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Volumn 56, Issue 1, 2011, Pages 194-200

Stochastic tubes in model predictive control with probabilistic constraints

Author keywords

Constrained control; model predictive control (MPC); probabilistic constraints; stochastic systems

Indexed keywords

CONSTRAINED CONTROLS; CONSTRAINT SATISFACTION; CROSS SECTION; MODEL PREDICTIVE CONTROL (MPC); NUMERICAL EXAMPLE; OFFLINE; ON-LINE COMPUTATIONAL LOADS; ONLINE COMPUTATIONS; PERFORMANCE IMPROVEMENTS; PREDICTION HORIZON; PROBABILISTIC CONSTRAINTS; SCALINGS; TECHNICAL NOTES;

EID: 78651341117     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2086553     Document Type: Article
Times cited : (231)

References (23)
  • 1
    • 68749104352 scopus 로고    scopus 로고
    • Chance constrained optimization of process systems under uncertainty: I. Strict monotonicity
    • H. Arellano-Garcia and G. Wozny, "Chance constrained optimization of process systems under uncertainty: I. Strict monotonicity," Comp. Chem. Eng., vol. 33, no. 10, pp. 1568-1583, 2009.
    • (2009) Comp. Chem. Eng. , vol.33 , Issue.10 , pp. 1568-1583
    • Arellano-Garcia, H.1    Wozny, G.2
  • 3
    • 70349443392 scopus 로고    scopus 로고
    • Probabilistic tubes in linear stochastic model predictive control
    • M. Cannon, B. Kouvaritakis, and D. Ng, "Probabilistic tubes in linear stochastic model predictive control," Syst. Control Lett., vol. 58, no. 10, pp. 747-753, 2009.
    • (2009) Syst. Control Lett. , vol.58 , Issue.10 , pp. 747-753
    • Cannon, M.1    Kouvaritakis, B.2    Ng, D.3
  • 4
    • 67949086640 scopus 로고    scopus 로고
    • Probabilistic constrained MPC for multiplicative and additive stochastic uncertainty
    • Jul.
    • M. Cannon, B. Kouvaritakis, and X. Wu, "Probabilistic constrained MPC for multiplicative and additive stochastic uncertainty," IEEE Trans. Autom. Control, vol. 54, no. 7, pp. 1626-1632, Jul. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.7 , pp. 1626-1632
    • Cannon, M.1    Kouvaritakis, B.2    Wu, X.3
  • 5
    • 66749121245 scopus 로고    scopus 로고
    • Successive linearization NMPC for a class of stochastic nonlinear systems
    • New York: Springer, Lecture Notes in Control and Information Sciences
    • M. Cannon, D. Ng, and B. Kouvaritakis, "Successive linearization NMPC for a class of stochastic nonlinear systems," in Nonlinear Model Predictive Control: Towards New Challenging Applications. New York: Springer, 2009, vol. 384, Lecture Notes in Control and Information Sciences, pp. 249-262.
    • (2009) Nonlinear Model Predictive Control: Towards New Challenging Applications , vol.384 , pp. 249-262
    • Cannon, M.1    Ng, D.2    Kouvaritakis, B.3
  • 7
    • 0026222290 scopus 로고
    • Linear systems with state and control constraints: The theory and practice of maximal admissible sets
    • Sep.
    • E. G. Gilbert and K. T. Tan, "Linear systems with state and control constraints: The theory and practice of maximal admissible sets," IEEE Trans. Autom. Control, vol. 36, no. 9, pp. 1008-1020, Sep. 1991.
    • (1991) IEEE Trans. Autom. Control , vol.36 , Issue.9 , pp. 1008-1020
    • Gilbert, E.G.1    Tan, K.T.2
  • 8
    • 0034115111 scopus 로고    scopus 로고
    • Robust steadystate target calculation for model predictive control
    • D. E. Kassmann, T. A. Badgwell, and R. B. Hawkins, "Robust steadystate target calculation for model predictive control," AIChE J., vol. 46, no. 5, pp. 1007-1024, 2000.
    • (2000) AIChE J. , vol.46 , Issue.5 , pp. 1007-1024
    • Kassmann, D.E.1    Badgwell, T.A.2    Hawkins, R.B.3
  • 9
    • 44349085307 scopus 로고    scopus 로고
    • Input-to-state stabilizing sub-optimal NMPC with an application to dc-dc converters
