Robust Control Theory and Applications Part 1 potx

... uncertainty has a relative character. 5.3 Robust stability Let the linear system be given by the transfer function 1 110 1 110 11 11 () () (1) () (1) sLssLLmmTmmnnnnmmTTmnnnbs ... engineering and non-engineering applications of the theory. These are described in section 5 and include internet based switching control, and applications of robust Robust Control, Theory and Applications Edited ... Topology and Different Kinds of Node Dynamics 423Sabato ManfrediChapter 8Chapter 9 Part 4Chapter 10 Chapter 11 Chapter 12 Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18 free...

Robust Control Theory and Applications Part 2 potx

... Automatic Control, 2 17 ,ISSN: 0 018 -9286. Prieur, C. (20 01) . Uniting local and global controllers with robustness to vanishing noise, Mathematics Control, Signals, and Systems, 14 3 17 2, DOI: 10 .10 07/PL00009880 ... 1 030 11 4A−−⎡⎤⎢⎥=−⎢⎥⎢⎥−−−⎣⎦ the error matrix with k 1 and k2 as the uncertain parameters is given by 11 22EkE kE=+ where 1 1 01 000 10 1E⎡⎤⎢⎥=⎢⎥⎢⎥⎣⎦ and 2000 010 010 E⎡⎤⎢⎥=⎢⎥⎢⎥⎣⎦ ... Drives, Automation and Motion, Italy, 11 09 - 11 13 ISBN: 978 -1- 4244 -16 63-9. Halbaoui, K.; Boukhetala, D. and Boudjema, F.(2009a). Speed Control of Induction Motor Drives Using a New Robust Hybrid...

Robust Control Theory and Applications Part 6 potx

... S1] ,1, 1); lmiterm([-3 1 1 T1] ,1, 1); lmiterm([4 1 1 P],(A0til+A1hat)' ,1, 's'); lmiterm([4 1 1 S1],h1 ,1) ; lmiterm([4 1 1 R1],h1 ,1) ; lmiterm([4 1 1 T1] ,1, 1); lmiterm([4 1 2 P], -1, A1hat*A0hat); ... method and PID method for the angle,θ. Robust Control, Theory and Applications 19 2 lmiterm([ -1 1 1 P] ,1, 1); lmiterm([ -1 2 2 R1] ,1, 1); lmiterm([-2 1 1 S1] ,1, 1); lmiterm([-3 1 1 T1] ,1, 1); ... 1 1 P],(A0til+A1hat)' ,1, 's'); lmiterm([4 1 1 S1],h1 ,1) ; lmiterm([4 1 1 R1],h1 ,1) ; lmiterm([4 1 1 T1] ,1, 1); lmiterm([4 1 2 P], -1, A1hat*A0hat); lmiterm([4 1 3 P], -1, A1hat*A1hat);...

Robust Control Theory and Applications Part 8 potx

... 1. 01. 25 01. 6672.505.0 01. 70.55560.62500. 714 30.833 31. 01. 32.50 1. 667 1. 2500.90.833 31. 01. 25 01. 66 71. 60. 714 30.833 31. 01. 25 01. 50.62500. 714 30.833 31. 01. 4 1. 1 01. 0 51. 000.95 1. 01. 25 01. 6672.505.0 01. 70.55560.62500. 714 30.833 31. 01. 32.50 1. 667 1. 2500.90.833 31. 01. 25 01. 66 71. 60. 714 30.833 31. 01. 25 01. 50.62500. 714 30.833 31. 01. 4 1. 1 01. 0 51. 000.95 ... ( 12 iiKK=) for the second tuning method. 1. 01. 25 01. 6672.505.0 01. 70.55560.62500. 714 30.833 31. 01. 32.50 1. 667 1. 2500.90.833 31. 01. 25 01. 66 71. 60. 714 30.833 31. 01. 25 01. 50.62500. 714 30.833 31. 01. 4 1. 1 01. 0 51. 000.95 1. 01. 25 01. 6672.505.0 01. 70.55560.62500. 714 30.833 31. 01. 32.50 1. 667 1. 2500.90.833 31. 01. 25 01. 66 71. 60. 714 30.833 31. 01. 25 01. 50.62500. 714 30.833 31. 01. 4 1. 1 01. 0 51. 000.95 ... feedbacku(x)=−λ(x)G(x,0)TG(x,0)=∂W(x)∂x 1 g(x,0)λ(x)=2u (1+ γ 1 (|x|2+4u2|G(x,0)|2)) (1+ |G(x,0)|2)> 0γ 1 =2s0γ 1 (s) 1+ γ 1 (1) dsγ 1 (s)= 1 s2ss(˜γ 1 (t) 1) dt + s˜γ 1 (s)=max{(x,u)|| x|2+|u|2≤s}{1...

Robust Control Theory and Applications Part 10 potx

... Robust Control, Theory and Applications 362 ()()2436 1 2650.4 515 0.20332.9846 1 1. 718 7 1 0 .18 86 3.8087 1. 520 1 17.7347 10 .8348 1 1.7455 6 .13 559 .10 85 1 10.9088 1 sssssseessseeGssseessΘ−−−−−−⎡⎤⎢⎥++⎢⎥⎢⎥−=⎢⎥+++⎢⎥⎢⎥−⎢⎥++⎢⎥⎣⎦, ... Tijijij 21 VVA =, Tikijik 21 UUB = (ri , ,1 …=, pj , ,1 …=, qk , ,1 …=) (29) In which, 1ijV, 2ijV, 1ikU , and 2ikU are all column vectors. Denoting 11 1 21 1 212 22 2 11 1 21 1 212 22 ... parameters of the controller are 3m = , 1T = , ()0.5* 11 1yQdiag=, () 11 uQdiag= , () 11 Rdiag= , ()3 10 * 11 1ySdiag= and ()5 10 * 1 1uSdiag=. The input and output constraints,...

