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On the absolute stability approach to quantized feedback control:Further insight

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On the absolute stability approach to quantized feedback con...

第26届中国控制与决策会议

作者： xiju zong Xingong Cheng School of Electrical Engineering University of Jinan

By exploring some geometric properties of the logarithmic quantizer and using the fact that the logarithmic quantizer is sector bounded and nondecreasing, this paper presents a new approach to the stability analysis of quantized feedback control systems. Our method is based on Tsypkin-type Lyapunov functions that have been widely used in absolute stability analysis problems. The results are expressed in linear matrix inequalities（LMIs） and are valid for both single-input and multiple-input discrete-time linear systems with a logarithmic quantizer. Theoretical analysis shows that the results in this paper are generally less conservative than those in the quadratic framework.

关键词： Logarithmic quantization Asymptotic stability.

The PWM control of second system coupled with ordinary different equation

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The PWM control of second system coupled with ordinary diffe...

第43届中国控制会议

作者： Zhenhui Xu xiju zong Faqin Zhao School of Electrical Engineering University of Jinan School of information science and engineering University of Jinan

This paper investigates the stability of a second-order ODE coupled with a heat PDE system under PWM control inputs. First, the duty cycle scheme of the PWM controller is designed according to the overall state of the system to realize the stability of the coupled system. Secondly, we prove the stability of the coupled system of second-order ordinary differential equations and classical heat equations by using the Lyapunov generalization technique as well as the backstepping ***, we give a numerical example of a second-order ODE-PDE coupled system to illustrate the validity of our theoretical results.

关键词： Second-order ODE-PDE PWM Lyapunov function Backstepping

Sliding Mode Control to Wave Equation with Velocity Recirculation and Matched Disturbance

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Sliding Mode Control to Wave Equation with Velocity Recircul...

第43届中国控制会议

作者： Ruicheng Li Feng-Fei Jin xiju zong School of Mathematics and Statistics Shandong Normal University School of Information Science and Engineering University of Jinan

In this paper, the stabilization problem of one-dimensional wave equation with velocity recirculation and matched disturbance is studied. The sliding model control(SMC) and backstepping method are applied to handle the disturbance. Firstly,we propose a variable structure control law. Under the designed control law, the resulting closed-loop has a unique solution and the solution decays exponentially. At last, we validate the effectiveness of designed method by giving the numerical experiments.

关键词： Sliding mode control backstepping method velocity recirculation

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椭圆-抛物系统的近似能控性

系统科学与数学 2011年第6期31卷 629-636页

作者：宗西举程新功济南大学控制科学与工程学院济南250022

设计了两类控制器同时作用于椭圆-抛物系统:一类是传统的内部控制(分布控制器);另一类是以一个时变系数形式描述的内部控制(块控制器,κ(t)只是和时间有关,而与空间位置x没有关系,所以称块控制器,是相对于分布控制而言的).由于这里讨论... 详细信息

设计了两类控制器同时作用于椭圆-抛物系统:一类是传统的内部控制(分布控制器);另一类是以一个时变系数形式描述的内部控制(块控制器,κ(t)只是和时间有关,而与空间位置x没有关系,所以称块控制器,是相对于分布控制而言的).由于这里讨论的系统是非线性的,也只能得到全局近似能控性,不能得到精确零能控性.设计这样的控制器的目的是为了克服抛物型偏微分方程描述的系统只在内部控制器驱动下只是全局近似能控的,采用渐近分析技巧将双线性控制的作用充分分割、组合,最终得到椭圆-抛物系统的全局近似能控性.

关键词：椭圆-抛物系统全局精确零能控性全局近似能控双线性块控制渐近分析

Research on Sapphire Furnace Temperature Control Strategy based on Active Disturbance Rejection Control

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Research on Sapphire Furnace Temperature Control Strategy ba...

