直流变换器的鲁棒控制算法
发布时间：2018-11-02 08:51
【摘要】：DC-DC开关变换器控制问题的研究是当前功率电子学研究的主要方向之一，通过对它的控制来改善变换器的输出电能质量。相比于传统的PWM控制，找到一种更有效控制方法来提高变换器的动态性能和稳态性能指标，是当前形势所需。 本文致力于研究Hē控制和无源控制等鲁棒控制方法应用于DC-DC开关变换器的理论与技术。针对系统的干扰抑制问题和鲁棒镇定问题，通过建立变换器的确定模型和不确定模型，研究解决上述问题的鲁棒控制算法。具体内容如下： 1．考虑电路输入端和输出端扰动以及外部噪声的影响，建立直流变换器的增广状态空间平均模型。应用Hē控制理论推导控制器算法来抑制干扰，以保证系统的鲁棒稳定性和动态响应性能。以boost变换器为例说明Hē控制器的计算过程，时域和频域的仿真结果表明该算法得到的控制器对干扰抑制的有效性。 2.基于直流变换器的切换线性模型，提出了一种通过调节输入电压来稳定输出的鲁棒控制算法。通过建立直流变换器的扩张切换线性模型，应用线性矩阵不等式(LMI)性质和Hē控制理论，给出了该线性切换系统的Hē控制器存在的充分条件和设计方法的LMI形式。所得控制器使直流变换器闭环系统在任意切换策略下渐近稳定且具有Hē性能界。Buck和boost变换器的仿真结果显示了该控制器能有效抑制输出端干扰，鲁棒稳定性好；可用任意常数占空比切换变换器系统，在参数扰动时自动调节输入电压实现输出电压稳定在期望值上。 3.以buck直流变换器为研究对象，推导了非线性鲁棒控制算法以达到减小干扰影响的目的。首先在buck变换器非线性模型的基础上，建立具有扰动的系统误差模型。然后根据无源性控制理论，得到Hē控制器及其参数约束条件，并理论分析了闭环控制系统的稳定性。最后对buck变换器元件参数扰动的情况进行数值模拟和电路仿真来验证该控制算法的正确性和有效性。 4.考虑buck变换器中的多个参数存在不确定的情况，通过一阶泰勒近似的方法建立buck变换器的参数不确定模型，应用LMI和Hē控制理论，研究其输出反馈Hē控制算法。给出该不确定buck系统的输出反馈Hē控制器存在的充分条件和计算方法，所得控制器使得buck变换器闭环系统在多个参数小范围变化的情况下渐近稳定且对外部噪声的抑制具有最大Hē鲁棒性能界。 5.为提高直流变换器对干扰及不确定因素的鲁棒性，提出了一种基于LMI的鲁棒PID控制算法。PID参数应用区域极点配置的方法来整定。将PID控制和Hē控制相结合，以LMI形式给出Hē PID控制器的可解性条件。所得的控制器使得闭环系统满足：闭环极点分布在指定区域内以获得期望的动态特性；对外部噪声的抑制具有最大Hē鲁棒性能界。此外，该控制算法也可应用于参数不确定的多胞型直流变换器系统。 6.应用非线性系统无源化方法研究了Buck变换器的控制策略。基于Buck变换器的非线性误差模型，，通过坐标变换得到与之反馈等价的系统。根据无源理论，对反馈等价系统施加适当反馈使之无源化，给出了闭环系统无源性证明，并构造Lyapunov函数保证闭环系统的渐近稳定性，进而得到Buck变换器的无源反馈控制律。设计了该无源控制器的Pspice仿真电路，仿真结果表明该无源控制的Buck变换器输出的稳定性可以得到有效控制，对负载扰动和输入电压扰动的鲁棒性好，且调整控制律中的可调系数可以改善系统的动态响应。
[Abstract]:The research of DC-DC switching converter control is one of the main directions of the current power electronics research, and the output power quality of the converter is improved by its control. Compared with the traditional PWM control, a more effective control method is found to improve the dynamic performance and steady-state performance of the converter, which is the current situation. This paper is devoted to the research of robust control methods such as H-phase control and non-source control, which are applied to the theory of DC-DC switching converters. Aiming at the problem of interference suppression of the system and the problem of rod stabilization, the robust control for solving the above problems is studied by establishing the determining model and uncertain model of the converter. Algorithm. Details 1. Considering the influence of the circuit input terminal and the output end disturbance and the external noise, the augmented state of the DC converter is established. An interval-averaged model is derived by using the H-phase control theory to deduce the controller algorithm to suppress the interference, so as to ensure the stability and stability of the bar of the system. In this paper, the calculation process, time-domain and frequency-domain simulation results of H-phase controller are illustrated by boost converter. Simulation results show that the controller can suppress the interference. 2. Based on the switching linear model of the DC converter, a method for stabilizing the input voltage by adjusting the input voltage is proposed. Based on the linear matrix inequality (LMI) property and H-function control theory, the sufficient conditions and design of the H-function controller of the linear switching system are given. The obtained controller makes the closed loop system of DC converter stable under any switching strategy. and the simulation results of Buck and boost converters show that the controller can effectively suppress the interference of the output end, the stability of the rod is good, the converter system can be switched with any constant duty ratio, The nonlinear robust control algorithm is derived by using buck DC converter as the research object. The purpose of reducing the interference is achieved. First, on the basis of buck converter non-linear model, it is established Then, based on the theory of non-source control, the H-function controller and its parameter constraints are obtained, and the theoretical analysis is carried out. The stability of closed-loop control system is discussed. Finally, numerical simulation and numerical simulation are carried out on the parameter perturbation of buck converter element to verify the control The correctness and effectiveness of the algorithm are given. 4. Considering the uncertain situation of multiple parameters in buck converter, the parameter uncertainty model of buck converter is established by a step Taylor approximation method, and the theory and the H-mode control theory are applied. In this paper, a sufficient condition and a calculation method of the output feedback H-function controller of the buck converter are given. The obtained controller makes the buck converter closed-loop system asymptotic stable and external noise under the condition of small range of parameters. In order to improve the robustness of the DC converter to the interference and uncertain factors, a new method is proposed. A PID Control Algorithm of Rubar Based on Hash Algorithm and PI The D parameter is set by the method of pole configuration of the region. PID control and H-mode control are combined to shape the shape. The controller makes the closed-loop system satisfied: the closed-loop pole is distributed in the designated area to obtain the desired dynamic characteristic; In addition, the control algorithm can also be applied to the suppression of noise. Multi-cell DC converter system with uncertain parameters. 6. Application of nonlinear systems The control strategy of Buck converter is studied without source method. Based on the nonlinear error of Buck converter On the basis of the non-source theory, the feedback equivalent system applies the appropriate feedback to make it non-source, gives the non-source proof of closed-loop system, and constructs Lyapunov function to ensure the asymptotic stability of closed-loop system. Furthermore, the source-free feedback control law of Buck converter is obtained. The Pspice simulation circuit of the non-source controller is designed. The simulation results show that the stability of the output of the non-source controlled Buck converter can be effectively controlled, the robustness of the load disturbance and the input voltage disturbance is good,
