基于SG的Buck变换器自适应反步法控制

针对Buck变换器的非线性特性,考虑在电感电流连续导通模式下的数学模型,采用自适应反步法设计其闭环控制器,同时基于System Generator提出了数字控制器的实现方法,并分析了其负载扰动和电源扰动特性,将仿真结果与PI控制方式相比较,结果表明自适应反步控制的优越性和System Generator设计开发的有效性,为FPGA实现Buck变换器的数字控制器提供了新的设计流程,也为进一步研究其他DC-DC变换器的非线性控制提供了新思路.     

基于SG的Boost变换器T-S模糊建模与控制

针对Boost变换器的非线性特性,基于分段线性电子电路仿真(PLECS)软件建立了电感电流连续状态下Boost变换器的仿真模型,采用T-S模糊控制方法设计了控制器,提出了一种用SG对Boost变换器控制器实现的新方法,并分析了负载及电源电压变动下的控制性能.仿真结果表明PLECS建模的正确性和T-S模糊控制器优越性,且验证System Generator设计开发的有效性.     

磁流变阻尼器用降压式变换器建模与仿真研究

研究磁变阻尼器性能优化问题,分析了负载为磁流变阻尼器的 Buck 变换器的动态工作过程,为系统实现减振效果,给出了不另加滤波电感的原冈.基于三端 PWM 开关模型法,建立了电流驱动器的小信号平均模型,列出了占空比对输出电压、电感电流的传递函数.根据峰值电流模式下 Buck 变换器的工作原理,分别分析了电流内环和电压外环.同时设计了斜坡补偿电路和电压补偿网络.根据变换器工作原理,在 Saber 中建立了峰值电流模式下 Buck 变换器模型,并进行了仿真研究,仿真结果表明了建模设计方法的正确性性和可行性,这将为磁流变阻尼器电流驱动器设计提供了新思路和方法,也将缩减了电流驱动器电路设计的开发周期.     

Buck-Boost DC-DC变换器中分叉与混沌问题的研究(Ⅰ)——建模与仿真

研究了电流控制型Buck-Boost变换器中的分叉与混沌问题. 首先, 对连续模式下的Buck-Boost变换器建立了离散数学模型, 在此基础上, 在输入电压E、参考电流Iref、电阻R、电感L和电容C等分叉参数作用下, 通过数值方法对Buck-Boost变换器中的分叉与混沌进行了详细的仿真研究. 仿真研究结果表明: Buck-Boost变换器具有丰富的非线性行为———分叉与混沌, 随着各个分叉参数的变化系统会遵循倍周期分叉的规律走向混沌.     

Buck-BOOst DC-DC变换器中分叉与混沌问题的研究(Ⅱ)--数值分析与实验

研究了电流控制型Buck-Boost变换器中的分叉与混沌问题.在连续模式下的Buck-Boost变换器的离散数学模型基础上,从不动点及稳定性理论的角度对Buck-Boost变换器的第一分叉点进行了严格的数值分析,得到了三维参数空间曲面图.此外,建立了实验硬件电路,实验结果验证了理论分析.     

两控制变量PT控制PCCM Buck-Boost变换器

为减小电感惯性模态期间电感电流下降对下一周期脉冲的影响,根据伪连续导电模式(Pseudo Continuous Conduction Mode,PCCM)Buck-Boost变换器的工作特点,提出一种新的脉冲序列(Pulse Train,PT)控制策略。控制策略中包含两个控制变量,使控制器根据不同能量的电压控制脉冲产生不同的电流控制脉冲。详细分析了新型PT控制策略下PCCM Buck-Boost变换器的工作过程,给出了高低能量电压控制脉冲比。仿真与实验结果验证了新型控制策略的可行性及理论分析的正确性。     

交错并联技术在无损电阻中的应用

无损电阻由于开关元件的存在而产生很大的电流脉冲,其等效电阻也是时变的,这严重限制了无损电阻的应用.为了降低由于开关元件的存在而造成的脉冲电流,改善无损电阻的特性,以工作在不连续导通模态下Buck-Boost变换器为具体研究对象,分析了无损电阻的建模原理,并给出了带低通滤波器的Buck-Boost变换器的无损电阻模型,将新近几年在电力电子领域比较活跃的交错并联技术引入到无损电阻,用以改善无损电阻的特性.仿真实验验证了方案的可行性,说明了交错并联技术对无损电阻的集成化和实用化有很大的促进作用.     

