jerk电路混沌系统的同步与追踪控制

针对多涡卷jerk电路混沌系统,利用误差反馈同步法以及非线性观测器对系统的同步进行了研究,并对系统的追踪控制问题,采用滑模控制方法,提出了一种混沌系统的控制方案,有效地实现了多涡卷混沌系统对给定参考信号的追踪控制.最后通过数值示例进行仿真,对文中论述进行了强有力的验证.     

基于趋近律滑模的台车式倒立摆系统控制研究

本文设计了一种基于趋近律方法的滑模控制器。趋近律方法是滑模变结构控制的一种典型控制策略。这种控制方法不仅可以对系统在切换面附近或沿切换面的滑模运动段进行分析,而且可以有效地对系统趋近段的动态过程进行分析和设计,从而保证系统在整个状态空间内具有较好的运动品质。仿真结果表明,将两种典型的趋近律滑模控制方法应用到台车式倒立摆系统中,指数趋近律滑模变结构方法有更好的稳定性和抗干扰能力。     

基于分散反馈控制的时滞混沌大系统

研究一类具有时滞关联的时滞大系统的混沌现象和分散反馈控制问题。应用线性矩阵不等式（LMI）方法,基于李雅普诺夫定理,分别得到了系统存在分散时滞反馈控制器和分散标准反馈控制器的充分条件,并利用分散时滞反馈控制器对系统中存在的不稳定周期轨道的追踪控制问题进行研究。仿真结果表明控制器具有很强的鲁棒性。     

一个简化的混沌系统及其控制器设计

非线性项是产生混沌的必要条件,本文研究只含有一个非线性立方项系统的混沌行为和其控制器的设计。首先,在磁弹体系统的基础上,构造一个新的只含一个立方项的非线性系统,采用非线性动力学分析方法包括耗散性、Poincare映射和Lyapunov指数谱,对系统进行动力学分析,证实了该系统混沌的存在性。其次,为了消除系统的混沌行为,通过设计滑模控制器,将系统分别控制到期望的固定点和周期轨道。最后,通过MATLAB数值仿真验证了所设计的控制器的有效性。     

基于互补滑模控制和迭代学习控制的永磁直线同步电动机速度控制

为满足永磁直线同步电动机(PMLSM)伺服系统高速度高精度的要求,抑制不确定性对系统性能的影响,提出一种互补滑模控制(CSMC)和迭代学习控制(ILC)相结合的控制方法.该方法结合了CSMC强鲁棒性的优点和ILC跟踪精度高的特点,以CSMC中积分滑模面为基础设计新型迭代学习律,既可利用ILC对系统未建模动态进行估计,抑制端部效应、齿槽效应和摩擦力等周期不确定性的影响,又可利用CSMC减小参数变化和外部扰动等非周期不确定性对系统的影响,从而提高控制器的收敛速度和收敛精度,保证系统具有较强的速度跟踪性能.实验结果表明,该方法有效地提高了系统的动态响应能力,改善了速度跟踪精度.     

具有状态依赖脉冲控制的无公害害虫管理模型

研究具有状态依赖脉冲控制的无公害害虫管理模型,利用微分方程几何理论中后继函数法得到系统阶一周期解存在的充分条件,证明该周期解是轨道渐近稳定的,并对系统进行了数值模拟。     

超混沌系统自周期轨道链接式控制

基于混沌同步和周期轨道理论提出一种超混沌系统自周期轨道链接式控制法。从超混沌系统状态变量的时间序列中提取周期轨道并用于对系统的实时控制,可使混沌系统稳定运行于某一周期轨道。将提周期轨道经链接组合后用于系统控制,可得到大量的大周期轨道。对4阶蔡氏电路进行数字仿真实验,获得了满意的结果。     

水平欠驱动机械臂的反步自适应滑模控制

针对二自由度水平欠驱动机械臂系统,提出了基于分层滑模控制思想的反步自适应滑模控制方法．该方法能够在不对系统状态模型进行复杂坐标变换,并且没有约束方程限制的前提下实现对欠驱动系统的反馈滑模控制．仿真结果表明了该方法的有效性,而且优化后的控制器具有较好的适应性和控制效果．     

