Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P5 pdf

... Ž.Ž.Ž.ÝÝijis1 i-jFuzzy Control Systems Design and Analysis: A Linear Matrix Inequality ApproachKazuo Tanaka, Hua O. WangCopyright ᮊ 2001 John Wiley & Sons, Inc.Ž. Ž .ISBNs: 0-4 7 1-3 232 4-1 Hardback ... ai2yEM 00 0 y␥Ibi i biXQ X 0000q s y 1 и block-diagŽ.Ž.0ˆs S q s y 1 Y , 5.15Ž. Ž.ii 1block-diag и T y 2QÄ4Ä4XIIIIIIIIij 2= block-diagÄ4XIIIIIIIITXA q AXiiTTyBMy MBij jiTTTTTTDDDD ... 0y␥I 0aj aj2yEF 0000 0 0 0y␥Ibj i bjQ 0000Q s block-diag ,Ž.01Q 00000000Q s block-diag .Ž.02Ž.Proof. Consider the T-S fuzzy control system with uncertainty 5.1 , whereŽ. Ž.⌬...

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P1 pdf

... notions whichare listed as follow:i - j s.t. h l h /␾,iji F j s.t. h l h /␾.ijŽ.For instance, the condition 2.31 in Chapter 2 has the notation,i - j F r s.t. h l h /␾.ijThis means ... havebeen kept in an elementary context. This part is suitable as a starting point ina graduate-level course. Chapters 4᎐15 cover advanced analysis and designtopics which may require a higher ... knowledge of control engineering. This part provides a wide rangeof advanced topics for a graduate-level course and more importantly sometimely and powerful analysis and design techniques for researchers...

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P14 pdf

... WangCopyright ᮊ 2001 John Wiley & Sons, Inc.Ž. Ž .ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 ElectronicCHAPTER 14T-S FUZZY MODEL ASUNIVERSAL APPROXIMATORIn this chapter, we present ... number of IF-THEN rules; M are fuzzy sets; and xt s Axt˙ij iare the consequences of the ith IF-THEN rule.By using the center-of-gravity method for defuzzification, we can representthe T-S model ... the Homoge-neous Takagi-Sugeno Model,’’ Proc. FUZZ-IEEE’96, 1996, pp. 1067᎐1072.7. H. Ying, ‘‘Sufficient Conditions on Uniform Approximation of MultivariateFunctions by General Takagi-Sugeno...

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P2 pptx

... easily extend the LMI-based control design approach to multiple-Ž.rule r ) 1 cases of the Takagi-Sugeno fuzzy models. For instance, thequadratic stabilizability of the Takagi-Sugeno fuzzy models ... for continuous-time systems as well. Instead of using theLyapunov inequality for discrete-time systems, we should use the Lyapunovinequality for continuous-time systems,ATP q PA - 0.In the ... 12TAKAGI-SUGENO FUZZY MODEL AND PARALLEL DISTRIBUTED COMPENSATION46Fig. 2.21 Closed-loop angle response with m changed.Fig. 2.22 Closed-loop angle response with M changed.ORIGIN OF THE LMI-BASED...

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P3 docx

... Tanaka, Hua O. WangCopyright ᮊ 2001 John Wiley & Sons, Inc.Ž. Ž .ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 ElectronicCHAPTER 3LMI CONTROL PERFORMANCECONDITIONS AND DESIGNSThe preceding ... y 1is1 is1 i-jr12s h z t y h z t G 0. Q.E.D.Ž. Ž.Ž. Ž.Ä4ÝÝijr y 1is1 i-jCOROLLARY 4 If the number of rules that fire for all t is less than or equal tos, where 1 - s F r, thenrr12h ... Qsuch thatGTP q PG q s y 1 Q - 0 3.11Ž. Ž.ii iiTG q GGq Gij ji ij jiP q P y Q F 0,ž/ž/22i - j s.t. h l h /␾3.12Ž.ijwhere s ) 1.DECAY RATE65where␣ - 1. Therefore, we define the...

