所需力矩小等优点．     

运用Lyapunov指数方法的车辆横向运动混沌分析及其滑模变结构控制

建立了考虑车辆横摆、侧向以及侧倾运动的3自由度非线性整车模型：运用Lyapunov指数方法对所建立的非线性整车模型进行了混沌的数值仿真分析．通过最大Lyapunov指数图和分岔图发现,车辆的横向运动非常复杂,包含了倍周期、拟周期以及混沌运动,对于车辆极限工况时的横向运动稳定性是不利的．利用滑模变结构控制（sliding mode variable structure control,SMVSC）方法,设计了SMVSC控制器,对车辆横向运动中的混沌进行了控制．为了减少SMVSC控制系统的抖振,进一步提高车辆在极限工况下行驶的横向运动稳定性,采用了幂次趋近律,利用模糊控制的方法实现了趋近律的自适应策略．最后将所设计的自适应趋近律的SMVSC系统在Matlab中进行了仿真,并将未加控制,SMVSC控制以及自适应趋近SMVSC控制三种仿真结果进行了对比分析,发现采用了自适应趋近的SMVSC控制对混沌的控制效果比其他的都要好,有效抑制了车辆横向运动中的混沌,显著提高了车辆在极限工况下行驶的横向稳定性,充分证明了该控制策略是有效的．     

p-moment stability of stochastic impulsive differential equations and its application in impulsive control

The exponential p-moment stability of stochastic impulsive differential equations is addressed.A new theorem to ensure the p-moment stability is established for the trivial solution of the stochastic impulsive differential system.As an application of the theorem proposed,the problem of controlling chaos of Lorenz system which is excited by parameter white-noise excitation is considered using impulsive control method.Finally,numerical simulation results are given to verify the feasibility of our approach.     

区间时变时滞离散广义系统的稳定与镇定

研究了一类区间时变时滞离散广义系统的稳定与镇定问题。利用一个新构造的Lyapunov泛函和线性矩阵不等式方法,给出了使得系统正则、因果且稳定的时滞相关型稳定性新判据,并在其基础上得到了系统状态反馈镇定控制律的一个直接的设计方法。在讨论过程中,充分考虑了系统时变时滞信息,且保留了Lyapunov泛函导数中的有用项,使得结果具有较小保守性。数值实例表明了方法的有效性和优越性。     

自励异步发电机带载稳态的解析计算

从自励异步发电机的暂态等效电路出发,基于其在两相静止坐标系上的状态空间数学模型,对其带载建压暂稳态过程提出了应用Lyapunov稳定性理论的整体性分析方法.依据理论分析方法分析得到了带载自励建压达到稳态的过程之应用暂态数学模型表示的稳态条件.解极限环条件得出了定子频率和转子转速的解析计算式,以及确保自励建压的负载取值范围和电机磁路过度饱和稳态励磁电感的解析关系式;为求解稳态运行点条件,提出了一种基于物理背景的等价转化解析计算方法,解得了稳态运行点的解析计算式.算例分析检验了稳态条件的唯一组解析解.实测值与计算结果相互吻合,验证了稳态条件解析计算式的正确性、科学性和有效性,表明了通用性和工程参考价值,解决了长期以来对异步发电机暂稳态运行性能无法解析计算的难题.理论分析方法适用于具有动力学特性的其他类型电力系统运行分析.     

Model averaging estimation for conditional volatility models with an application to stock market volatility forecast

This paper is concerned with model averaging estimation for conditional volatility models. Given a set of candidate models with different functional forms, we propose a model averaging estimator and forecast for conditional volatility, and construct the corresponding weight-choosing criterion. Under some regulatory conditions, we show that the weight selected by the criterion asymptotically minimizes the true Kullback–Leibler divergence, which is the distributional approximation error, as well as the Itakura–Saito distance, which is the distance between the true and estimated or forecast conditional volatility. Monte Carlo experiments support our newly proposed method. As for the empirical applications of our method, we investigate a total of nine major stock market indices and make a 1-day-ahead volatility forecast for each data set. Empirical results show that the model averaging forecast achieves the highest accuracy in terms of all types of loss functions in most cases, which captures the movement of the unknown true conditional volatility.     

Control of sequences of movements in crayfish escape behavior

Summary Crayfish escape from predators by a series of rapid tailflips. The production of this seemingly simple behavior involves the interaction of multiple neural control mechanisms. The rapid flexion phase of the first tailflip is a fixed action pattern that is always organized by giant command neurons. Subsequent reextension is a chain reflex mediated by sensory feedback from the initial flexion. All following tailflips are produced by a non-gialnt system which is activated in parallel with the giant system by the escape-initiating stimulus. Proper integration of the giant system and the non-giant system is mediated by a reaction time mechanism.     

