Assessment and Future Directions of Nonlinear Model Predictive ...

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90 P. Mhaskar, N.H. El-Farra, and P.D. Christofides[4] H. Chen and F. Allgöwer. A quasi-infinite horizon nonlinear model predictivecontrol scheme with guaranteed stability. Automatica, 34:1205–1217, 1998.[5] P. D. Christofides and N. H. El-Farra. Control of Nonlinear and Hybrid ProcessSystems: Designs for Uncertainty, Constraints and Time-Delays. Springer-Verlag,Berlin, Germany, 2005.[6] N. H. El-Farra and P. D. Christofides. Integrating robustness, optimality andconstraints in control of nonlinear processes. Chem. Eng. Sci., 56:1841–1868,2001.[7] N. H. El-Farra and P. D. Christofides. Bounded robust control of constrainedmultivariable nonlinear processes. Chem. Eng. Sci., 58:3025–3047, 2003.[8] N. H. El-Farra and P. D. Christofides. Coordinating feedback and switching forcontrol of hybrid nonlinear processes. AIChE J., 49:2079–2098, 2003.[9] N. H. El-Farra, P. Mhaskar, and P. D. Christofides. Hybrid predictive control ofnonlinear systems: Method and applications to chemical processes. Int. J. Rob. &Nonlin. Contr., 4:199–225, 2004.[10] N. H. El-Farra, P. Mhaskar, and P. D. Christofides. Uniting bounded controland MPC for stabilization of constrained linear systems. Automatica, 40:101–110,2004.[11] R. A. Freeman and P. V. Kokotovic. Robust Nonlinear Control Design: State-Spaceand Lyapunov Techniques. Birkhauser, Boston, 1996.[12] A. Gani, P. Mhaskar and P. D. Christofides. Fault-Tolerant Control of a PolyethyleneReactor, J. Proc. Contr., 17: 439–451, 2007.[13] J. W. Grizzle and P. V. Kokotovic. Feedback linearization of sampled-data systems.IEEE. Trans. Automat. Contr., 33:857–859, 1988.[14] N. Kazantzis. A functional equations approach to nonlinear discrete-time feedbackstabilization through pole-placement. Syst. & Contr. Lett., 43:361–369, 2001.[15] P. Kokotovic and M. Arcak. Constructive nonlinear control: a historical perspective.Automatica, 37:637–662, 2001.[16] S. L. D. Kothare and M. Morari. Contractive model predictive control for constrainednonlinear systems. IEEE Trans. Automat. Contr., 45:1053–1071, 2000.[17] D. Limon, J. M. Bravo, T. Alamo, and E. F. Camacho. Robust MPC of constrainednonlinear systems based on interval arithmetic. IEE Proc.-Contr. Th. & App.,152:325–332, 2005.[18] Y. Lin and E. D. Sontag. A universal formula for stabilization with boundedcontrols. Syst. & Contr. Lett., 16:393–397, 1991.[19] L. Magni, G. Nicolao, R. Scattolini, and F. Allgower. Robust model predictivecontrol for nonlinear discrete-time systems. Int. J. Rob. & Non. Contr., 13:229–246, 2003.[20] D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert. Constrainedmodel predictive control: Stability and optimality. Automatica, 36:789–814, 2000.[21] P. Mhaskar. Hybrid Predictive and Fault-Tolerant Control of Chemical Processes.Ph.D. thesis, University of California, Los Angeles, 2005.[22] P. Mhaskar, N. H. El-Farra, and P. D. Christofides. Hybrid predictive control ofprocess systems. AIChE J., 50:1242–1259, 2004.[23] P. Mhaskar, N. H. El-Farra, and P. D. Christofides. Predictive control of switchednonlinear systems with scheduled mode transitions. IEEE Trans. Automat. Contr.,50:1670–1680, 2005.[24] P. Mhaskar, N. H. El-Farra, and P. D. Christofides. Robust hybrid predictivecontrol of nonlinear systems. Automatica, 41:209–217, 2005.
