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 摘要:本文綜合了自適應(yīng)神經(jīng)元控制器與交叉耦合控制方法的優(yōu)點(diǎn),引進(jìn)輪廓誤差的二次性能指標(biāo),設(shè)計(jì)了應(yīng)用于拋物線軌跡加工的交叉耦合自適應(yīng)神經(jīng)元控制器。該控制用具有良好的自適應(yīng)學(xué)習(xí)能力,無(wú)須對(duì)控制對(duì)象建模,結(jié)構(gòu)簡(jiǎn)單,實(shí)時(shí)性好,實(shí)驗(yàn)證實(shí)可有效減小拋物線輪廓誤差。

關(guān)鍵詞:自適應(yīng)神經(jīng)元 交叉耦合控制 拋物線

Research on application of the cross-coupled controller based on single neuron
to the parabola contour

Shi Yi et al804112-R /57C413B

Abstract:This paper proposes the control strategy of the cross-coupled controllerbased on single neuron for parabola contour, which combines with the adaptive neuron controller and cross-coupled controller. The controller needn't model the system, it has the simple structures and the adaptive ability. The experiment results prove the effectivness of the controller.
Keywords: Adaptive nenron Cross-coupled control Parabola

1 引言

傳統(tǒng)的PID方法由于結(jié)構(gòu)簡(jiǎn)單,調(diào)整方便,因此目前仍被廣泛地應(yīng)用。但是對(duì)一些過(guò)程復(fù)雜且參數(shù)慢時(shí)變的系統(tǒng),PID的參數(shù)則顯出不能實(shí)時(shí)在線調(diào)整、魯棒性差、參數(shù)整定復(fù)雜等很多不足。而神經(jīng)網(wǎng)絡(luò)由于具有自學(xué)習(xí)、自適應(yīng)、聯(lián)想記憶、并行處理等能力,使其近來(lái)年在控制領(lǐng)域中的研究和應(yīng)用得到很大發(fā)展。單神經(jīng)元是神經(jīng)網(wǎng)絡(luò)中zui基本的單元,它結(jié)構(gòu)簡(jiǎn)單,易于用作實(shí)時(shí)控制,并具有良好的控制性能,已經(jīng)應(yīng)用于伺服系統(tǒng)的控制領(lǐng)域,且在單軸位置伺服系統(tǒng)的控制方面取得了一定的成果【1】【2】,但在多軸位置伺服系統(tǒng)的輪廓控制方面,由于各軸系統(tǒng)動(dòng)態(tài)特性不匹配而造成較大的輪廓誤差,單個(gè)自適應(yīng)神經(jīng)元控制器分別作用的控制效果則不很理想。對(duì)于多軸系統(tǒng)的輪廓控制,文獻(xiàn)【3】【4】【5】研究了交叉耦合控制方法,該方法將多軸系統(tǒng)作為整體考慮,使運(yùn)動(dòng)過(guò)程中各系統(tǒng)產(chǎn)生的輪廓誤差影響每個(gè)伺服結(jié)構(gòu)的控制作用,通過(guò)調(diào)整影響權(quán)值減少總的輪廓誤差,降低多軸系統(tǒng)動(dòng)態(tài)特性的不匹配。這種方法可以取得一定的效果,但其調(diào)整權(quán)值一般是不能進(jìn)行在線調(diào)整的,魯棒性較差,且控制器的運(yùn)算較復(fù)雜,尤其是對(duì)于復(fù)雜軌跡,不便于進(jìn)行實(shí)時(shí)控制,這就是交叉耦合控制方法的不足之處。
本文根據(jù)文獻(xiàn)【6】結(jié)合自適應(yīng)神經(jīng)元與交叉耦合控制器的優(yōu)點(diǎn),引進(jìn)輪廓誤差的二次性能指標(biāo),對(duì)于拋物線軌跡,設(shè)計(jì)了以有效隆低輪廓誤差為目的的交叉耦合自適應(yīng)神經(jīng)元控制器,給出了控制算法收斂及穩(wěn)定的證實(shí)。這種算法簡(jiǎn)單,易于實(shí)時(shí)控制,并兼收單神經(jīng)元的適應(yīng)性與交叉耦合的控制方法,具有良好的控制效果。

2 拋物線軌跡交叉耦合自適應(yīng)神經(jīng)元控制算法

雙軸運(yùn)動(dòng)位置伺服系統(tǒng)已廣泛應(yīng)用于輪廓控制加工中,如何改善并進(jìn)步其輪廓精度一直是人們致力于研究并努力改善的目標(biāo)。根據(jù)文獻(xiàn)【4】【5】對(duì)雙軸伺服系統(tǒng)的性能分析可知,假如雙軸伺服系統(tǒng)中速度誤差系數(shù)不匹配,將存在較大的靜態(tài)輪廓誤差,而雙軸系統(tǒng)的時(shí)間常數(shù)及其它動(dòng)態(tài)性能參數(shù)的差異將影響動(dòng)態(tài)輪廓誤差。針對(duì)這種情況,文獻(xiàn)【3】【4】提出交叉耦合控制方法,結(jié)合單神經(jīng)元結(jié)構(gòu)簡(jiǎn)單、魯棒性好、具自適應(yīng)性的特點(diǎn),本文針對(duì)橢圓軌跡加工的特點(diǎn),采用交叉耦合自適應(yīng)神經(jīng)元控制器【6】,其結(jié)構(gòu)見(jiàn)圖1。

 

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Varian MUX Adapter PCB (01002599)

 

MKS 2000 SCCM Gas HE Mass Flow Meter (1258C-02000RV-?SPCAL)

 

Custom Apparatus w/ Moveable Lens (Optical)

 

Digital Equipment Corp DEC Legacy Equipment (LCG01-CC)

 

HP SureStore SCSI Tape 6000 4/8GB 4mm DAT C1528F (C1528-60003)

 

Morse Industrial 1-7/16" SealMaster Gold Line Pillow Block Bearing (NP-23)

 

Dell Optiplex GX240 P4 1.8 Ghz, 384MB, 40 GB, Tower Computer

 

Ametek Trim Series Force Gauge - Very Clean (T-50G-TC)

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