非线性系统观测器的设计:LMI方法

对满足Lipschitz条件的非线性系统给出了全维、降维观测器存在的充分条件并分别进行了证明,重点设计了新形式的降维状态观测器,观测器增益矩阵的获得完全取决于线性矩阵不等式(LMI)的解的情况,应用线性矩阵不等式工具箱使得设计更加方便,消除了增益矩阵选取的盲目性.通过对实际模型的仿真分析可知,两种观测器的状态估计误差均能渐近收敛到零,表明了该方法的有效性.     

基于特别兴趣组的P2P网络搜索算法

从实现搜索引擎的角度,分析了泛洪策略(flooding strategy), 扩展环策略(expending ring), 行走者(walker) 和多个行走者(k walker) 搜索策略。沿着这些策略的思路,引用“小世界”思想,进一步提出了基于特别兴趣组的P2P网路搜索查询算法。该算法的特点就是改变被动的提供信息网络节点为主动提供服务的网络节点,或者说把网络节点作用从信息提供者改变为查询向导。网络节点不但提供查询所求的内容,同时利用与它有相同兴趣的特别兴趣组通讯簿为所收到的查询提供指南。因此可以加快P2P网的查询速度,同时减轻网络负荷。     

一类离散非线性不确定时滞系统的鲁棒滑模滤波

This paper is concerned with the problem of robust sliding-mode filtering for a class of uncertain nonlinear discrete-time systems with time-delays. The nonlinearities are assumed to satisfy global Lipschitz conditions and parameter uncertainties are supposed to reside in a polytope. The resulting filter is of the Luenberger type with the discontinuous form. A sufficient condition with delay-dependency is proposed for existence of such a filter. And the desired filter can be found by solving a set of matrix inequalities. The resulting filter adapts for the systems whose noise input is real functional bounded and not be required to be energy bounded. A numerical example is given to illustrate the effectiveness of the proposed design method.     

基于特殊点跟踪的线状目标矢量化研究

针对单像素线宽线状目标栅格图像矢量化,提出了一种基于特殊点跟踪的矢量化算法。该算法通过提取曲线端点和曲线间交叉点这两类特殊点,以扫描跟踪的方式提取曲线上的所有像素点坐标,采用Douglas-Peucker法对曲线栅格点进行压缩,获得最终矢量图。实验结果表明,该算法能够有效地实现线状目标栅格图像的矢量化,在选取数据压缩阀值为2个像素的情况下,矢量图与原栅格图的距离差均值小于0.4个像素,数据压缩比大于850。     

线性广义系统基于一般形式观测器的严格耗散控制

本文主要研究线性广义系统基于一般形式状态观测器的严格耗散控制器的设计问题,其中关于状态观测器需要同时设计3个系数矩阵.利用线性矩阵不等式方法,分别得到了满足要求的状态观测器及严格耗散控制器的存在条件及设计方法,保证观测器能够渐近地跟踪系统状态并且闭环广义系统容许且严格耗散.最后给出两个数值算例说明本文设计方法的有效性.     

Full‐Order and Reduced‐order Observer Design for a Class of Fractional‐order Nonlinear Systems

The paper is concerned with problem of the full‐order and reduced‐order observer design for a class of fractional‐order one‐sided Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full‐order observer error dynamic system is presented. Furthermore, the proposed design method was extended to reduced‐order observer design for fractional‐order nonlinear systems. All the stability conditions are obtained in terms of LMI, which are less conservative than some existing ones. Finally, a numerical example demonstrates the validity of this approach.     

Novel application of a new metamaterial complementary electric LC resonator for the design of miniaturized sharp band‐pass filters

In this article, we introduce a new metamaterial complementary electric LC resonator (CELC) and investigate its operational mechanism, characteristics, and potentialities for application in microwave components and devices, such as filters. We consider the excitation of CELC by the electric and magnetic fields of microstrip lines and its resonance characteristics by the diagrams of effective permittivity (ε_eff) and permeability (μ_eff). A circuit model is obtained by the consideration of its coupling with the loaded microstrip line. We then realize a novel left‐handed (LH) cell by the combination of the CELC resonator and a short circuited stub. It is designed by the least mean square method. We finally use the cascade connection of such LH cells for the design of a miniaturized narrow‐band band‐pass filter with high out of band rejection. © 2013 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2013.     

