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Design of Nonlinear Decoupling Controller for Double-electromagnet Suspension System

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自动化学报 2006年第3期32卷 321-328页

作者： LIU De-Sheng LI Jie ZHANG Kun College of Mechatronics Engineering and Automation National University of Defense Technology Changsha 410073

Aiming at the coupling characteristic between the two groups of electromagnets embedded in the module of the maglev train, a nonlinear decoupling controller is designed. The module is modeled as a double-electromagnet system, and based on some reasonable assumptions its nonlinear mathematical model, a MIMO coupling system, is derived. To realize the linearization and decoupling from the input to the output, the model is linearized exactly by means of feedback linearization, and an equivalent linear decoupling model is obtained. Based on the linear model, a nonlinear suspension controller is designed using state feedback. Simulations and experiments show that the controller can effectually solve the coupling problem in double-electromagnet suspension system.

关键词：双倍电磁体解耦悬浮控制器反馈控制器

Feedback Control of Discrete Linear Switching Systems with Bounded State and Control Input in the Presence of Disturbances

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自动化学报 2010年第8期36卷 1115-1121页

作者： FAN Guo-Wei LIU Zhi-Yuan CHEN Hong Department of Control Science and Engineering Harbin Institute of Technology Harbin 150001 P.R. China Department of Control Science and Engineering Jitin University Changchun 130025 P.R. China

The main contribution of this paper is to present some stability synthesis results for a subclass of hybrid systems, which is the discrete-time linear switching systems whose dynamics contain reset functions and are determined by exogenous and uncontrollable events. In the presence of additive bounded disturbances, with state and control input constraints, the linear state feedback controller design that can stabilize the system is investigated in the sense of input-to-state stability(ISS).The concept of controlled D-invariance is introduced for this class of hybrid systems, and a necessary and su-cient condition to test the controlled D-invariance of a hybrid region is given. After this,a procedure for the computation of the feedback matrices, which can stabilize the disturbed linear switching systems and also satisfy the state and control input constraints,is proposed. Finally,a numerical example made up of two subsystems is given to show the applicability of the technique

关键词：反馈控制器自动化系统稳定性动力学

基于输出反馈的广义双线性系统H_∞容错控制

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系统工程与电子技术 2006年第12期28卷 1866-1869页

作者：董明高志伟天津大学电气与自动化工程学院天津300072

基于非线性系统H∞容错控制的概念,给出了实现广义双线性系统H∞容错控制的输出反馈控制器的存在条件和设计方法,保证设计的反馈控制器在正常情况下和存在执行器故障的情况下,都能使闭环系统渐近稳定,且闭环输入输出信号满足H∞性能指... 详细信息

基于非线性系统H∞容错控制的概念,给出了实现广义双线性系统H∞容错控制的输出反馈控制器的存在条件和设计方法,保证设计的反馈控制器在正常情况下和存在执行器故障的情况下,都能使闭环系统渐近稳定,且闭环输入输出信号满足H∞性能指标。最后的仿真结果证明了结论的正确性。

关键词：广义双线性系统非线性系统H∞控制容错控制反馈控制器

区间变时滞广域电力系统稳定性分析与控制器设计

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电工技术学报 2019年第17期34卷 3640-3650页

作者：钱伟王晨晨费树岷河南理工大学电气工程与自动化学院焦作454000 东南大学自动化学院南京210096

针对时滞现象对广域电力系统的稳定性产生的严重影响,研究区间变时滞影响下广域电力系统的稳定性分析及控制器设计问题。首先,构建含有区间变时滞的广域电力系统数学模型;然后,提出一种增广向量和Lyapunov-Krasovskii泛函的构造方法,同... 详细信息

针对时滞现象对广域电力系统的稳定性产生的严重影响,研究区间变时滞影响下广域电力系统的稳定性分析及控制器设计问题。首先,构建含有区间变时滞的广域电力系统数学模型;然后,提出一种增广向量和Lyapunov-Krasovskii泛函的构造方法,同时采用Wirtinger积分不等式、Extended积分不等式、凸组合等方法对泛函导数进行解析,降低了解析误差,得到具有较小保守性的稳定性结论,扩大了系统的稳定运行区域;接着在此基础上,设计无记忆反馈控制器和带记忆反馈控制器,利用分步线性化方法处理非线性项,将控制器的存在性条件归结为严格线性矩阵不等式的形式;最后,通过典型的二阶系统、单机无穷大系统和4机11节点系统,仿真分析证明通过该文所提方法得到的时滞稳定性判据具有较低的保守性,仿真结果进一步说明所设计的控制器有着较好的控制效果。