一种交错并联Boost PFC变换器的控制方法

针对交错并联Boost PFC变换器工作在电流临界模式(Critical Conduction Mode,CRM)时,过零检测方法复杂和输入电流波形畸变的问题,提出了一种新颖的控制方法。该方法基于新型开关管电压检测电路,通过检测MOS管漏源电压,并经由比较器得到过零信号,实现了开关管的零电压开通或谷底开通,极大地降低了开关损耗。采用开关管导通时间补偿策略,提高电感电流平均值,改善了由电感和MOS管寄生电容谐振导致的输入电流波形畸变现象。最后,搭建了一台800 W的样机,实验结果验证了该方法的有效性和可行性。     

DC-DC变换器在恒功率负载下的能控性

带有恒功率负载的DC-DC变换器是切换非线性系统.以Boost变换器为例,本文建立了其切换系统模型;它包括三个模态.模态I,II,III分别对应于开关器件导通、关断、电感电流断续时的电路拓扑.因为电容电压是非负的,所以本文对平面拓扑学的最新结果加以修正,导出了半平面仿射非线性系统全局能控的充分必要条件——判别函数在任意非零控制曲线上变号.据此证明了模态II的全局能控性.由于模态II为运转中的必经阶段,故切换系统能控.研究方法也适用于Buck等变换器的能控性分析.     

基于注吸电流法的Buck-Boost变换器建模与仿真

该文详细介绍了注吸电流法的建模思想和步骤，并应用注吸电流法建立了工作在电感电流断续（DCM）模式下的Buck—Boost变换器数学模型。对Buck—Boost变换器及其PI调节器构成的闭环控制系统进行了分析研究。应用Simulink＼Sim-owerSystem模块，建立了该系统的Matlab仿真模型，并进行了相应的仿真分析。仿真结果表明，所得Buck—Boost变换器数学模型的精确性和可用性可以满足要求，能够真实反映该系统的动、静态性能。满意的仿真结果与理论分析取得了一致，验证了该模型的正确性。     

Boost变换器的T-S模糊建模与控制

针对Boost变换器的非线性特性,考虑变换器参数不同情况对系统模型的影响,分别建立了参数确定和参数不确定条件下Boost变换器的等价T-S模糊模型。基于建立的等价T-S模糊模型,利用Lyapunov函数方法和线性矩阵不等式方法,给出了Boost变换器并行分配补偿模糊控制器的参数化设计方法。仿真结果表明,所建立的Boost变换器T-S模糊模型是可靠的,所设计的模糊控制器与模糊PI相比具有较强的鲁棒性和抗扰性。     

并联Boost变换器T-S建模与控制

在并联Boost变换器建模过程中,含有状态量的输入矩阵使得模型具有非线性特点,本文针对并联Boost变换器的这一特点,建立Boost变换器等价T-S模型,并根据建立的模型,利用Lyapunov函数方法和线性不等式方法,采用并行分配补偿(PDC)策略设计非线性T-S模糊控制器。仿真结果表明:本文所建立的并联Boost变换器的模型是准确的,设计的T-S模糊控制器是可靠的,系统工作稳定并且具有较强的抗扰动性能。     

Stability and asynchronous stabilization for a class of discrete-time switched nonlinear systems with stable and unstable subsystems

The stability analysis and asynchronous stabilization problems for a class of discrete-time switched nonlinear systems with stable and unstable subsystems are investigated in this paper. The Takagi-Sugeno (T-S) fuzzy model is used to represent each nonlinear subsystem. Through using the T-S fuzzy model, the studied systems are modeled into the switched T-S fuzzy systems. By using the switching fuzzy-basis-dependent Lyapunov functions (FLFs) approach and mode-dependent average dwell time (MDADT) technique, the stability conditions for the open-loop switched T-S fuzzy systems with unstable subsystems and asynchronous stabilization conditions for the closed-loop switched T-S fuzzy systems with unstable subsystems are obtained. Both the stability results and asynchronous stabilization results are derived in terms of linear matrix inequalities (LMIs). Finally two numerical examples are provided to illustrate the effectiveness of the results obtained.     