Robust Control Theory and Applications Part 14 potx

... estimated 518 Robust Control, Theory and Applications Fig. 3. Closed loop system of current control Parameters ValueRated Power 1. 5 kWRated Speed 10 000 min 1 R 0.0 61 ΩLd 1. 44 mHLq2.54mHKE 18 2 10 −4V/min 1 P ... 2mH; and ﬁnally, in red, for LS= 5mH. In all cases the controller hasan adequate convergence of its parameters.532 Robust Control, Theory and Applications -15 000 -10 000-5000 0 5000 10 000 ... the signals ω 1 , ω2∈n− 1 ω 1 =α( s)Λ(s)u and ω2=α( s)Λ(s)y. (16 )⇒ Assumptions for the signals ω 1 and ω2:R1.The polynomial Λ in (16 ) is a monic Hurwitz of degree n 1, containing...

Robust Control Theory and Applications Part 3 pot

... (s) 0 .1 1 0.2 317 0.055 0 .12 28 55 .1 143 0.248 1 0.2 319 0.05 51 0 .12 3 55.0 14 1 0.997 1 0.2373 0.0566 0 .12 6 53.8 13 8 1. 27 1 0.2 411 0.0577 0 .12 8 52.6 13 5 1. 7 1 0.2495 0.06 01 0 .13 27 52.2 13 0 Table ... simultaneously. Note that (23) can be decoupled as 11 12 11 21 22 23 2232 33 332 21 11 22233 11 11 11 222 11 1 33 33 13 3 12 22 11 000000000 0 000 () 000 0 000 00 00000000 00000iTiTTTTiiiiiTddTSS ... 0.66 11 . 019 0 .10 64 0. 312 7 39.8 12 2 0.997 0.77 0.9469 0.2407 0. 311 3 13 .5 39.7 0.997 1 0.7744 0. 313 6 0.2944 4.44 18 .8 0.997 1. 24 0.4855 0 .13 69 0 .18 86 21. 6 56.8 0.997 1. 5 0.2923 0.0350 0 .11 51 94.4...

Robust Control Theory and Applications Part 4 pptx

... 21 1 11 2 21 1 212 {() ()()()()}{() () () () ()}TTTTxt R x t X xt x tX xtxt R x t X xt x tX xtΩΩ−−−−=∈ ≤=∈ > i.e. 2 1 22-2.3 815 -1. 0734{() () () 0} -1. 0734 9.6 717 -2.3 815 -1. 0734{() ... as follows For subsystem 1 11 0.04 1m≤≤ , 12 0 .1 1.2m≤≤ For subsystem 2 21 0 .1 1m≤≤, 220.04 1m≤≤ Then we have 10 0.52 000.65M⎡⎤=⎢⎥⎣⎦, 1 0.92 000.85J⎡⎤=⎢⎥⎣⎦ ... shown in Fig. 1. 0 0.2 0.4 0.6 0.8 1 1.2 1. 4 1. 6 1. 8 2 -1 -0.500.5 1 1.52t/sstate of x1,x2x1x2 Fig. 1. State responses of the closed-loop system with the normal switched controller when...

Robust Control Theory and Applications Part 5 doc

... Robust Control, Theory and Applications 18 0 22 11 1 0 1 1 0 1 1 1 1 1 N 1 1-0000 1 0000 00000h 1 00 00h00 0 0 0 1 00 0 0h00 0 0 000 0 0 000 1 00 0000h00 0 00 ... P = 1. 0e+008 * 1. 1943 -1. 16 51 0 .15 62 -1. 16 51 4 .17 45 0.3597 0 .15 62 0.3597 0 .12 48⎡⎤⎢⎥⎢⎥⎢⎥⎣⎦; R1 = 1. 0e+008 * 1. 9320 0.2397 0.8740 0.2397 1. 0386 0.28 31 0.8740 0.28 31 0.43 41 ⎡⎤⎢⎥⎢⎥⎢⎥⎣⎦ ... thxt A A A xt A x d A x dθθθθ−−=+++ − −−∫∫ (14 ) Substituting again (11 ) into (14 ) yields: 1 11 1 01 1 0 1 1 011 2 01 10 1 1 1 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( ) ( )...

Robust Control Theory and Applications Part 7 pot

... 10 -3 10 -2 10 -1 100 10 1 102-60-40-20020Magnitude [dB] 10 -3 10 -2 10 -1 100 10 1 102-300-200 -10 00omega [rad/s]Phasa [deg] 10 -3 10 -2 10 -1 100 10 1 10 2-60-40-20020Magnitude ... -2 10 -1 100 10 1 102-50 0 50 10 0 ω [rad/sec]Magnitude [dB] 10 -3 10 -2 10 -1 100 10 1 102-300 -200 -10 0 0 ω [rad/sec]phase [deg] 10 -3 10 -2 10 -1 100 10 1 10 ... K 1 = 0.0002 = 2.0 10 −4.KpCiCdβ0gM[dB] pM[deg] Mp(i) 10 0 0 0¯β 7.72 34.9 1. 82(ii) 10 0 3 0 0.98 5.92 23.8 2. 61 (iii) 10 0 3 12 0¯β 11 .1 35.4 1. 69(iv) 50 0 0¯β 10 .8 48.6 1. 29(v)...

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