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.     

基于磁通观测器的转差频率型异步电机矢量控制系统

从异步电机数学模型出发,提出以磁通观测器为基础的控制电流源驱动转差频率型异步电机矢量控制系统的数学模型与结构图.控制系统数学仿真与实验说明,本方案可以改善电机定、转子电阻随运行温度变化时的动、静态特性.     

基于二维混合模型和状态观测器的重复控制设计

针对一类正则线性系统, 提出一种基于状态观测器和二维混合模型的重复控制系统设计方法. 首先, 通过构造一个状态观测器来重构系统的状态, 建立基于重构状态的线性控制律. 然后, 通过独立地考虑重复控制系统的连续控制过程与离散学习行为, 给出基于状态观测器和重构状态反馈的连续/离散二维混合模型. 针对这个混合模型, 运用二维Lyapunov泛函方法, 以线性矩阵不等式(Linear matrix inequality, LMI)的形式给出重复控制系统存在重复控制器和状态观测器的充分条件, 所给条件可用Matlab工具箱方便地求解. 数值仿真验证了本文所提方法的有效性.     

基于中立型系统理论的感应电机高精度磁链观测器研究

针对感应电机交流传动控制系统磁链观测模型不精确, 忽略控制中的延时问题, 转子磁链观测一般具有观测精度不高、易受电机参数变化影响等问题, 运用中立型理论, 建立中立型感应电机观测模型, 提出一种基于中立型的转子磁链观测方法, 设计了中立型转子磁链观测器.该磁链观测器具有观测精度高、受电机参数变化影响小、鲁棒性好的优点, 通过建立精确的观测模型, 解决控制中延时问题对磁链观测精度的影响.对感应电机中立型磁链观测模型进行了稳定性分析.仿真和实验结果证明了所设计中立型转子磁链观测器的可行性和有效性.     

Lurie广义系统基于观测器的控制器设计

研究了Lurie广义系统基于状态观测器的控制器设计问题.通过使用Lyapunov稳定性理论,线性矩阵不等式方法,分别给出了状态反馈控制器和观测器的设计方法,并建立了分离原理,进而得到了基于观测器的控制器设计方法.所得结论对广义系统理论本身的发展和实际应用都有非常重要的意义.最后给出了仿真实例.     

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.     

Observer Design for Linear Singular Time-delay Systems

Two kinds of observers for linear singular time-delay systems,namely functional ob- servers and full-order observers,are considered in this paper.For the former,observers with and without internal delay are considered.For the latter,observers without internal delay is given.The corresponding design steps for various observers,which are all normal linear time-delay systems,are presented.Numerical examples are given to illustrate the methods.     

线性奇异时滞系统的观测器设计

Two kinds of observers for linear singular time-delay systems, namely functional observers and full-order observers, are considered in this paper. For the former, observers with and without internal delay are considered. For the latter, observers without internal delay is given. The corresponding design steps for various observers, which are all normal linear time-delay systems, are presented. Numerical examples are given to illustrate the methods.     

基于DSP的无速度传感器交流异步电机矢量控制系统设计

为提高交流异步电机控制系统的可靠性和适应性,本文设计了基于DSP的无速度传感器异步电机矢量控制系统。根据异步电机转子磁场定向控制的基本方程式建立了改进电压型转子磁链估算模型,并且采用PI自适应速度估算法来估计转速,同时采用电压空间矢量法实现对异步电机的控制。     

一种改进的无速度传感器感应电机直接转矩控制

直接转矩控制(DTC)对于异步电机而言,它能产生快速及好的鲁棒性响应。介绍了一种新的对于无速度感应电动机基于空间矢量(SVM)模型的直接力矩和磁链控制,它能降低稳态时力矩、磁链和速度的波动。在全速度范围无速度传感应用中将产生更好的稳态性能的同时保留DTC的暂态优点。仿真结果显示该方法有着比传统的DTC更好的性能。     

感应电动机的无速度传感控制

提出了一种简洁快速的感应电动机的无速度传感控制方法. 该方法利用一种新型的观测器获得精确的速度与磁通的模的估计, 然后设计了二阶控制器. 在不考虑同步转速为零且负载转矩不可测的个别工程条件下, 证明了该方法能够全局稳定的跟踪转子的给定参考速度和参考磁通. 数值仿真进一步验证了所提出控制方法的有效性.     

