2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control.

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1 211 8 Il C Ell E Cpu S Au Cl Aly Cll I Al G Cl-Lp I Appl Pu DC S k u PD l R 1 F O 1 1 U Plé V Só ó A Nu Tlí S/N Pqu Cí y Tló TECNOTA K C V-S l A Uully l ppl y l py ly x l l H l- lp uu u pp ll ply l lp y ply p l pu p upp I u p p y ly x u l ll T pp ly p l-lp ly ppl DC u pu l S pp p u PD ll x Ky l lp p x DC I INTRODUCTION Ny R p l ll u l T ppl y x l u l xpl uy l A xp y ppl u y qu p p ll l pl l ul y pu l u l y p u B ll k y DC p l u u y T k u p ll y ll H y qu l y p ppl y u y u qu qu kl y p k y l p qu I p x y qu p y k p lp l lp u ul y ll uy u y B p l p l l pl y x u k y BIBO l u pu ppl ul pu u p T uy p ul p l lp Tu l lp y qu pply ll p y u uy R [3] [4] [] [6] pp l lp p-ll lp l u l ll T pp pp [6] u PD ll l lp -l l ll l l Rly- qu p [7] [8] T l lp u ly u ll T plu quy ll y l l l l Nly ll pu u l ll [3] [4] [] ll y [9] p pu ppl u u ll u l lp p qu ply L Squ qu ul u z O ly- ul u u ly ll u B k xplly u u T k p l lp ly ppl pu p-ll DC PD ll u l lp ly u kl u p Tl ul pu l lly z xpl l p u pu l u IEEE Cl Nu: CFP11827-ART ISBN: /11/$ IEEE 193

2 211 8 Il C Ell E Cpu S Au Cl p l ly ll ll ply B u uy qu ul ly ly u ll l lu u p p u pu l T pp z ll S II p l ul p py l k [2] [12] S III p l p u l S IV u pu l p xpl ll l l pu plly p p T pu lyz S V lly S VI p ly ul S VII lu k II PRELIINARY RESULTS T ly l p x S ly py u p u ply ul k ly [2] [12] B p ul l p k [11] l p L l -y y y: l p uu u D 1: U Cpl Oly UCO [11]) T y ll uly plly l UCO) x ly p u ll ll ly : L 2: UCO u upu j [11]) Au ll x u ll : T y [ ] UCO ly UCO ly y quly N UCO ly y qul l T 3: [11]) Au uu u pl p uu ll T ll qul: xplly l qulu p 2) T x u ly p u ll :!" # T 4: [11]) x u ly p u ll : $!" %!" xplly z T : [1] T qu l lz pp l u ly lll l ly I x l y x pu y upu C l l lu u & Eul Su u p l L u x p ' : ' ' I y l u u pu u pu u & D 6: Dpy [2]) T y p p upply ly x u u ll ll ll D 7: Py[2][12]) T y p upply y I pu ly p ISP) x p u upply xp IEEE Cl Nu: CFP11827-ART ISBN: /11/$ IEEE 194

3 211 8 Il C Ell E Cpu S Au Cl Flly upu ly p OSP) x p u upply xp D 8: Sly[2]) T y ll l x p u y l x u Pp 9: OSP pl OSP l ) I D 1: Z Oly [2][12]) A p y z l upu ll l I z l pl D 11: Ply x PE [11]) A ply x PE) x { } u L 12: PE u LTI l [11]) L I PE l l p & l l ly pp u p u PE T 13: Sll Sl I/O Sly[11]) C pu y upu y ) + L Lpz Lpz ll ) + L & I xplly l qulu p upu y : 1) T pu y ll-l & l x & & u & & pl & & & lu 2) T x u ll & & pl ) ll u = & & : ll x u ll l lu Al u pl pu l pu l qu pu ply l 3) u pl k u N 3) : " p / I ll ly pu l u T j ll ly pu l lly z ll l lp y lu p xplly l l pu l z p ly u y ly x l p l u l u ll u l lp IV CLOSED-LOOP IDENTIFICATION ALGORITH: NON PERTURBED CASE T pu u p l-lp l ll l p [6] I p u pu l lly z F 1 l lp pu ll: A PD ll u l lp l l l PD ll l l lp u u ll 4) III GENERAL ODEL DESCRIPTION I pp l lp l ppl pu DC x l p: 3) F 1 Blk l- l IEEE Cl Nu: CFP11827-ART ISBN: /11/$ IEEE 19

