外文翻譯---具有積分滑?？刂频膬?nèi)埋式永磁同步電動(dòng)機(jī)基于線性矩陣不等式的模糊控制(編輯修改稿)
2025-06-26 10:36 本頁(yè)面
【文章內(nèi)容簡(jiǎn)介】 rall scheme of the H??LMI TS fuzzy control system is as follows. H??LMI TS fuzzy based ISMC controller designed as following steps. . utilize the equilibrium point to calculate the error system. System (22) can be presented by state form as: （ 23） where x1(t) ?iq , x2(t) ?id , x3(t) ?wr ,u10(t) ?vq and u20(t) ?vd . Based on (23), a reference system can be given as: （ 24） where f means the required value. Then the following error dynamic system is derived. （ 25） where e?t??x?t??xf ?t??. determine for membership function. For x1 minimum case: ?For x1 maximum case: ?For x2 minimum case: ?For x2 maximum case: The fuzzy rules are as the follows: x1 is minimal and x2 is minimal: M1(t) ?E1(t)G1(t) （ 26） x1 is minimal and x2 is maximal: M2(t) ?E1(t)G2(t) (27) x1 is maximal and x2 is minimal: M3(t) ?E2(t)G1(t) (28) x1 is maximal and x2 is maximal: M4(t) ?E2(t)G2(t) (29) . obtain the matrixes A and B. Equation (25) can be of the following form: and the value of ( x1lim , x2lim ) is based on the rule1 to rule 4, it gets to be x1min,x1max,x2min and x2max . . calculate controller parameters K using LMI toolbox based on Theorem 1. By LMI, the error systemcontrol input is defined by (6) as （ 31） where k j is a 1by 3 matrix. Use inequality (13) and Matlab LMI toolbox to calculate out the parameters k j . So that, H??TS fuzzy controller of the system is where u1 f and u2 f are reference inputs. . Design ISMC for system. Based on the SMC matching condition the system with disturbance is as follows: （ 32） where d(t) is the noise or disturbance. The sliding surface is defined as: （ 33） x1r and x2r are required output values, x1n and x2n are states of nominal system: （ 34） Assume u1(t)?u10(t)?u1s(t) and u2(t)?u20(t)?u2s(t) .Derivate of sliding surfaces are: （ 35） where e1n(t)?x1(t)?x1n(t) , e2n(t)?x2(t)?x2n(t) , un(t) is the nominal control input and us1 and us2 are sliding control inputs. The sliding controller finally is given out as: （ 36） where d1max and d1max are the maximal absolute values of disturbance. IV. SIMULATION RESULTS Use the controller design process in above sections with the parameters of . Simulation results are: . IPMSM PARAMETERS. . result of iq with parameter uncertainty and disturbance. of id with parameter uncertainty and disturbance. Required output values are From the