Techniques for Uniting Lyapunov-Based and Model Predictive Control 91[25] P. Mhaskar, N. H. El-Farra, and P. D. Christofides. Stabilization of nonlinear systemswith state and control constraints using Lyapunov-based predictive control.Syst. & Contr. Lett., 55: 650–659, 2006.[26] P. Mhaskar, A. Gani, and P. D. Christofides. Fault-tolerant control of nonlinearprocesses: Performance-based reconfiguration and robustness. Int. J. Rob. &Nonlin. Contr., 16:91–111, 2006.[27] H. Michalska and D. Q. Mayne. Robust receding horizon control of constrainednonlinear systems. IEEE Trans. Automat. Contr., 38:1623–1633, 1993.[28] D. Nesic, A. R. Teel, and P. V. Kokotovic. Sufficient conditions for stabilization ofsampled-data nonlinear systems via discrete-time approximations. Syst. & Contr.Lett., 38:259–270, 1999.[29] R. Sepulchre, M. Jankovic, and P. Kokotovic. Constructive Nonlinear Control.Springer-Verlag, Berlin-Heidelberg, 1997.[30] M. Sznaier, R. Suarez, and J. Cloutier. Suboptimal control of constrained nonlinearsystems via receding horizon constrained control Lyapunov functions. Int. J.Rob. & Nonlin. Contr., 13:247–259, 2003.[31] L. Zaccarian, A. R. Teel, and D. Nesic. On finite gain L P stability of nonlinearsampled-data systems. Syst. & Contr. Lett., 49:201–212, 2003.
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Lecture Notesin Control and Informa
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Series Advisory BoardF. Allgöwer,
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ContentsFoundations and History of
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ContentsIXRobustness, Robust Design
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ContentsXIHybrid NMPC Control of a
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Nonlinear Model Predictive Control:
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Hybrid MPC: Open-Minded but Not Eas
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Hybrid MPC: Open-Minded but Not Eas
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22 S.E. Tuna et al.this says that i
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24 S.E. Tuna et al.In particular, f
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26 S.E. Tuna et al.W N (f(x, ¯κ N
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28 S.E. Tuna et al.where ᾱ := max
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30 S.E. Tuna et al.21.521.5µ=51
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32 S.E. Tuna et al.obstacle and gra
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34 S.E. Tuna et al.[19] C. Prieur.
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36 É. Gyurkovics and A.M. Elaiw[8]
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38 É. Gyurkovics and A.M. ElaiwWe
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Page 55 and 56: Conditions for MPC Based Stabilizat
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Page 123 and 124: ReferencesModel Predictive Control
Page 125 and 126: 116 F.A.C.C. Fontes, L. Magni, and
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146 M. Srinivasarao, S.C. Patwardha
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148 M. Srinivasarao, S.C. Patwardha
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Numerical Methods for Efficient and
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L i (s i ,u i ):=Numerical Methods
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182 A. Grancharova, T.A. Johansen,
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194 V. Sakizlis et al.presented her
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196 V. Sakizlis et al.linear PWA fu
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198 V. Sakizlis et al.non-linear sy
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200 V. Sakizlis et al.Remark 1. For
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202 V. Sakizlis et al.One should no
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204 V. Sakizlis et al.g0.050.10.15x
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Interior-Point Algorithms for Nonli
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n p,2 ≤Interior-Point Algorithms
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Hard Constraints for Prioritized Ob
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A Nonlinear Model Predictive Contro
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Robustness and Robust Design of MPC
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MPC for Stochastic SystemsMark Cann
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y i (k) =∑n um=1MPC for Stochasti
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MPC for Stochastic Systems 259we ha
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MPC for Stochastic Systems 261form
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MPC for Stochastic Systems 263( )κ
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MPC for Stochastic Systems 265Fig.
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MPC for Stochastic Systems 267⎡
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NMPC for Complex Stochastic Systems
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284 H. Chen et al.of the moving hor
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286 H. Chen et al.Hence, at each sa
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288 H. Chen et al.control inputs in
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290 H. Chen et al.Corollary 1. The
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292 H. Chen et al.c A[mol/l]10−10
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294 H. Chen et al.[CSA97] H.Chen,C.
