本文選題：永磁同步電機(jī) + LMI　； 參考：《華南理工大學(xué)》2014年博士論文

【摘要】：永磁同步電機(jī)(PMSM)以其結(jié)構(gòu)簡(jiǎn)單、高功率密度、高效可靠、靈活的控制方式、大扭矩等特點(diǎn),在電力傳動(dòng)、伺服驅(qū)動(dòng)、電動(dòng)汽車(chē)、新能源風(fēng)力發(fā)電、機(jī)器人等方面獲得了廣泛應(yīng)用。研究、分析、設(shè)計(jì)高性能的永磁同步電機(jī)控制系統(tǒng)具有重要的現(xiàn)實(shí)意義和應(yīng)用價(jià)值。然而PMSM存在著諸如定子電流、電磁轉(zhuǎn)矩、轉(zhuǎn)子磁鏈的耦合,系統(tǒng)飽和及退磁現(xiàn)象、參數(shù)攝動(dòng)和外部擾動(dòng)、混沌運(yùn)動(dòng)等諸多不利因素,直接導(dǎo)致控制系統(tǒng)的靜動(dòng)態(tài)性能下降。本論文在綜述PMSM分析與控制研究現(xiàn)狀的基礎(chǔ)上,對(duì)PMSM控制系統(tǒng)的分析與設(shè)計(jì)進(jìn)行了較為深入的研究,以期進(jìn)一步揭示PMSM的性質(zhì),為PMSM的分析與設(shè)計(jì)提供一種新的思路和途徑。主要研究工作和創(chuàng)新點(diǎn)如下:(1)針對(duì)PMSM不確定系統(tǒng),提出系統(tǒng)魯棒穩(wěn)定與鎮(zhèn)定的充分條件。深入分析不同坐標(biāo)系下PMSM數(shù)學(xué)模型的基礎(chǔ)上,首先針對(duì)PMSM系統(tǒng)數(shù)參數(shù)攝動(dòng)和外部擾動(dòng)的情形,獲得Laplace變換的解析解。然后,利用Gronwall-Bellman引理獲得系統(tǒng)零解漸近穩(wěn)定的充分條件。進(jìn)一步,基于Lyapunov穩(wěn)定性理論,利用矩陣代數(shù)變換獲得基于線性矩陣不等式(LMI)穩(wěn)定性條件。最后,基于以上穩(wěn)定性條件,獲得PMSM不確定系統(tǒng)魯棒狀態(tài)反饋控制器設(shè)計(jì)方法。(2)針對(duì)PMSM系統(tǒng),提出PMSM系統(tǒng)基于觀測(cè)器的狀態(tài)反饋魯棒控制方法�？紤]參數(shù)不確定性的情形下,首先設(shè)計(jì)一種全維觀測(cè)器,應(yīng)用Lyapnov穩(wěn)定性理論獲得閉環(huán)系統(tǒng)的穩(wěn)定性條件。然后借助矩陣奇異值分解技巧,將穩(wěn)定性條件轉(zhuǎn)化為易于求解的LMI條件。進(jìn)一步根據(jù)穩(wěn)定性條件,獲得永磁同步電機(jī)的觀測(cè)器-反饋控制器,實(shí)現(xiàn)電機(jī)速度跟蹤控制。(3)針對(duì)永磁同步風(fēng)力發(fā)電機(jī)(PMSG)系統(tǒng),首先應(yīng)用逆系統(tǒng)控制理論和內(nèi)�？刂品椒�,實(shí)現(xiàn)永磁同步風(fēng)力發(fā)電系統(tǒng)混沌控制。然后針對(duì)PMSG不確定故障模型,設(shè)計(jì)收斂于原系統(tǒng)的全維和降維故障觀測(cè)器。進(jìn)一步,提出基于故障觀測(cè)器的PMSG系統(tǒng)執(zhí)行器故障檢測(cè)方法和故障重構(gòu)的數(shù)值算法。(4)針對(duì)PMSM系統(tǒng)速度跟蹤問(wèn)題,首先利用反推方法設(shè)計(jì)能準(zhǔn)確跟蹤永磁同步電機(jī)轉(zhuǎn)速和電流的反推控制器。然后考慮到狀態(tài)的不可測(cè),基于Lyaponov穩(wěn)定性定理設(shè)計(jì)滑模觀測(cè)器。利用狀態(tài)觀測(cè)器獲得的電機(jī)狀態(tài)估計(jì),將估計(jì)狀態(tài)應(yīng)用于反推控制器,實(shí)現(xiàn)對(duì)PMSM系統(tǒng)蹤控制。最后,分析并建立了PMSM系統(tǒng)僅極對(duì)數(shù)已知的多個(gè)系數(shù)未知的不確定性模型,考慮參數(shù)不確定性的情形下,設(shè)計(jì)自適應(yīng)反推控制器,實(shí)現(xiàn)對(duì)PMSM系統(tǒng)的高精度控制。
[Abstract]:PMSM (permanent Magnet synchronous Motor) is characterized by its simple structure, high power density, high efficiency and reliability, flexible control mode, large torque, etc., in electric drive, servo drive, electric vehicle, new energy wind power generation, etc. Robots have been widely used in many fields. The research, analysis and design of high performance permanent magnet synchronous motor control system have important practical significance and application value. However, there are many unfavorable factors in PMSM, such as stator current, electromagnetic torque, rotor flux coupling, system saturation and demagnetization, parameter perturbation and external disturbance, chaotic motion and so on, which directly lead to the degradation of static and dynamic performance of the control system. On the basis of summarizing the research status of PMSM analysis and control, this paper makes a deep research on the analysis and design of PMSM