result of and , we can see that some kind of disturbance can not be solved only by H??LMI TS fuzzy. Combination with ISMC solves this perfectively. V. CONCLUSIONS The Fuzzy LMI controller is used for IPMSM. It uses the linear models for each operating points. It is shown that only four operating points are enough for the proposed control method. The controller of this paper gives good control performance with only four membership functions which are determined easily. H??fuzzy LMI solved the initial big input for IPMSM from ISMC, while ISMC solved the problem of H??fuzzy which is so dependent on fuzzy rules. The final results show that the bination control is efficient and perfect. 具有積分滑模控制的 內(nèi)埋式永磁同步電動(dòng)機(jī) 基于線性矩陣不等式的模糊控制 王發(fā)光 , Seung Kyu Park, Ho Kyun Ahn 韓國(guó)昌原國(guó)立大學(xué)電機(jī)工程學(xué)系 近期摘要， 內(nèi)埋式永磁同步電動(dòng)機(jī)被廣泛的用于各種各樣的應(yīng)用中，例如電動(dòng)汽車和壓縮機(jī)。它對(duì)寬負(fù)荷變化、高速度條件、穩(wěn)定性、快速的反應(yīng)有較高的要求，最重要的是它使用簡(jiǎn)便，效率高。但是對(duì)內(nèi)埋式永磁同步電動(dòng)機(jī)的控制要比表面式永磁同步電動(dòng)機(jī)困難，這是由于它的非零 d軸電流產(chǎn)生的非線性而造成的，而 d軸電流在表面式永磁同步電動(dòng)機(jī)中是可以為零的。在本論文中，內(nèi)埋式永磁同步電動(dòng)機(jī)通過運(yùn)用有以確定工作點(diǎn)為基礎(chǔ)的線性模型的線性控制和模糊控制的結(jié)合而變得非常有效率。 線性矩陣不等式（ LMI）的積分 滑?？刂埔材軌蛴糜诖_保魯棒性，論文中的隸屬函數(shù)可以很容易的確定和實(shí)施。 索引條目 —— 模糊控制、 控制、積分滑?？刂啤?nèi)埋式永磁同步電動(dòng)機(jī)(IPMSM)、線性矩陣不等式。 I. 導(dǎo)論 從 20世紀(jì)八十年代開始，伴隨著半導(dǎo)體技術(shù)的發(fā)展，由轉(zhuǎn)換器電源供應(yīng)的內(nèi)埋式永磁同步電動(dòng)機(jī)已經(jīng)被廣泛的研究。微機(jī)技術(shù)的發(fā)展使得單芯片控制的內(nèi)埋式永磁同步電動(dòng)機(jī)的矢量控制系統(tǒng)相當(dāng)?shù)氖炀殻瑑?nèi)埋式永磁同步電動(dòng)機(jī)對(duì)于調(diào)速驅(qū)動(dòng)器所具有的特別的特征使它區(qū)別于別的種類的交流電機(jī)，特別是表面式永磁同步電動(dòng)機(jī)。高性能驅(qū)動(dòng)器的主要標(biāo)準(zhǔn)是快速、精確的速度響應(yīng)、從任何干擾速度的快速恢復(fù)和對(duì)參數(shù)變化的不敏感性。為了達(dá)到高性能，采用了內(nèi)埋式永磁同步電動(dòng)機(jī)的矢量控制。由于 d軸電流的非零值而造成的超前轉(zhuǎn)矩的非線性使得對(duì)內(nèi)埋式永磁同步電動(dòng)機(jī)的控制技術(shù) 變得復(fù)雜。在內(nèi)埋式永磁同步電動(dòng)機(jī)的矢量控制方面很多研究者把重點(diǎn)放在強(qiáng)迫 d軸電流接近于零，這本質(zhì)上是使點(diǎn)擊模型線性化。但是，本質(zhì)上在實(shí)時(shí)中它的電磁轉(zhuǎn)矩是非線性的。為了在一個(gè)現(xiàn)實(shí)的內(nèi)埋式永磁同步電動(dòng)機(jī)中納入非線性，一種叫做每安培最大轉(zhuǎn)矩 (MTPA)的控制技術(shù)被設(shè)計(jì)出來，它能夠用最小的定子電流提供最大的轉(zhuǎn)矩。這種策略從內(nèi)埋式永磁同步電動(dòng)機(jī)和逆變器等分級(jí)的限制的觀點(diǎn)來看是非常的重要，它能夠優(yōu)化驅(qū)動(dòng)器的效率。相關(guān) MTPA控制技術(shù)的困難是由于 d軸和 q軸電流存在復(fù)雜的關(guān)系使得在實(shí)時(shí)執(zhí)行時(shí)變得復(fù)雜。因此，本論文的一個(gè)主要目 的是為內(nèi)埋式永磁同步電動(dòng)機(jī)作出一種高效的控制方法，而且它的計(jì)算需簡(jiǎn)單、高效。線性矩陣不等式模糊
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