4 211 8 Il C Ell E Cpu S Au Cl l l l-lp y l lu upu ' ply l y p up l All pu lly uz T PD ll u l lp u upu y y: k l l p T upu y l lp l l-lp y: I ul p y u Ru Huz l l lz T l y: ' ' ' L PD ll ppl l: ' ' ' ' ' k l T l l lp ' l l-lp y: ' ' ' A ll ' u A p u k l lp y l u y l T x ly ll l lu p L upu l l : ' pl lu ply l y ll: p p ply : ' ' I lyz l l y ) py u [2] ll u T l ll u: l p I y ll p B p pl lu l j ) yl ) Oupu Sly P OSP) p u k p uy p u p y ll lk p up l: # p x T y u 1 y lu p p ) - Flly l k ) y: y u y p OSP u L upu y 6) T l upu xplly l l pu l p [1] Tu & ' ' & p ly l H p y p T l -p p ) y)=cx P u Ply Ex PE) [11] u y l l k ul lyz lu PE T k l 2 l [11] ul k 2 ll PE l [6]) N l 2 T u p lul pl T p u k l 2 ) I l [11] PE l l u ll PE [11] Tu 2 2 PE z l p l B ul ll pp ll Pp 14: L y u T T ul p yp ly ll l l l lu p z H k l u x u p p & IEEE Cl Nu: CFP11827-ART ISBN: /11/$ IEEE 196

5 211 8 Il C Ell E Cpu S Au Cl ly yp ly u l xpl ly x p A Expl C I y xpl p u k l u pu l Tu p u y 6) xplly l L p p 6) y ABC) l lll l lz L y: : T ly l p PE UCO : D 1 L 2) T ul l ll ll l p [13] T 1: L p p ) u ll qul l: L qulu p y T xplly l qulu p P: S [13] l p N p xpl ly p p 6) pu H pl ppl ll k ll u ll pp u ull y u k y x ly pu x S V CLOSED-LOOP IDENTIFICATION: PERTURBED CASE T l-lp pu ll S T l u uy y 4) L y 4) l lp l l lp ' upu T pl ll y: Sly 9) ll ppy y ll u p pu l l x u ll p pu T x ul l u lu pu y 4) l T 16: C pu y 9) upu y ) I qulu ) xplly l : 1) T pu y 9) ll l &-l x u : lu 9) ; 2) T x u pl ll u : ll x u ll l lu 9) ; Al ll ; P: S [13] l p VI ANALYSIS OF THE RESULTS F ly p pu y 9) pl u [13]): & < y: L# AB < =CD E < =CD F AGH < =>? E < =>? F L# T lu I6 47±K : I k ll pl z lu L# xz lu u u pl T l u: N " N " N O N " N 6 N" N4 : N" N O N" N 6 N4 p qulu p { } y: 14L O IEEE Cl Nu: CFP11827-ART ISBN: /11/$ IEEE 197