第40届中国控制会议

作者： Xubo Song Xinguo Shi Bo Zhai Xingong Cheng xiju zong Hao Ge Jiangtao Zheng Shandong Energy Group Co. Ltd.Shandong Energy Zibo Mining Group Co. Ltd.Shandong Xinsheng Photoelectric Technology Co. Ltd. Shandong Energy Group Co. Ltd. School of Electrical Engineering University of Jinan

In the process of sapphire production, it needs to control the furnace temperature accurately. Aiming at the modeling of temperature control system of sapphire furnace, this paper adopts the method of increasing order to approximate the timedelay operator to the first-order inertial link, so that the first-order time-delay system can be approximated to the second-order time-delay free system. In order to solve the problems such as poor stability and difficulty in precise temperature control during sapphire growth, an active disturbance rejection control（ADRC） based temperature control strategy is proposed in this paper to realize accurate temperature control. A new type of nonlinear tracking differentiator is used in the construction of *** using MATLAB to the PID control strategy and ADRC control strategy are simulated. The simulation results show that the ADRC control strategy proposed in this paper has higher control accuracy, no overshot tracking and better disturbance rejection ability.

关键词： Temperature control Active disturbance rejection control Disturbance suppression No overshoot

Control for the Traveling Wave Solution to the Degasperis-Procesi Equation

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Control for the Traveling Wave Solution to the Degasperis-Pr...

第三十届中国控制会议

作者： zong xiju,ZHANG Yong and CHENG Xingong~* School of Control Science and Engineering,University of Jinan,Jinan,Shandong,250022,P.R.China

＜正＞The differential geometry method is used to study the control problem of the traveling wave solution to the Degasperis- Procesi *** on the differential geometry structure,General Hamiltionian Realization（GHR） is used to derive the strictly dissipative feedback controller of the controlled *** simulations confirm the results obtained.

关键词： Differential geometry Traveling wave solution General Hamiltionian Realization(GHR) Nonlinear control system Feedback linearization

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基于分岔理论的磁阀式可控电抗器匝数比研究

电力自动化设备 2009年第8期29卷 91-94页

作者：张永峰程新功宗西举于波济南大学控制科学与工程学院山东济南250022 青岛理工大学自动化工程学院山东青岛266520

匝数比取值对磁阀式可控电抗器(MVCR)的工作性能有较大影响。匝数比取值合理,能够保证MVCR的端电压瞬间变化时,其工作电流迅速稳定在某一个当前值;若匝数比取值不当,会使MVCR在运行过程中表现出很强的非线性特性,对系统的运行特性造成... 详细信息

匝数比取值对磁阀式可控电抗器(MVCR)的工作性能有较大影响。匝数比取值合理,能够保证MVCR的端电压瞬间变化时,其工作电流迅速稳定在某一个当前值;若匝数比取值不当,会使MVCR在运行过程中表现出很强的非线性特性,对系统的运行特性造成极大的影响,甚至无法工作。利用非线性动力学的分岔理论,阐述了一种固定周期离散映射的建模方法。首先建立MVCR的离散模型,然后利用该模型计算得到匝数比不同取值时等效工作电流的稳态值。在分析稳态值分岔现象的基础上,给出了匝数比的合理取值范围。仿真结果验证了所提方法的有效性和合理性。

关键词：分岔磁阀式可控电抗器非线性特性离散模型匝数比

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电网谐波状态估计中的可观性分析

电力系统自动化 2015年第6期39卷 53-59 151,151页

作者：欧朱建程新功宗西举张静亮侯广松济南大学自动化与电气工程学院山东省济南市250022 国网菏泽供电公司山东省菏泽市274000

谐波状态估计的一个难点,在于量测数目通常小于状态量数目,导致量测—状态方程欠定,系统不完全可观。针对该问题,进行了3个方面的研究:首先,结合数学分析和实际电网分析,从减少状态量的角度,实现方程由欠定变为恰定或超定,在保证系统状... 详细信息

谐波状态估计的一个难点,在于量测数目通常小于状态量数目,导致量测—状态方程欠定,系统不完全可观。针对该问题,进行了3个方面的研究:首先,结合数学分析和实际电网分析,从减少状态量的角度,实现方程由欠定变为恰定或超定,在保证系统状态完全可观的前提下,大大减少量测设备的数目;其次,将奇异值分解法(SVD)应用在系统可观部分的判断和计算中;然后,针对可观性分析中传统代数方法不足,结合矩阵条件数,提出一种实用的线性无关排序法,并将该方法用于指导不可观系统量测设备的调整和添加,实现系统良好的可观性。最后以菏泽—仿山220kV—110kV—35kV配电系统为例,对SVD和线性无关排序法进行说明,验证了方法的可行性。

关键词：谐波状态估计可观性分析线性无关排序法条件数奇异值分解