基于扩张状态观测器的磁通切换永磁电机的无传感器控制

将线性自抗扰控制应用于磁通切换永磁电机（FSPMM）的无速度传感器控制中,采用线性扩张状态观测器（LESO）构造FSPMM的转速观测器,实现对转速准确而快速的实时估计;设计线性自抗扰控制器（LADRC）作为转速环调节器,系统的鲁棒性被提高了.仿真结果验证了所设计的基于LESO的无传感器LADRC控制策略能够使FSPMM可靠稳定运行,LESO提升了系统的观测精度和响应速度,克服了滑模观测器（SMO）带来的高频抖振和滞后现象;与基于SMO的无传感器PI控制策略相比,所提的控制策略在负载扰动和参数摄动时具有更强的鲁棒性.     

Backstepping Control of Speed Sensorless Permanent Magnet Synchronous Motor Based on Slide Model Observer

This paper presents a backstepping control method for speed sensorless permanent magnet synchronous motor based on slide model observer. First, a comprehensive dynamical model of the permanent magnet synchronous motor(PMSM) in d-q frame and its space-state equation are established. The slide model control method is used to estimate the electromotive force of PMSM under static frame, while the position of rotor and its actual speed are estimated by using phase loop lock(PLL) method. Next,using Lyapunov stability theorem, the asymptotical stability condition of the slide model observer is presented. Furthermore, based on the backstepping control theory, the PMSM rotor speed and current tracking backstepping controllers are designed, because such controllers display excellent speed tracking and anti-disturbance performance. Finally, Matlab simulation results show that the slide model observer can not only estimate the rotor position and speed of the PMSM accurately, but also ensure the asymptotical stability of the system and effective adjustment of rotor speed and current.     

具有单调性非线性项的非线性系统降维观测器设计

Based on the discussion about the existence and design method of full-order observer for systems with monotone nonlinearities, a reduced-order observer design method is developed under the assumption that a linear matrix inequality (LMI) has positive definite matrix solution and the reduced-order observer gain matrix is computed by the solution of LMI. By a linear transformation, a reduced-order observer which does not contain the information of the derivative of the system output is provided. A model is simulated and some conclusions are drawn based on the comparison of the results of reduced-order observer to that of full-order observer. The simulation shows that the design method developed by this paper has good performance.     

一类非线性切换系统的观测器设计

针对在实际工程系统中量测设备在经济性与使用性上存在限制,系统状态通常不能完全观测的问题,考虑了含李普希兹非线性干扰项的切换系统观测器设计问题,通过设计适当的切换策略,提出了一种全局二次稳定的观测器设计方案。该方案适用于有限和无限切换系统,其主要结果以线性矩阵不等式(LMI)的形式表达。该方案简单、易实现,仿真算例验证了其有效性。     

非线性系统广义模糊跟踪控制

研究一种给定 H∞ 模型参考跟踪特性的非线性系统的 T-S 广义模糊跟踪控制问题. 通过把一般的模糊模型等价变换到广义模糊模型, 引入了松弛变量, 并基于线性矩阵不等式 (LMI) 给出了新的 H∞ 跟踪控制器设计方法. 控制器参数在一组线性矩阵不等式中同时得到求解, 避免了原有方法分步求解的困难, 方法简单易行且具有鲁棒性. 两个算例表明了结论的有效性.     

基于滑模观测器的永磁同步电机无位置传感器控制的研究

简要论述滑模观测器的理论基础,根据PMSM的数学模型,建立基于滑模观测器的PMSM无传感器控制的系统模型。根据滑模观测器原理,通过电机的定子电压和相电流估算出电机的转角和转速。利用MATU姬工具建立无位置传感器的永磁同步电动机调速系统的仿真平台,仿真实验检验滑模观测器法的有效性。在采用DSP2812的伺服控制平台上,验证滑模观测器法的正确性和可行性。实验结果表明滑模观测器法具有良好的动静态性能。     

Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems

In this paper, we propose a robust fractional-order proportional-integral (FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities (LMIs) approach by using an indirect Lyapunov method. The proposed FOPI observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional (FOP) observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.      

基于网络控制系统的感应电机非线性控制

针对网络控制系统中存在不确定时延的问题,讨论了网络条件下感应电机的建模与控制．首先基于感应电机的非线性数学模型,运用直接反馈化方法将其线性化,然后在线性化的基础上引入具有时延的网络控制系统,建立了感应电机的网络化控制模型．运用李亚普诺夫函数方法,给出了闭环系统渐近稳定的充分条件,基于相应的线性矩阵不等式可行解,可以求解状态反馈控制律．最后,仿真结果验证了该方法的有效性．