关键词：广域电力系统区间变时滞 Lyapunov-Krasovskii泛函积分不等式反馈控制器

Delay-dependent Robust Stabilization for Uncertain Singular Systems with Multiple Input Delays

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自动化学报 2009年第2期35卷 162-167页

作者： DU Zhao-Ping ZHANG Qing-Ling LIU Li-Li Institute of Systems Science Northeastern University Shenyang 110004 P. R. China Key Laboratory of Integrated Automation of Process Industry Ministry of Education Northeastern University Shenyang 110004 P. R. China

In this paper, the problem of delay-dependent robust stabilization is investigated for singular systems with multiple input delays and admissible uncertainties. First, an improved delay-dependent stabilization criterion for the nominal system is established in terms of linear matrix inequalities (LMIs). Then, based on this criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free, and stable for all admissible uncertainties. Numerical examples are provided to illustrate the effectiveness of the proposed method.

关键词：物流管理信息系统自动化系统线性矩阵不等式反馈控制器

L2-gain Analysis and Control Synthesis for a Class of Uncertain Switched Nonlinear Systems

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自动化学报 2009年第11期35卷 1459-1464页

作者： WANG Min ZHAO Jun Key Laboratory of Integrated Automation ot Frocess Industry Ministry of Education Northeastern University Shenyang 110004P. R. China

This paper addresses the issue of L2-gain analysis and control synthesis for a class of uncertain switched nonlinear systems using the average dwell-time method incorporated with piecewise Lyapunov functions. Sufficient conditions for a weighted L2-gain and the stabilization are derived. A switched state feedback controller is designed to achieve exponential stability of the closed-loop system with the weighted L2-gain property.

关键词：增益分析不确定性反馈控制器函数

Robust H∞ Control for a Class of Nonlinear Systems with Input Unmodeled Dynamics^1）

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自动化学报 2004年第2期30卷 176-182页

作者： WANGXing-Ping CHENGZhao-Lin SchoolofMathematicsandSystemSciences ShandongUniversityJinan250100

The problem of robust H∞ control of a class of nonlinear systems with input dynamicaluncertainty is dealt with. By the recursive design approach, a robust controller is constructed suchthat the closed-loop system has an arbitrarily small L2 gain from disturbance to output and in theabsence of disturbance, the closed-loop system is globally asymptotically stable.

关键词：不确定输入动态非线性系统鲁棒H∞控制反馈控制器闭环系统

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线性连续时滞大系统的分散镇定控制(英文)

控制理论与应用 2000年第3期17卷 445-448页

作者：胥布工肖迳潘静川华南理工大学自动控制工程系广州510640

针对线性连续时滞大系统 ,建立了在一定关联矩阵分解情形下的镇定条件 .同时 ,给出了分散局部无记忆状态反馈控制器的设计方法 .最后 ,给出一个示例说明所提方法并比较文献中已有结果 .

关键词：时滞大系统分散镇定控制反馈控制器

基于两步控制策略的混沌系统全局有限时间同步

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控制理论与应用 2018年第8期35卷 1194-1198页

作者：林茜吴晓锋陈云海军工程大学电子工程学院湖北武汉430033 闽南师范大学数学与统计学院福建漳州363000 海军工程大学信息安全系湖北武汉430033

本文研究了无刷直流电机(brushless direct current motor,BLDCM)混沌系统的全局有限时间同步问题.利用混沌吸引子的有界性,提出了两步控制策略.首先不施加控制,让主–从混沌系统各自的轨迹收敛到各自的吸引子中,并估计了吸引子的界和... 详细信息

本文研究了无刷直流电机(brushless direct current motor,BLDCM)混沌系统的全局有限时间同步问题.利用混沌吸引子的有界性,提出了两步控制策略.首先不施加控制,让主–从混沌系统各自的轨迹收敛到各自的吸引子中,并估计了吸引子的界和收敛时间;再对收敛到吸引子的从系统施加状态误差反馈控制,根据有限时间稳定性理论,得出该控制器在满足一定条件时,两个相同的混沌系统可以快速达到有限时间同步.这种方法在主从系统的初始值相差很大的情况下可以大大减少控制成本,并且可以并估计同步时间.文章最后用仿真结果验证了所得判据的可行性和有效性.

关键词：混沌同步反馈控制器两步控制有限时间