基于解析模型的非线性系统故障诊断方法综述

对基于解析模型的非线性系统故障诊断方法进行了综述.基于解析模型的非线性故障诊断方法主要包括4大类:基于非线性观测器的方法、基于滤波器的方法、微分几何方法和自适应学习方法.文中详细介绍了各种方法的基本思想和近10年的研究成果,并指出各方法的优缺点以及热点研究方向.最后,给出了一些应用实例,并讨论了非线性系统故障诊断遇到的若干问题以及未来的研究方向.     

Hilbert‐shaped complementary ring resonator and application to enhanced‐performance low pass filter with high selectivity

In this article, a novel single negative metamaterial (MTM) transmission line (TL) consisting of a Hilbert‐shaped complementary ring resonator (H‐CRR) on the ground plane is initially presented and studied in depth. Then based on the proposed MTM TL, a novel six‐section Hi‐Lo microstrip low‐pass filter (LPF) with a cut‐off frequency 2.5 GHz is developed, fabricated, and measured. Measurement results indicate that: by integrating H‐CRR, the selectivity has been significantly improved which is 77.3 dB/GHz due to the single negative permittivity; by etching a crown square on low‐impedance section, the bandwidth characterized by 20 dB return loss was obviously enhanced by 26.2% and the maximal sidelobe level of in‐band return loss was reduced from 22 to 24.6 dB. What' more, the developed LPF achieved a 36.3% size reduction with respect to its conventional counterpart. The design concept, which was confirmed by the measurement data, is of practical value and can be popularized in other microwave devices where high selectivity is requested. © 2011 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2011.     

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.     

Human-in-the-Loop Consensus Control for Nonlinear Multi-Agent Systems With Actuator Faults

This paper considers the human-in-the-loop leader-following consensus control problem of multi-agent systems(MASs)with unknown matched nonlinear functions and actuator faults.It is assumed that a human operator controls the MASs via sending the command signal to a non-autonomous leader which generates the desired trajectory.Moreover,the leader’s input is nonzero and not available to all followers.By using neural networks and fault estimators to approximate unknown nonlinear dynamics and identify the actuator faults,respectively,the neighborhood observer-based neural fault-tolerant controller with dynamic coupling gains is designed.It is proved that the state of each follower can synchronize with the leader’s state under a directed graph and all signals in the closed-loop system are guaranteed to be cooperatively uniformly ultimately bounded.Finally,simulation results are presented for verifying the effectiveness of the proposed control method.     

时滞依赖H_/H∞观测器的线性系统故障检测

本文研究了线性连续时滞系统的鲁棒故障检测问题.利用H_/H∞故障检测方法,设计了故障检测观测器,并给出了时滞依赖的故障检测观测器设计条件.本文直接给出刻画有限频故障检测性能的线性矩阵不等式条件,避免因引入加权函数而产生的不准确性.最后,仿真算例表明时滞依赖的有限频故障检测观测器可以取得比已有结果更好的故障检测性能.     

Formation Control for Nonlinear Multi-agent Systems with Linear Extended State Observer

This paper investigates the formation control problem for nonlinear multi-agent systems with a virtual leader. A distributed formation control strategy based on linear extended state observer (LESO) is proposed under the hypothesis that velocity of the agent's neighbors could not be measured. Some sufficient conditions are established to ensure that the nonlinear multi-agent systems form a predefined formation with switching topology when the nonlinear function is known. Moreover, the tracking errors are bounded with external disturbance. Lastly, a numerical example with different scenarios is presented to demonstrate the validity of the obtained results.      

Optimal Synchronization Control of Heterogeneous Asymmetric Input-Constrained Unknown Nonlinear MASs via Reinforcement Learning

The asymmetric input-constrained optimal synchronization problem of heterogeneous unknown nonlinear multiagent systems(MASs) is considered in the paper. Intuitively,a state-space transformation is performed such that satisfaction of symmetric input constraints for the transformed system guarantees satisfaction of asymmetric input constraints for the original system. Then, considering that the leader’s information is not available to every follower, a novel distributed observer is designed to est...     