基于滑模观测器的永磁同步电机无位置传感器控制

本文提出了一种基于滑模变结构控制原理的无位置传感器控制方法。通过分析永磁同步电机的模型,应用滑模变结构控制原理,提出了一种针对永磁同步电机的无位置传感器控制策略。它利用电机中容易测得的定子电流、直流母线电压,通过滑模变结构控制原理来估算转子位置。利用Matlab／Simulink对系统进行了仿真,仿真结果表明,转子位置估算结果基本与实际位置一致。     

海上石油平台电力系统自励磁研究

研究海上石油平台的电力系统抑制自励磁优化控制问题,当海上石油平台孤岛电力系统黑启动时,由于海缆距离长、分布电容大,易造成发电机的自励磁现象,对系统的电气设备产生极大危害,影响了系统的安全。而应用在陆地电力系统的抑制自励磁措施并不能在孤岛电力系统中完全有效。针对海上石油平台电力系统的特点,提出三种应用在海上油田群电力系统的抑制自励磁方法,即双机带空载海缆黑启动、防止新接入的海缆长度超过临界长度以及并联电抗器黑启动。首先通过同步发电机电枢反应原理分析了同步发电机产生自励磁现象,以劳斯判据来确定产生同步自励磁时发电机参数的判断依据及条件,对某海上油田群电力系统的自励磁情况提出抑制模型,最后利用PSCAD/EMTDC软件对黑启动方案进行仿真,结果证明了方法的有效性,为设计提供了可靠依据。     

Existence of periodic orbits of stable saturated systems

The saturation of linear controllers produces the undesirable existence of equilibrium points or periodic orbits of the closed-loop system. This typical nonlinear behavior has been observed in real systems or by means of simulation of certain examples. However, there are only a few studies in which the properties of saturated systems have been examined rigorously and, a proof of the existence of periodic orbits created by the saturation of the controller is lacking. In this paper we choose an example of an open-loop stable linear control system with an stabilizing saturated linear feedback to prove rigorously the existence of a periodic orbit.     

Attractor switching by neural control of chaotic neurodynamics

Chaotic attractors of discrete-time neural networks include infinitely many unstable periodic orbits, which can be stabilized by small parameter changes in a feedback control. Here we explore the control of unstable periodic orbits in a chaotic neural network with only two neurons. Analytically, a local control algorithm is derived on the basis of least squares minimization of the future deviations between actual system states and the desired orbit. This delayed control allows a consistent neural implementation, i.e. the same types of neurons are used for chaotic and controlling modules. The control signal is realized with one layer of neurons, allowing selective switching between different stabilized periodic orbits. For chaotic modules with noise, random switching between different periodic orbits is observed.     

Vector field editing and periodic orbit extraction using Morse decomposition

Design and control of vector fields is critical for many visualization and graphics tasks such as vector field visualization, fluid simulation, and texture synthesis. The fundamental qualitative structures associated with vector fields are fixed points, periodic orbits, and separatrices. In this paper, we provide a new technique that allows for the systematic creation and cancellation of fixed points and periodic orbits. This technique enables vector field design and editing on the plane and surfaces with desired qualitative properties. The technique is based on Conley theory, which provides a unified framework that supports the cancellation of fixed points and periodic orbits. We also introduce a novel periodic orbit extraction and visualization algorithm that detects, for the first time, periodic orbits on surfaces. Furthermore, we describe the application of our periodic orbit detection and vector field simplification algorithms to engine simulation data demonstrating the utility of the approach. We apply our design system to vector field visualization by creating data sets containing periodic orbits. This helps us understand the effectiveness of existing visualization techniques. Finally, we propose a new streamline-based technique that allows vector field topology to be easily identified.     