control system, in order to further reveal the nature of PMSM, and provide a new way for the analysis and design of PMSM. The main research and innovations are as follows: (1) for PMSM uncertain systems, sufficient conditions for robust stability and stabilization are proposed. Based on the analysis of PMSM mathematical models in different coordinate systems, the analytical solution of Laplace transform is obtained for the case of the perturbation of the number parameters and the external disturbances of the PMSM system. Then, the sufficient conditions for the asymptotic stability of the zero solution of the system are obtained by using the Gronwall-Bellman Lemma. Furthermore, based on Lyapunov stability theory, the stability conditions based on linear matrix inequalities (LMI) are obtained by matrix algebraic transformation. Finally, based on the above stability conditions, a robust state feedback controller design method for PMSM uncertain systems is obtained. (2) for PMSM systems, an observer based robust state feedback control method for PMSM systems is proposed. In the case of parameter uncertainty, a full-order observer is first designed, and the stability conditions of the closed-loop system are obtained by using Lyapnov stability theory. Then the stability condition is transformed into the LMI condition which is easy to solve with the help of matrix singular value decomposition technique. Furthermore, according to the stability condition, the observer feedback controller of PMSM is obtained, and the speed tracking control of PMSG3 is realized. Firstly, the inverse system control theory and the internal model control method are applied to the PMSG system. The chaos control of permanent magnet synchronous wind power generation system is realized. Then, aiming at the PMSG uncertain fault model, a full-dimension reduced-order fault observer converging to the original system is designed. Furthermore, a fault detection method for PMSG system based on fault observer and a numerical algorithm for fault reconstruction are proposed. Firstly, a backstepping controller is designed to track the speed and current of PMSM accurately. Then considering the unmeasurable state, the sliding mode observer is designed based on Lyaponov stability theorem. The state estimation of the motor obtained by the state observer is applied to the backstepping controller to realize the tracer control of the PMSM system. Finally, several uncertain models with unknown coefficients are analyzed and established for PMSM system with only the extremely logarithmic known. In the case of parameter uncertainty, an adaptive backstepping controller is designed to control the PMSM system with high precision.
【學(xué)位授予單位】：華南理工大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2014
【分類(lèi)號(hào)】：TM341

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本文編號(hào)：1858659