6 q F p R u F 1 qu F p R u F 1 u lu u y p u p ll 4 l l u u u y u pl u p l ll x F u u l x u 2 6 p x lu l F y x u 4 p u ll l y l ) 4L u l p l ) B δ L u A p p p B δ I A p p I y u y y ) l l l u y B l ll ll l l B l ) l l lu ) l u ) x u T u l ly u u ) B x lu u T u l l y lu u B u L u l u ) F ly u l j p z L1 u F lu T ll lu ) lu Fu lu x ll l p u l u l lu ll ply l l u ul y x 1 l u z F lu T ll lu lu Fu lu x ll l p u l u l lu ll ply l l u ul y x l u z F lu T ll lu l pl lu Fu lu x ll l p u l u l lu ll u ul y x 6 O l u z F lu T ll lu l pl lu Fu lu x ll l p u l u l lu ll u ul y x l u z F lu T ll lu l pl lu Fu lu x ll l p u l u l lu ll u ul y x T l u z F lu T ll lu l pl lu 2 lu x ll l p u l u l lu ll u ul y x T l u z T ll lu l pl lu 2 lu x ll l p u l u l lu ll u ul y ) x T l u z T ll lu l pl lu 2 lu x ll l p u l u l lu ll u ) x T l u z ll lu l pl lu ll l p u l u l lu ll u ) x T u z ll lu l pl lu ll l p u l u l lu ll u δ ) x T u z ly ll lu l pl ll l p u u l u l lu ll u lu x T u z ly ll lu l pl u u l u l lu ll u lu x T u z ly ll lu l pl u u l u l lu ll u lu x T lu u z lu ly ll lu l pl u u l u l lu ll u lu x µ T lu u z lu ly ll lu l pl u u l u l lu ll u lu lu µ T lu lu ly ll lu l pl u u l u l lu ll u lu lu T lu lu ly l pl u u l u l lu ll u lu lu T lu u lu ly l pl u u l u l lu ll u lu lu T lu u lu ly l pl u u l u l lu ll lu lu lu T lu u lu ly l pl z u p u l lu ll lu lu lu T pl ) F lu u lu ly l pl z u p u l lu ll T lu lu lu pl ) F lu u lu ly ) T z u p T lu lu lu pl ) F lu u lu ly ) T z u p T lu lu lu pl ) F lu u lu ly ) T z u p T lu lu lu pl ) F lu u lu ly ) T z u p T lu lu lu pl ) F lu u lu ly ) T z u p T lu lu lu pl ) F lu ) lu ly ) T z u p T lu lu lu pl ) F lu ) ly ) T z u p T lu lu pl ) F lu ) ly ) T z u p T lu lu pl ) F lu ) ly ) T z u p T ) p u ll xpl ly [1] Cl Eul 22 Cl E P [] [6] G R R p [8] A Bç [9] U Fll Pp A P Ru El Cl Cl Sp l 1997 [13] l 211 S C 211 p u ll xpl ly [1] Cl Eul 22 Cl E P [] [6] G R R p [8] A Bç [9] U Fll Pp A P Ru El Cl Cl Sp l 1997 [13] l 211 S C 211 p u ll xpl ly [1] Cl Eul 22 Cl E P [] [6] G R R p [8] A Bç [9] U Fll Pp A P Ru El Cl Cl Sp l 1997 [13] l 211 S C 211 p u ll xpl ly C Y Cl Eul 22 Cl E P [6] G R R p [8] A Bç [9] U Fll Pp A P Ru El Cl Cl Sp l 1997 [13] R l 211 S C 211 p u ll xpl ly C Y Cl Eul Cl E P [6] G R R [8] A Bç [9] U Fll Pp A P Ru El Cl Cl Sp l 1997 R l 211 S C 211 p u ll xpl ly C Y Cl Eul Cl E P [6] G R R [8] A Bç [9] U Fll Pp A P Ru El Cl Cl Sp l 1997 l 211 S C 211 p u ll xpl ly C Y Cl Eul Cl E P [6] G R R [8] A Bç [9] U Fll Pp A P Ru El Cl Cl Sp l 1997 l 211 S C 211 p u ll xpl ly C Y Cl Eul Cl E P [6] G R R [8] A Bç [9] U Fll Pp A P Ru El Cl Cl Sp l 1997 l 211 S C 211 p u ll xpl ly C Y Cl Eul Cl E P [6] G R R [8] A Bç [9] U Fll L Lju "Cl lp Pp A P Ru El Cl Cl Sp l 1997 l 211 S C 211 p u ll xpl ly C Y Cl Eul Cl E P [6] G R R [8] A Bç L Lju "Cl lp Pp A P Ru El Cl Cl Sp l 1997 l 211 