不确定Willis脑动脉瘤系统的自适应模糊滑模控制

研究了具有不确定项的非线性Willis环上脑动脉瘤系统的混沌控制和同步问题,提出了一种自适应模糊滑模变结构控制方法,设计了模糊滑模变结构控制器及自适应控制律,并从理论上证明了控制系统的稳定性。在该控制器的作用下,受控Willis脑动脉瘤系统能够达到任意目标轨道,且不受不确定性的影响,具有很强的鲁棒性。定值跟踪和同步控制的仿真结果表明了控制器的有效性。     

Gait generation and control for biped robots with underactuation degree one

The paper develops a unified feedback control law for n degree-of-freedom biped robots with one degree of underactuation so as to generate periodic orbits on different slopes. The periodic orbits on different slopes are produced from an original periodic orbit, which is either a natural passive limit cycle on a specific slope or a stable periodic walking gait on level ground generated with active control. First, inspired by the controlled symmetries approach, a general result on gait generation on different slopes based on a periodic orbit on a specific slope is obtained. Second, the time-scaling control approach is integrated to reproduce geometrically same periodic orbits for biped robots with one degree of underactuation. The degree of underactuation is compensated by one degree-of-freedom in the temporal evolution that scales the original periodic orbit. Necessary and sufficient conditions are investigated for the existence and stability properties of periodic orbits on different slopes with the proposed control law. Finally, the proposed approach is illustrated by two kinds of underactuated biped robots: one has a passive gait on a specific ground slope and the other does not have a natural passive gait.     

基于干扰补偿趋近律的离散滑模多周期重复控制

针对离散时间系统的多周期干扰抑制问题,提出一种离散滑模多周期重复控制器设计方法.利用非线性幂次函数设计新型离散趋近律,将周期差分等效干扰以加权形式嵌入到趋近律中,构造带干扰补偿作用的离散趋近律,并据此设计离散滑模多周期重复控制器.为了进行控制器参数整定和表征闭环系统的收敛性能,推导准滑模域边界层的表达式.所提出控制方法既能够消除多周期干扰信号,也能够减小准滑模域边界层.数值仿真验证了所提出控制方法的有效性.     

On the control of chaos via fractional delayed feedback method

In this paper the problem of controlling unstable fixed points (in discrete systems) and periodic orbits (in continuous system) is investigated via a new scheme involving fractional derivatives. This method is based on applying feedback of measured states and using the period of fixed points and periodic orbits. In this method there is no need of information for fixed point and periodic orbits, just the period is enough. The effectiveness of this method is investigated via some demonstrative example.     

单核单涡旋混沌系统定平面折返控制法

基于混沌细胞模型理论,提出适用于单核单涡旋混沌系统的定平面折返控制法.让混沌系统的运动轨线在确定的平面折返,并用一线性系统取代混沌系统作折返运动,从而大大降低了系统的随机性.适当选择折返平面,可控制混沌系统稳定运行于某些周期轨道上.用该控制方法对多个典型混沌系统进行数字仿真实验,获得了稳定的周期1、周期2和周期4轨道.     

Sliding mode control of two-level quantum systems

This paper proposes a robust control method based on sliding mode design for two-level quantum systems with bounded uncertainties. An eigenstate of the two-level quantum system is identified as a sliding mode. The objective is to design a control law to steer the system’s state into the sliding mode domain and then maintain it in that domain when bounded uncertainties exist in the system Hamiltonian. We propose a controller design method using the Lyapunov methodology and periodic projective measurements. In particular, we give conditions for designing such a control law, which can guarantee the desired robustness in the presence of the uncertainties. The sliding mode control method has potential applications to quantum information processing with uncertainties.     

On control of chaos: Higher periodic orbits

In this paper, we consider control and simultaneous stabilization of chaotic dynamical systems onto higher periodic orbits. Our aim is to control chaos using local linear state, feedback control. After analysing the applicability of such a control, we present numerical techniques for constructing effective controllers. The control is achieved using small, bounded perturbations. We also give a sufficient condition for stabilizing control around higher periodic orbits. The methods proposed are shown to be effective for some examples even in the presence of relatively small random dynamical noise.