直流變換器的魯棒控制算法
發(fā)布時間：2018-11-02 08:51
【摘要】：DC-DC開關變換器控制問題的研究是當前功率電子學研究的主要方向之一，通過對它的控制來改善變換器的輸出電能質(zhì)量。相比于傳統(tǒng)的PWM控制，找到一種更有效控制方法來提高變換器的動態(tài)性能和穩(wěn)態(tài)性能指標，是當前形勢所需。 本文致力于研究Hē控制和無源控制等魯棒控制方法應用于DC-DC開關變換器的理論與技術。針對系統(tǒng)的干擾抑制問題和魯棒鎮(zhèn)定問題，通過建立變換器的確定模型和不確定模型，研究解決上述問題的魯棒控制算法。具體內(nèi)容如下： 1．考慮電路輸入端和輸出端擾動以及外部噪聲的影響，建立直流變換器的增廣狀態(tài)空間平均模型。應用Hē控制理論推導控制器算法來抑制干擾，以保證系統(tǒng)的魯棒穩(wěn)定性和動態(tài)響應性能。以boost變換器為例說明Hē控制器的計算過程，時域和頻域的仿真結(jié)果表明該算法得到的控制器對干擾抑制的有效性。 2.基于直流變換器的切換線性模型，提出了一種通過調(diào)節(jié)輸入電壓來穩(wěn)定輸出的魯棒控制算法。通過建立直流變換器的擴張切換線性模型，應用線性矩陣不等式(LMI)性質(zhì)和Hē控制理論，給出了該線性切換系統(tǒng)的Hē控制器存在的充分條件和設計方法的LMI形式。所得控制器使直流變換器閉環(huán)系統(tǒng)在任意切換策略下漸近穩(wěn)定且具有Hē性能界。Buck和boost變換器的仿真結(jié)果顯示了該控制器能有效抑制輸出端干擾，魯棒穩(wěn)定性好；可用任意常數(shù)占空比切換變換器系統(tǒng)，在參數(shù)擾動時自動調(diào)節(jié)輸入電壓實現(xiàn)輸出電壓穩(wěn)定在期望值上。 3.以buck直流變換器為研究對象，推導了非線性魯棒控制算法以達到減小干擾影響的目的。首先在buck變換器非線性模型的基礎上，建立具有擾動的系統(tǒng)誤差模型。然后根據(jù)無源性控制理論，得到Hē控制器及其參數(shù)約束條件，并理論分析了閉環(huán)控制系統(tǒng)的穩(wěn)定性。最后對buck變換器元件參數(shù)擾動的情況進行數(shù)值模擬和電路仿真來驗證該控制算法的正確性和有效性。 4.考慮buck變換器中的多個參數(shù)存在不確定的情況，通過一階泰勒近似的方法建立buck變換器的參數(shù)不確定模型，應用LMI和Hē控制理論，研究其輸出反饋Hē控制算法。給出該不確定buck系統(tǒng)的輸出反饋Hē控制器存在的充分條件和計算方法，所得控制器使得buck變換器閉環(huán)系統(tǒng)在多個參數(shù)小范圍變化的情況下漸近穩(wěn)定且對外部噪聲的抑制具有最大Hē魯棒性能界。 5.為提高直流變換器對干擾及不確定因素的魯棒性，提出了一種基于LMI的魯棒PID控制算法。PID參數(shù)應用區(qū)域極點配置的方法來整定。將PID控制和Hē控制相結(jié)合，以LMI形式給出Hē PID控制器的可解性條件。所得的控制器使得閉環(huán)系統(tǒng)滿足：閉環(huán)極點分布在指定區(qū)域內(nèi)以獲得期望的動態(tài)特性；對外部噪聲的抑制具有最大Hē魯棒性能界。此外，該控制算法也可應用于參數(shù)不確定的多胞型直流變換器系統(tǒng)。 6.應用非線性系統(tǒng)無源化方法研究了Buck變換器的控制策略�；贐uck變換器的非線性誤差模型，，通過坐標變換得到與之反饋等價的系統(tǒng)。根據(jù)無源理論，對反饋等價系統(tǒng)施加適當反饋使之無源化，給出了閉環(huán)系統(tǒng)無源性證明，并構(gòu)造Lyapunov函數(shù)保證閉環(huán)系統(tǒng)的漸近穩(wěn)定性，進而得到Buck變換器的無源反饋控制律。設計了該無源控制器的Pspice仿真電路，仿真結(jié)果表明該無源控制的Buck變換器輸出的穩(wěn)定性可以得到有效控制，對負載擾動和輸入電壓擾動的魯棒性好，且調(diào)整控制律中的可調(diào)系數(shù)可以改善系統(tǒng)的動態(tài)響應。
[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,
【學位授予單位】：華南理工大學
【學位級別】：博士
【學位授予年份】：2014
【分類號】：TM46
本文編號：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,
【學位授予單位】：華南理工大學
【學位級別】：博士
【學位授予年份】：2014
【分類號】：TM46
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