【学位授予单位】：华南理工大学
【学位级别】：博士
【学位授予年份】：2014
【分类号】：TM46
本文编号：2305533
[Abstract]:The research of DC-DC switching converter control is one of the main directions of the current power electronics research, and the output power quality of the converter is improved by its control. Compared with the traditional PWM control, a more effective control method is found to improve the dynamic performance and steady-state performance of the converter, which is the current situation. This paper is devoted to the research of robust control methods such as H-phase control and non-source control, which are applied to the theory of DC-DC switching converters. Aiming at the problem of interference suppression of the system and the problem of rod stabilization, the robust control for solving the above problems is studied by establishing the determining model and uncertain model of the converter. Algorithm. Details 1. Considering the influence of the circuit input terminal and the output end disturbance and the external noise, the augmented state of the DC converter is established. An interval-averaged model is derived by using the H-phase control theory to deduce the controller algorithm to suppress the interference, so as to ensure the stability and stability of the bar of the system. In this paper, the calculation process, time-domain and frequency-domain simulation results of H-phase controller are illustrated by boost converter. Simulation results show that the controller can suppress the interference. 2. Based on the switching linear model of the DC converter, a method for stabilizing the input voltage by adjusting the input voltage is proposed. Based on the linear matrix inequality (LMI) property and H-function control theory, the sufficient conditions and design of the H-function controller of the linear switching system are given. The obtained controller makes the closed loop system of DC converter stable under any switching strategy. and the simulation results of Buck and boost converters show that the controller can effectively suppress the interference of the output end, the stability of the rod is good, the converter system can be switched with any constant duty ratio, The nonlinear robust control algorithm is derived by using buck DC converter as the research object. The purpose of reducing the interference is achieved. First, on the basis of buck converter non-linear model, it is established Then, based on the theory of non-source control, the H-function controller and its parameter constraints are obtained, and the theoretical analysis is carried out. The stability of closed-loop control system is discussed. Finally, numerical simulation and numerical simulation are carried out on the parameter perturbation of buck converter element to verify the control The correctness and effectiveness of the algorithm are given. 4. Considering the uncertain situation of multiple parameters in buck converter, the parameter uncertainty model of buck converter is established by a step Taylor approximation method, and the theory and the H-mode control theory are applied. In this paper, a sufficient condition and a calculation method of the output feedback H-function controller of the buck converter are given. The obtained controller makes the buck converter closed-loop system asymptotic stable and external noise under the condition of small range of parameters. In order to improve the robustness of the DC converter to the interference and uncertain factors, a new method is proposed. A PID Control Algorithm of Rubar Based on Hash Algorithm and PI The D parameter is set by the method of pole configuration of the region. PID control and H-mode control are combined to shape the shape. The controller makes the closed-loop system satisfied: the closed-loop pole is distributed in the designated area to obtain the desired dynamic characteristic; In addition, the control algorithm can also be applied to the suppression of noise. Multi-cell DC converter system with uncertain parameters. 6. Application of nonlinear systems The control strategy of Buck converter is studied without source method. Based on the nonlinear error of Buck converter On the basis of the non-source theory, the feedback equivalent system applies the appropriate feedback to make it non-source, gives the non-source proof of closed-loop system, and constructs Lyapunov function to ensure the asymptotic stability of closed-loop system. Furthermore, the source-free feedback control law of Buck converter is obtained. The Pspice simulation circuit of the non-source controller is designed. The simulation results show that the stability of the output of the non-source controlled Buck converter can be effectively controlled, the robustness of the load disturbance and the input voltage disturbance is good,
【学位授予单位】：华南理工大学
【学位级别】：博士
【学位授予年份】：2014
【分类号】：TM46
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