Model Predictive Control Part 1 potx

... from predictive model (44). Substituting control algorithm (36) to (33) we obtain x (t + 1 ) = D 1 (j)x(t) (38) where D 1 (j) = A j + B j K 1 (j) K 1 (j) = (I − F 12 CB j ) 1 (F 11 C + F 12 CA j ), ... A N 2 1 o B o A N 2 −N u o B o     (8) Model Predictive Control1 0 Fig. 1. Dynamic behavior of controlled system for unconstrained case for u(t) . B o =  ...

Ngày tải lên: 21/06/2014, 03:20

... start by eliminating 14 Advanced Model Predictive Control Contents Preface IX Part 1 New Theory of Model Predictive Control 1 Chapter 1 Fast Model Predictive Control and its Application ... 10 A General Lattice Representation for Explicit Model Predictive Control 19 7 Chengtao Wen and Xiaoyan Ma Part 2 Successful Applications of Model...

Ngày tải lên: 19/06/2014, 19:20

... two agents Agent 1 : y 1 (s)= 1 10s + 1 u 1 (s) − 1 7.5s + 1 u 2 (s), (27a) Agent 2 : y 2 (s)= 1. 5 11 s + 1 u 1 (s)+ 1. 5 8s + 1 u 2 (s). (27b) Agent 1 solves the optimization problem using u 1 as decision ... previous Sections, let’s consider the following MIMO linear system  y 1 (s) y 2 (s)  =  1 10s +1 1 7.5s +1 1.5 11 s +1 1.5 8s +1   u 1 (s) u...

Ngày tải lên: 19/06/2014, 19:20

... Temp deg F 17 5.0 250.0 5.86 -0.45 13 .02 1 175 (min) TAD2 DE DP inch H2O 1. 0 3.5 40.26 -3 .14 12 .82 2 1 (min) TAD2 Gap Prs inch H2O 0.2 1. 5 -16 .40 4.25 3.86 5 0.2 (max) Model Predictive Control ... from solving a set of nonlinear equations: () () () () 11 dw dw 1 2 3 1 2 3 22 dw dw 1 2 3 1 2 3 11 moi moi 1 2 3 1 2 3 22 moi moi 1 2 3 1 2 3 y f u ,u ,...

Ngày tải lên: 19/06/2014, 19:20

... control yields close to an additional $1. 1 million per year in profit. MPC vs PID Control - Aug 10 (Cell 3) 0 5 10 15 20 25 30 35 40 6 :14 6: 21 6:28 6:34 6: 41 6:48 6:54 7: 01 7:08 7 :14 7: 21 7:28 7:34 7: 41 7:48 7:54 8: 01 8:08 8 :14 8: 21 8:28 8:34 8: 41 8:48 8:54 3:26 3:40 3:53 4:06 4:20 4:33 4:46 5:00 5 :13 5:26 5:40 5:53 6:06 6:20 6:33 6:46 7:00 7 :13 7:26 7:...

Ngày tải lên: 19/06/2014, 19:20

... (10 ) where Y(t) = [y p (t +1) . . . y p (t+N)] T (11 ) X(t) = [y(t) y(t -1) . . . y(t-ny +1) u(t -1) . . . u(t-nu +1) ] T (12 ) U(t) = [u(t) . . . u(t+m -1) ] T (13 ) 11 12 1( 1) 11 12 ... K LQ =  −0. 019 0 −0 .18 18  . The value of the Model Predictive Control1 06 Defining L J (t)  L l L N c (t) 1 f − 1 L f − 1 + L lx L N c (t) 1 f L N p −N c (t) +1 x...

Ngày tải lên: 21/06/2014, 03:20

... (10 ) where Y(t) = [y p (t +1) . . . y p (t+N)] T (11 ) X(t) = [y(t) y(t -1) . . . y(t-ny +1) u(t -1) . . . u(t-nu +1) ] T (12 ) U(t) = [u(t) . . . u(t+m -1) ] T (13 ) 11 12 1( 1) 11 12 ...  (t +1) =  (t) + K(t) [y(t +1) - y m (t +1) ] K(t) = P(t) x m (t +1) / [1 + x m (t +1) T P(t) x m (t +1) ] (5) P(t +1) = 1/  [P(t) - {( P(t) x m (t +1) x m (t +1)...

Ngày tải lên: 21/06/2014, 03:20

... 11 1 -11 6(,2006) Fast Model Predictive Control and its Application to Energy Management of Hybrid Electric Vehicles 17 ω T B t d τ 12 00 50 10 0 14 4 12 00 10 0 14 0 14 2 16 00 50 84 14 0 16 00 10 0 96 13 7 2000 ... 11 112 01 212 1 () ()() ()() (,)() () k Aq yk y B q uk B q q u k q ε −−−− − =+ + + Δ (7) Where are two polynomials of the backward shifting operato...

Ngày tải lên: 19/06/2014, 19:20

... Advanced Model Predictive Control 10 0 40 60 80 10 0 12 0 14 0 16 0 18 0 10 % 20% 30% 40% x 40 60 80 10 0 12 0 14 0 16 0 18 0 40% 60% 80% 10 0% u time(sec) Fig. 8. Simulation ... e −50.4s 48.4s +1 0 0 79 .1 31. 4s+0.8 31. 4s +1. 0 20 .1 e −4.1s 25.6s +1. 0 0 16 .9 e −24.7s 39.5s +1 −39.2 22.8s+0.8 22.8s +1. 0 0000 24.4 48.2s 2 +4.0s+0.05 48.2s 2 +3.9s+...

Ngày tải lên: 19/06/2014, 19:20

... Multi-dimensional Model Predictive Control for Critical Process with Stochastic Behavior 12 3 Vojtech Veselý and Danica Rosinová. (2 010 ). Robust Model Predictive Control Design, In: Model Predictive Control, ... p. 211 - 214 , Herľany, Slovakia, January 28-30, 2 010 , ISBN 978 -1- 4244-6423-4 Rossiter J. A. (2003). Model- Based Predictive Control: A Practical Appr...

Ngày tải lên: 19/06/2014, 19:20