




版權(quán)說明:本文檔由用戶提供并上傳,收益歸屬內(nèi)容提供方,若內(nèi)容存在侵權(quán),請進行舉報或認領(lǐng)
文檔簡介
1、322Vol.32,No.2 20063ACTA AUTOMATICA SINICA March,20061(116024TP274Application of a Novel Grey Relation Analysis Algorithmto Soft SensorLI Yong SHAO Cheng(Institute of Advanced Control Technology,Dalian University of Technology,Dalian116024Abstract As an eective technique of on-line measurement,soft
2、sensor has been studied by many eorts.Being the premise of soft sensor,it is important to select secondary variables, which can directly inuence the eciency of soft sensor.Grey relation analysis gives a novel method to dig correlation between variables and is suitable to conrm the correlation degree
3、 between little-sample data in uncertain systems.Through a detailed analysis of secondary variablesselection for soft sensor,a uniform incidence degree algorithm is presented based on grey relation theory to eciently select secondary variables.And a practical method to eliminate redundant variables
4、is also proposed.Meanwhile,a practical example is given to verify the feasibility and eectiveness of the method.Simulation results show that the method is ecient and helpful to enhance the accuracy of soft sensor.Key words Soft sensor,grey relation analysis,uniform incidence degree,radiate basis net
5、work3123223131+ |x i(k|¯j (1x i(k=x i(k+1x i(k(231432m1mk=2|x z(k|,z=i,j(4x i,x j k mµijr ijkx i(kx j(k>0x i(k=x j(k=0,x i,x j kk=1,x i(kx j(k=0x i(k=x j(k,x i,x j kk=0,x i(kx j(k<0,x i,x j kk=1,v ij(k=1¯i |x j(kx j(k1|m1m1k=1kµij(k ,= 1m1l m1k1=t1k1µij(k1(7Z ij=1m1d m
6、3k3=d1k3µij(k3(9m1+m2+m3=m1(10 r ij 12315¯z <x z(k+10.8320.71µ 32 2 Û º¿¡ ¡ ÓÁ « Ç ´ ¡ Û ÅÓ ¡¶ «¹ Ý Û Å C, Ê Ý Û Å F , C ¯ Ä m ¦ n ¿¸
7、; Ó (2m n. 3 C ¯ª ¦Ó ¯Ì Á « º ¿ Ê F (É ± ¯¡ + + ¦ º Í, Ä t ¿ ¯ ¡¶ «Ì F ¯ Ä ¹ F , F ¯ Å À Û¿ Ì ¤ 4 ¬ ¹ É &
8、#206; C ¯ Ê ¯ ´ 0 n t ¿ Ì F+ ¯ ¸ ¹¡ ´ Í §¤ 5 § ¶ « ¡ ¡± ¡ §·´ ¡ ¿ » º ¿ ¤ Û ¿¡ Û º ¼ ÓÁ « ¡ Æ &
9、#206; ¡ ½ ¤ Ø ¸ ·Ó ¡ ¿¡ · ¡ ¸ ¼ Å ÇÊ ¡Ì Ó ¦ ¿¡½ Ù Ü ¤ Ê ¯ ¡ÃÇ Û ¿ ¡½Ò ¦´ Ä È Ä ©
10、9;¡ ¡ ¿¡ Å Ö¤¾ RBF ³ À ¥ ©Í ¡¾ OLS © À ¥ ¤ ³ ÝÁ ¡ ¿ Ì Ó ¡´ § ¡± ¡ §·Õ ¤ ´ ¡¾ ´ §« &
11、#201; ² 2 ´ Ý ¤ ³ 2 Ö°¬ ¥ ± 316 19 50 º 14 º ¾¯Ã ¦ ¾ ´ ¿ § ¿ Table 2 Ô§ 0.21% º ¢ Experimental performance index Ô§ 0.3% ¼¢ §Ô§ 0.64% º
12、 ¢ §Ô§ 0.91% ¼¢ Á ¡ ¡ Ñ É 1. 1 (a: b: Fig. 1 Soft sensor result of grinding concentration (a: Processed real value; b: Estimation ð£Î Í ´ ÉÌ Ö ¥ £ ª £ £ 5 Î Ê ¢
13、; ¡º© Á ¡ Ñ ÂÁ ¡ ´ Ì ¡ à դ Ì ¤ Ó ¡ ÔÕ Þ Ñ§ º© Á ¡¦ Í © ¡ À ¾ ª ÓÁ « ¡ Ô ¡¾
14、87; ¡¤ Í § Ä » ± ¡ ¡ ¹ Ó¦ À 0.7% ¡ §·Õ ¤ « ´ ¤ Ì ¡ Ê ÒÁ ÇÍ ¡ º Û ¡ Ñ ÂÛ Ê Ð Ì ¡Å À
15、; Í Ä ¡ ¾Ä « ¾ Ñ º Ä ©¤ ¤ ¤ 2 ½ Í Ò¨» ¥ ÓÃ Æ Î À 317 References 1 Mejdell T, Skogestad S. Output estimation using multiple secondary measurements: High-purity distillation. Am
16、erican Institute of Chemical Engineers Journal, 1993, 39(10: 16411653 2 Park S, Han C. A nonlinear soft sensor based on multivariate smoothing procedure for quality estimation in distillation columns. Computers and Chemical Engineering, 2000, 24: 871877 3 Albertos P, Goodwin G C. Virtual sensors for
17、 control applications. Annual Reviews in Control, 2002, 26: 101112 4 Wang X H, Li S Y, Xi Y G. Research on soft sensor model for slab temperature in reheating furnace. Acta Automatic Sinica, 2004, 30(6: 928932 5 Yu J S, Liu A L, Zhang K J. Soft Sensor Technology and Its Application in Petrochemical