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296 L. Xie, P. Li, and G. Woznyand
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298 L. Xie, P. Li, and G. WoznyDeta
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300 L. Xie, P. Li, and G. Wozny3.2
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302 L. Xie, P. Li, and G. WoznyFig.
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304 L. Xie, P. Li, and G. Wozny[3]
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306 H. Arellano-Garcia et al.applic
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308 H. Arellano-Garcia et al.Fig. 1
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310 H. Arellano-Garcia et al.RECIPE
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312 H. Arellano-Garcia et al.optimi
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314 H. Arellano-Garcia et al.The re
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Interval Arithmetic in Robust Nonli
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Optimal Online Control of Dynamical
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State Estimation Analysed as Invers
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Minimum-Distance Receding-Horizon S
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New Extended Kalman Filter Algorith
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NLMPC: A Platform for Optimal Contr
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384 K. Naidoo et al.polymer control
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386 K. Naidoo et al.are two key qua
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388 K. Naidoo et al.1. It greatly s
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390 K. Naidoo et al.However, with t
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392 K. Naidoo et al.Fig. 4. Bounded
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394 K. Naidoo et al.1. Maintain pro
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396 K. Naidoo et al.7 Commissioning
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398 K. Naidoo et al.[3] N.M.C. Oliv
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400 R. Franke and J. DoppelhamerImp
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402 R. Franke and J. DoppelhamerFig
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404 R. Franke and J. DoppelhamerFig
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406 R. Franke and J. Doppelhamer[3]
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408 B.A. Foss and T.S. Scheicritica
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410 B.A. Foss and T.S. ScheiFig. 2.
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412 B.A. Foss and T.S. Scheidiscuss
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414 B.A. Foss and T.S. ScheiOther a
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416 B.A. Foss and T.S. ScheiIn the
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Integration of Economical Optimizat
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Controlling Distributed Hyperbolic
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444 K.R. Muske, A.E. Witmer, and R.
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Robust NMPC for a Benchmark Fed-Bat
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Real-Time Implementation of Nonline
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Non-linear Model Predictive Control
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NMPC of the Hashimoto Simulated Mov
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486 R. Lepore et al.In this study,
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488 R. Lepore et al.3 Control Strat
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490 R. Lepore et al.400.80.6|x−x
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492 R. Lepore et al.0.950.9w P;30.8
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Hybrid NMPC Control of a Sugar Hous
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Application of the NEPSAC Nonlinear
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Integrating Fault Diagnosis with No
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524 M. Alamirmin V (x u(·,x),T) un
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526 M. AlamirDefinition 4. The syst
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528 M. Alamir♭V is radially unbou
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530 M. AlamirBut according to the s
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532 M. AlamirFig. 2. Stabilization
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534 M. AlamirFig. 3. Closed loop be
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A New Real-Time Method for Nonlinea
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A Two-Time-Scale Control Scheme for
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566 X.-B. Hu and W.-H. Chen2 Online
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568 X.-B. Hu and W.-H. Chentime alo
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570 X.-B. Hu and W.-H. ChenFig. 3.
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572 X.-B. Hu and W.-H. ChenTable 4.
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574 M. Fujita et al. CameraCameraTa
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576 M. Fujita et al.J(u, t) =∫t+T
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578 M. Fujita et al.ξ 2[rad/s]6420
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580 M. Fujita et al.Acknowledgement
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582 A. Casavola, D. Famularo, and G
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4. c(t) ∈Cfor all t ∈ Z + ;5. T
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Distributed Model Predictive Contro
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608 W.B. Dunbar and S. Desaand sequ
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610 W.B. Dunbar and S. Desademand r
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612 W.B. Dunbar and S. Desabacklog
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614 W.B. Dunbar and S. Desacasescas
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Robust Model Predictive Control for
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630 J.J. Arrieta-Camacho, L.T. Bieg
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Author IndexAlamir, Mazen 523Alamo,
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Lecture Notes in Control and Inform
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