Forecasting US inflation by Bayesian model averaging

Recent empirical work has considered the prediction of inflation by combining the information in a large number of time series. One such method that has been found to give consistently good results consists of simple equal‐weighted averaging of the forecasts from a large number of different models, each of which is a linear regression relating inflation to a single predictor and a lagged dependent variable. In this paper, I consider using Bayesian model averaging for pseudo out‐of‐sample prediction of US inflation, and find that it generally gives more accurate forecasts than simple equal‐weighted averaging. This superior performance is consistent across subsamples and a number of inflation measures. Copyright © 2008 John Wiley & Sons, Ltd.     

Global analyses of crisis and stochastic bifurcation in the hardening Helmholtz-Duffing oscillator

Crisis and stochastic bifurcation of the hardening Helmholtz-Duffing oscillator are studied by means of the generalized cell mapping method using digraph. For the system subject to a single deterministic harmonic excitation, our study reveals that a series of crisis phenomena can occur when the system parameter passes through different critical values, including chaotic boundary crisis, regular boundary crisis and interior crisis. A chaotic boundary crisis due to the collision of regular attractor with chao...     

用非线性反馈控制混沌Roessler系统到达任意目标

本文设计了识别不确定Roessler系统未知参数的观测器，提出了控制Roessler系统中混沌的非线性反馈控制策略。数值模拟结果表明：观测器可以有效地标识未知参数；选取不同的目标参数，既可以使Roessler系统稳定在不同周期轨道上，也可以稳定在任意目标点上。     

External synchronization of two dynamical systems with uncertain parameters

External synchronization is addressed as two or more dynamical systems with synchronous motions, which is also regarded as master-slave system. In this paper, two dynamical systems, one employs a hysteretic term to model the friction phenomenon, the other involves a hardening stiffness component with the third order of displacement due to flexible deformation, are controlled to converge to the same trajectory. The control strategy is extended from feedback control for all parameters known to adaptive contro...     

Forecast Combinations in a DSGE‐VAR Lab

We explore the benefits of forecast combinations based on forecast‐encompassing tests compared to simple averages and to Bates–Granger combinations. We also consider a new combination algorithm that fuses test‐based and Bates–Granger weighting. For a realistic simulation design, we generate multivariate time series samples from a macroeconomic DSGE‐VAR (dynamic stochastic general equilibrium–vector autoregressive) model. Results generally support Bates–Granger over uniform weighting, whereas benefits of test‐based weights depend on the sample size and on the prediction horizon. In a corresponding application to real‐world data, simple averaging performs best. Uniform averages may be the weighting scheme that is most robust to empirically observed irregularities. Copyright © 2016 John Wiley & Sons, Ltd.     

Global view of Hopf bifurcations of a van der Pol oscillator with delayed state feedback

This paper presents both analytical and numerical studies on the global view of Hopf bifurcations of a van der Pol oscillator with delayed state feedback. Based on a detailed analysis of the stability switches of the trivial equilibrium of the system, the stability charts are given in a parameter space consisting of the time delay and the feedback gains. The center manifold reduction and the normal form method are used to study Hopf bifurcations with respect to the time delay. To gain an insight into the pe...     

具有双控制输入通道高阶不确定非线性系统控制设计

本文研究了一类高阶不确定非线性系统的全局渐近稳定控制设计问题.不同于现有结果,本文所研究的高阶非线性系统具有两个控制输入通道,即控制输入直接作用于两个一维子系统.这导致已有的控制设计方法不能或难以用来解决该类控制设计问题,因此,寻求新的控制设计方法,用以解决多控制输入通道高阶非线性系统的控制设计问题,是一个很有意义的研究课题.本文首先引入一个有效的反馈变换,从而在非线性系统满足适当假设条件下,成功地将该类系统的控制设计问题转化为规范的单控制输入通道情况下的控制设计问题.进而借助于已有结果,特别是增加幂次积分方法,给出所研究非线性系统的全局渐近稳定控制器的设计方法.尽管本文所研究的系统是具有多控制输入通道高阶非线性系统的特殊情况,所得结果具有一定的局限性,但对更一般情况具有借鉴和指导作用.最后,仿真算例验证了本文理论结果的有效性.