18、Industry. Beijing: Chemical Industry Press, 2000. 56102 6 Geladi P, Kowalski B. Partial least squares regression: A tutorial. Analytical Chemic Aeta, 1986, 185: 117 7 Liu R L, Su H Y, Zhu J. Application of soft sensing method based on PLS regression for estimating the stabilizing oil components of c
19、atalytic reform reactor. Control and Instruments in Chemical Industry, 2002, 29(5: 4447 8 Chen L D, Toru S. Data mining methods, applications, and tools. Information System Management, 2000, 17(1: 6570 9 Deng J L. Grey Theory Basis. the 2nd edition. Wuhan: Huazhong University of Science and Technolo
20、gy Press, 2002. 122154 10 Yang G B, Gao Y Y. Fuzzy Mathematics Theory and Application. Guangzhou: South China University of Technology Press, 2001. 115125 11 Li X Q. Research on the computation model of grey interconnect degree. Systems Engineering, 1995, 13(6: 5861 12 Tang W X. The concept and the
21、computation method of T s correlation degree. Mathematics Statistics and Management, 1995, 14(1: 3438 13 Wang Q Y, Zhao X H. The relational analysis of C-mode. Journal of Huazhong University of Science and Technology, 1999, 27(3: 7577 14 Li H Y. Study on the calculation method of grey relationship d
22、egree. System Engineering and Electronics, 2004, 26(9: 12311234 15 Ma B G, Cheng G Q. A formula of similarity correlation degree. Systems Engineering-Theory & Practice, 2000, 7: 6971 16 Xu X L. Improvement and Application of Grey-Relation, -Clustering, and -Prediction. Master Degree Dissertation
23、, Xiamen: Xiamen University, 2001. 6: 1722 17 Wang Q Y. The grey relational analysis of Bmode. Journal of Huazhong University of Science and Technology, 1989, 17(6: 7782 18 Wang Z H. Study on Measurement Optimization of the Internal Parameters in Ball Mill. Ph. D. Dissertation, Shenyang: Northeaster
24、n University, 2001. 7: 1925 19 Chen S, Cowan C F N, Grant P M. Orthogonal least squares learning algorithm for radiate basis function network. IEEE Transactions on Neural Network, 1991, 2(2: 302309 (LI Yong Ph. D. candidate in the Department of Control Theory and Control Engineering at Dalian University of Technology. His rese
溫馨提示
- 1. 本站所有資源如無特殊說明,都需要本地電腦安裝OFFICE2007和PDF閱讀器。圖紙軟件為CAD,CAXA,PROE,UG,SolidWorks等.壓縮文件請下載最新的WinRAR軟件解壓。
- 2. 本站的文檔不包含任何第三方提供的附件圖紙等,如果需要附件,請聯(lián)系上傳者。文件的所有權(quán)益歸上傳用戶所有。
- 3. 本站RAR壓縮包中若帶圖紙,網(wǎng)頁內(nèi)容里面會有圖紙預(yù)覽,若沒有圖紙預(yù)覽就沒有圖紙。
- 4. 未經(jīng)權(quán)益所有人同意不得將文件中的內(nèi)容挪作商業(yè)或盈利用途。
- 5. 人人文庫網(wǎng)僅提供信息存儲空間,僅對用戶上傳內(nèi)容的表現(xiàn)方式做保護處理,對用戶上傳分享的文檔內(nèi)容本身不做任何修改或編輯,并不能對任何下載內(nèi)容負責。
- 6. 下載文件中如有侵權(quán)或不適當內(nèi)容,請與我們聯(lián)系,我們立即糾正。
- 7. 本站不保證下載資源的準確性、安全性和完整性, 同時也不承擔用戶因使用這些下載資源對自己和他人造成任何形式的傷害或損失。
最新文檔
- T/CIMA 0047-2022綜合能源電力感知終端
- T/CIMA 0016-2020飲用水中銅綠假單胞菌檢測系統(tǒng)
- T/CIES 032-2023離網(wǎng)光伏路燈應(yīng)用設(shè)計規(guī)范
- T/CHTS 10130-2024高韌超薄瀝青磨耗層技術(shù)指南
- T/CHINABICYCLE 19-2023可持續(xù)時尚企業(yè)指南自行車與電動自行車
- T/CHES 65-2022生態(tài)護坡預(yù)制混凝土裝配式護岸技術(shù)規(guī)程
- T/CFDCC 0203-2018實木定制家居產(chǎn)品
- T/CECS 10340-2023超高性能減水劑
- T/CCMA 0086-2020塔式起重機起升鋼絲繩
- T/CCAS 028-2023水泥行業(yè)數(shù)字化智能礦山建設(shè)規(guī)范
- 中外航海文化知到課后答案智慧樹章節(jié)測試答案2025年春中國人民解放軍海軍大連艦艇學(xué)院
- 復(fù)調(diào)音樂巡禮-巴赫勃蘭登堡協(xié)奏曲 課件-2023-2024學(xué)年高中音樂人音版(2019)必修音樂鑒賞
- 2009年《四川省建設(shè)工程工程量清單計價定額》
- 監(jiān)理平行檢查記錄表格模板
- 實驗室生物安全手冊(完整版)資料
- 臨時圍擋施工方案(標準版)
- 中班語言《噓我們有個計劃》課件
- 水墨中國風(fēng)名著《水滸傳》簡介主題PPT模板課件
- Q∕GDW 11958-2020 國家電網(wǎng)有限公司應(yīng)急預(yù)案編制規(guī)范
- TCSCS 009-2020 鋼結(jié)構(gòu)滑移施工技術(shù)標準
- 小學(xué)英語GreedyRabbit教案
評論
0/150
提交評論