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P4 ppt

... Tanaka, Hua O. WangCopyright ᮊ 2001 John Wiley & Sons, Inc.Ž. Ž .ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 ElectronicCHAPTER 4FUZZY OBSERVER DESIGNIn practical applications, the state ... output feedback designmethods such as observer-based designs. This chapter presents fuzzy ob-server design methodologies involving state estimation for T-S fuzzy models.Alternatively, output feedback ... 2␣P - 0,Ž.1 i 1 ii i1 i 1i 1ATP y CTNTq PAy NCq s y 1 Q q 2␣P - 0,Ž.i 2 i 2 i 2 i 2 ii 22 2PATy MTBTq APy BM y 2 Y q 4␣P1 i 1 ji i1 i 1 j 1qPATy MTBTq APy BM - 0,1...

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P6 pptx

... Tanaka, Hua O. WangCopyright ᮊ 2001 John Wiley & Sons, Inc.Ž. Ž .ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 ElectronicCHAPTER 6OPTIMAL FUZZY CONTROLIn control design, it is often of ... function satisfies J - x 0 Px0 - ␭:minimize␭X, M , , M , Y1r 0subject toX ) 0, Y G 0,0T␭x 0Ž.k) 0, k s 1,2, ,l,x 0 XŽ.kˆU q s y 1 Y - 0,Ž.ii 3ˆV y 2Y - 0, i - j s.t. h l h ... 00yW 0jy1yM 000yRiY 00Y s block-diag ,Ž.03Y 0000Y s block-diag .Ž.04TŽ. Ž.Proof. The main idea here is to transform the inequality J - x 0 Px 0 - ␭and the conditions of Theorem...

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P7 doc

... Wiley & Sons, Inc.Ž. Ž .ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 ElectronicCHAPTER 7ROBUST-OPTIMAL FUZZY CONTROLwxThis chapter discusses the robust-optimal fuzzy control problem 1᎐3,whichcombines ... y␧1 y␧ROBUST-OPTIMAL FUZZY CONTROL124T␭x 0Ž.) 0,x 0 XŽ.ˆS - 0, i s 1,2, ,r ,iiˆT - 0, i - j F r s.t. h l h /␾,ij i jˆU - 0, i s 1,2, ,r ,iiˆV - 0, i - j F r s.t. h l ... 1,2, ,l,x 0 XŽ.kˆS q s y 1 Y - 0, i s 1,2, ,rŽ.ii 1ˆT y 2Y - 0, i - j F r s.t. h l h /␾ij 2 ijˆU q s y 1 Y - 0, i s 1,2, ,rŽ.ii 3ˆV y 2Y - 0. i - j F r s.t. h l h /␾ij 4 ijProof....

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P8 ppt

... Sons, Inc.Ž. Ž .ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 ElectronicCHAPTER 8TRAJECTORY CONTROL OF AVEHICLE WITH MULTIPLE TRAILERSThis chapter contains an in-depth application study ... exponentially increas-ing number of jack-knife configurations as the number of trailers increases.In the one-trailer case, only two jack-knife configurations exist. For thetriple-trailer case, the ... TRAILERS136trailer-truck system. Because of the simplicity, its main usage is for controldesign. This is the same idea as the so-called control-oriented modeling inwhich some reduced-order type of...

Tài liệu Hệ thống điều khiển mờ - Thiết kế và phân tích P9 doc

... Tanaka, Hua O. WangCopyright ᮊ 2001 John Wiley & Sons, Inc.Ž. Ž .ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 ElectronicCHAPTER 9FUZZY MODELING AND CONTROLOF CHAOTIC SYSTEMSChaotic ... mentioned in Remark 5, the Takagi-Sugeno fuzzy model is a universalapproximator for nonlinear dynamical systems. Other chaotic systems can beapproximated by the Takagi-Sugeno fuzzy models.The fuzzy ... by solving the LMI-based design problems using theiapproximate CT algorithm described in Section 9.2.Example 20 The decay rate fuzzy controller design to realize the synchro-nization for Lorenz’s...

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