Lumped uncertainty alleviation in output channels of MIMO nonlinear systems based on robust disturbance observer-based control strategy

Disturbances and uncertainties can produce unsatisfactory responses in many industrial and engineering systems. Besides, the practical systems and processes are multiple-input multiple-output (MIMO). Hence, achieving a good control performance with adequate output responses is not simple. Many different methods were provided for control of industrial processes in some references. However, in this paper, the primary goal is to design an appropriate tracking controller for alleviating the destructive effects of uncertainties in output channels of MIMO nonlinear systems. For this purpose, a robust mechanism has been introduced according to the optimal design of centralized extended proportional-derivative (CEPD) and disturbance observer (DOB). By designing the derivative part $K_d$ based on famous Vandermonde matrix and DOB gain $\mathrm{\Gamma }$, the robust criterion $R={\left(I+CG{K}_d\right)}^{-1}$ is obtained to tackle the undesirable factors such as nonlinear functions and uncertainties in error dynamics. The closed-loop stability is guaranteed by tuning the proportional part $K_p$ under linear matrix inequality. The proposed scheme in this paper can be used for a wide range of MIMO nonlinear systems in practical situations.     

基于滑模观测器的直线伺服系统反馈线性化速度跟踪控制

在许多高速、高精的直线伺服系统中,要求能实现对速度的快速精确跟踪,但其模型的非线性和变量间的耦合给控制带来难度.对高速、高精速度跟踪控制中,电流和速度的变化过程在时间尺度上相对接近,不能简单地采用磁场定向矢量控制方法实现静态解耦,否则电流和速度间的非线性耦合将破坏速度跟踪品质.采用状态反馈线性化方法来实现永磁直线同步电动机(PMLSM)模型的精确线性化和动态解耦.利用非线性坐标变换和非线性反馈将系统解耦成独立的线性电流子系统和速度子系统.通过扩展滑模观测器来实现对所需要的动子速度、加速度和负载扰动的鲁棒观测.并利用李雅普诺夫理论对由反馈线性化和滑模观测器构成的非线性闭环系统的稳定性进行了证明.仿真结果表明该方案使PMLSM伺服系统具有良好的鲁棒速度跟踪性能.     

一种基于LMI的非线性模型预测控制终端域优化方法

对于具有约束的非线性系统, 提出了一种模型预测控制 (Model predictive control, MPC) 的终端域优化方法. 基于线性矩阵不等式(Linear matrix inequality, LMI) 优化和非线性系统的范数有界线性微分包含 (Linear differential inclusion, LDI), 给出了求解非线性 MPC 终端代价函数和局部稳定控制器的一种方法, 在此基础上可方便地得到非线性模型预测控制终端域. 一个具体的数值算例验证了算法的有效性.     

移动机器人的线性自抗扰控制设计与实验验证

为了实现移动机器人的高精度轨迹跟踪控制, 设计了一种基于扩张状态观测器的扰动抑制方法和相应的实验验证平台. 首先, 考虑到不确定扰动如车轮纵向和侧向滑动对移动机器人系统控制性能的影响, 建立了受扰下的运动学模型; 然后, 基于扩张后的运动学模型设计了扩张状态观测器来估计系统扰动; 接着, 利用扰动估计构建了线性自抗扰控制器, 并利用Lyapunov函数证明了闭环系统的稳定性; 同时, 基于MATLAB/Simulink软件和微控制器搭建了所推荐控制算法的实验验证平台. 最后, 仿真和实验结果都验证了所提出控制方法的有效性.     

基于变分PDE的非线性数字混合滤波器

从局部扩散角度分析了经典变分PDE复原模型的不足,给出一种基于全变差模型和调和模型的混合图像复原模型,并导出了相应的数字混合滤波器.该滤波器可以根据图像的局部梯度特征自适应选取滤波器系数,能在去噪的同时保留边缘,并削弱平滑区域的阶梯效应,具有较好的综合性能.针对该混合滤波器,还设计出相应的图像修补和放大算法.大量仿真实验表明,该滤波器可以很好地应用于图像的去噪、修补和放大.