S C 211 p u ll xpl ly C Y Cl Eul- Cl E P [6] G R R [8] A Bç L Lju "Cl lp Pp A P Ru El Cl Cl Sp l 1997 ll 211 Il C R Au ICRA 211 S C 211 p u ll xpl ly C Y Y Hu P Y Y J Y " - Cl E P [6] G R R [8] A Bç-V G Bç "A L Lju "Cl lp Pp A P Ru El Cl Cl Sp l S C 211 p u ll xpl ly Y Hu P Y Y J Y " Cl E P [6] G R R " V G Bç "A L Lju "Cl lp Pp A P Ru El Cl Cl Sp l S C 211 p u ll xpl ly Y Hu P Y Y J Y " Cl E P Vl 4 N 4 pp37 " V G Bç "A L Lju "Cl lp Pp A P Ru El Cl Cl Sp l S C 211 p ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 " V G Bç "A L Lju "Cl lp - Pp A P Ru El Cl Cl Sp l S C 211 ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 " V G Bç "A L Lju "Cl lp Pp A P N Yk 197 Ru El Cl Cl Sp l S C 211 ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 " V G Bç "A L Lju "Cl lp N Yk 197 Ru El Cl Cl Sp l S C 211 VII ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 " V G Bç "A L Lju "Cl lp N Yk 197 Ru El Cl Cl Sp l S C 211 VII ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 " V G Bç "A L Lju "Cl lp N Yk 197 Ru El Cl NJ: P Hll 1989 Cl Sp l 1997 VII ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 " V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 Cl Sp l 1997 VII ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 ll xpl ly Y Hu P Y Y J Y " Vl 4 N 4 pp37 V G Bç "A - L Lju "Cl lp N Yk 197 NJ: P Hll 1989 Y Hu P Y Y J Y " Vl 4 N 4 pp37 V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 Y Hu P Y Y J Y " Vl 4 N 4 pp37 V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 Y Hu P Y Y J Y " Vl 4 N 4 pp37 V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 ll Y Hu P Y Y J Y " Vl 4 N 4 pp37 V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 ll Y Hu P Y Y J Y " Vl 4 N 4 pp pp 78 V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 ll Y Hu P Y Y J Y " pp 78 - V G Bç "A L Lju "Cl lp N Yk 197 NJ: P Hll 1989 u u ll Y Hu P Y Y J Y " pp V G Bç "Aly L Lju "Cl lp " Au NJ: P Hll 1989 u u ll Y Hu P Y Y J Y " pp ly " Au NJ: P Hll 1989 u u ll Y Hu P Y Y J Y " pp ly " Au NJ: P Hll 1989 u u ll Y Hu P Y Y J Y " pp ly " Au NJ: P Hll 1989 u u ll Y Hu P Y Y J Y " pp ly " Au NJ: P Hll l l lp u u ll Y Hu P Y Y J Y " ly " Au NJ: P Hll 1989 l l lp u u ll Y Hu P Y Y J Y "Fquy ly " Au l l lp u u ll Fquy u l ly " Au l l lp u u ll Fquy u l ly " Au l l lp u u ll Fquy u l ly u ppl Cul " Au l l lp u u ll Fquy u l ly y " Au l l lp u u ll Fquy u l ly y " Au l l lp u u ll Fquy u l ly y " Au l l lp u u l ll Fquy u l ly y " Au l l lp u u l ll Fquy T - u l ly y " Au -Oupu l l lp u u l ll Fquy T u l - ly y " Au Oupu l l lp u u l ll Fquy T u l -234 ly y " Au Oupu l l lp u u l ll Fquy T u l 234 ly y " " Au Oupu l l lp u u l ll Fquy T u l 234 ly y " " Au Oupu l l lp u u l ll Fquy T u l 234 ly y " " Au Oupu Il C Ell E Cpu S Au Cl IEEE Cl Nu: CFP11827-ART ISBN: /11/$ IEEE 198

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