Imperfect premise matching controller design for T-S fuzzy systems under network environments

This paper focuses on an imperfect premise matching controller design for T-S fuzzy systems under network environments. Different with the traditional parallel distribution compensation (PDC) method, the same premises between the PDC controller and the T-S fuzzy systems are no longer needed again in the proposed method. Under consideration of the unmatched grades of membership in the networked T-S fuzzy systems, a unified T-S fuzzy model is firstly proposed, in which a networked state-feedback fuzzy controller with communication delays is used to reconstruct the system. Then, based on the constructed model and by use of the Wirtinger-based inequality technique to deal with the cross items, two less conservative stability and stabilization criteria are derived to enhance the design flexibility. Finally, two numerical examples are used to show the effectiveness of proposed method.     

The impulse analysis of the T-S fuzzy singular system via Kronecker index

The problem of impulse analysis is considered for the T-S fuzzy singular system by using the Kronecker index and the generalised Kronecker index in this paper. The T-S singular system is divided into two cases: the uniformly regular T-S fuzzy singular system and the non-uniformly regular T-S fuzzy singular system. The contribution of this paper is twofold. First, a new definition of the generalised Kronecker form is introduced, and the algorithm of finding the generalised Kronecker form is given. Second, two theorems are proved, one is that the uniformly regular T-S fuzzy singular system is impulsive if and only if the Kronecker index is greater than one, the other one is the non-uniformly regular T-S fuzzy singular system is impulsive if and only if the generalised Kronecker index is greater than one. Finally, two numerical simulations and the population model with stage structure are carried out to show the consistency with theoretical analysis and illustrate the effectiveness of the algorithm.     

Improved L2 Gain Performance Controller Synthesis for Takagi–Sugeno Fuzzy System

In this paper, an improved L2 gain performance controller synthesis is proposed for Takagi-Sugeno (T-S) fuzzy system. The T-S fuzzy controller can be easily derived by a three-step procedure with the linear matrix inequalities (LMIs) technique. First, a new T-S fuzzy model structure is presented, which includes the original T-S fuzzy plant with stable pre- and post filters on the input and output of the original plant. Second, by using this structure the L2 gain performance controller design problem can be easily transformed into standard LMIs formulation. Compared with the previous results, it not only gives us a simple structure of the T-S fuzzy controller, but also provides us effective LMIs-based conditions, which include a small number of unknown matrix variables; consequently, less value of L2 gain performance of the closed-loop system can be obtained. Third, an augmented T-S fuzzy controller which guarantees L2 gain performance is obtained for the original T-S fuzzy plant, which is composed of the T-S controller derived from step two and two stable pre- and post filters. Finally, some numerical examples are demonstrated to show the effectiveness of the proposals.     

Takagi-Sugeno模糊连续系统的模糊采样控制

研究了T-S模糊连续系统的模糊采样控制问题．利用广义系统的描述方法、Lyapunov-Krasovikii泛函以及线性矩阵不等式(LMI)方法,建立了LMIs形式的依赖于采样时间间隔的模糊采样镇定条件,同时给出了模糊采样控制律的设计方法．所设计的模糊采样控制律可以镇定T-S模糊系统．而且,当连续时间模糊控制律可以镇定T-S模糊系统时,对于足够小的采样时间间隔,带有同样增益矩阵的模糊采样控制律也可以镇定T-S模糊系统．最后,通过两个仿真实例说明了所给方法的有效性．