    • M. Lazar,W. Heemels, B. Roset, H. Nijmeijer, and P. Van Den Bosch, "Input-to-state stabilizing sub-optimal NMPC with an application to dc-dc converters," Int. J. Rob. Nonlin. Control, vol. 18, no. 8, pp. 890-904, 2008.
    • (2008) Int. J. Rob. Nonlin. Control , vol.18 , Issue.8 , pp. 890-904
    • Lazar, M.1    Heemels, W.2    Roset, B.3    Nijmeijer, H.4    Van Den Bosch, P.5
  • 10
    • 0000527130 scopus 로고    scopus 로고
    • Robust receding horizon predictive control for systems with uncertain dynamics and input saturation
    • Y. I. Lee and B.Kouvaritakis, "Robust receding horizon predictive control for systems with uncertain dynamics and input saturation," Automatica, vol. 36, no. 10, pp. 1497-1504, 2000.
    • (2000) Automatica , vol.36 , Issue.10 , pp. 1497-1504
    • Lee, Y.I.1    Kouvaritakis, B.2
  • 11
    • 0036888256 scopus 로고    scopus 로고
    • Constrained receding horizon predictive control for nonlinear systems
    • Y. I. Lee, B. Kouvaritakis, and M. Cannon, "Constrained receding horizon predictive control for nonlinear systems," Automatica, vol. 38, no. 12, 2002.
    • (2002) Automatica , vol.38 , Issue.12
    • Lee, Y.I.1    Kouvaritakis, B.2    Cannon, M.3
  • 12
    • 0036642556 scopus 로고    scopus 로고
    • A probabilistically constrained model predictive controller
    • P. Li, M.Wendt, and G.Wozny, "A probabilistically constrained model predictive controller," Automatica, vol. 38, no. 7, pp. 1171-1176, 2002.
    • (2002) Automatica , vol.38 , Issue.7 , pp. 1171-1176
    • Li, P.1    Wendt, M.2    Wozny, G.3
  • 13
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control: Stability and optimality
    • D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, no. 6, pp. 789-814, 2000.
    • (2000) Automatica , vol.36 , Issue.6 , pp. 789-814
    • Mayne, D.Q.1    Rawlings, J.B.2    Rao, C.V.3    Scokaert, P.O.M.4
  • 14
    • 27544455058 scopus 로고    scopus 로고
    • Robust model predictive control of constrained linear systems with bounded disturbances
    • D. Q. Mayne, M. M. Seron, and S. V. Raković, "Robust model predictive control of constrained linear systems with bounded disturbances," Automatica, vol. 41, no. 2, pp. 219-224, 2005.
    • (2005) Automatica , vol.41 , Issue.2 , pp. 219-224
    • Mayne, D.Q.1    Seron, M.M.2    Raković, S.V.3
  • 15
    • 0038824929 scopus 로고    scopus 로고
    • Robust nonlinear model predictive control of batch processes
    • Z. K. Nagy and R. D. Braatz, "Robust nonlinear model predictive control of batch processes," AIChE J., vol. 49, no. 7, pp. 1776-1786, 2003.
    • (2003) AIChE J. , vol.49 , Issue.7 , pp. 1776-1786
    • Nagy, Z.K.1    Braatz, R.D.2
  • 16
    • 0003781238 scopus 로고    scopus 로고
    • Cambridge, U.K.: Cambridge Univ. Press
    • J. R. Norris, Markov Chains. Cambridge, U.K.: Cambridge Univ. Press, 1997.
    • (1997) Markov Chains
    • Norris, J.R.1
  • 18
    • 79961018480 scopus 로고    scopus 로고
    • Approximate reachability analysis for linear discrete time systems using homothety and invariance
    • Seoul, Korea
    • S. V. Raković and M. Fiacchini, "Approximate reachability analysis for linear discrete time systems using homothety and invariance," in Proc. 17th IFAC World Congr., Seoul, Korea, 2008, pp. 15327-15332.
    • (2008) Proc. 17th IFAC World Congr. , pp. 15327-15332
    • Raković, S.V.1    Fiacchini, M.2
  • 19
    • 39649101115 scopus 로고    scopus 로고
    • Simple robust control invariant tubes for some classes of nonlinear discrete time systems
    • San Diego, CA
    • S. V. Raković, A. R. Teel, D. Q. Mayne, and A. Astolfi, "Simple robust control invariant tubes for some classes of nonlinear discrete time systems," in Proc. 45th IEEE Conf. Dec. Control, San Diego, CA, 2008, pp. 6397-6402.
    • (2008) Proc. 45th IEEE Conf. Dec. Control , pp. 6397-6402
    • Raković, S.V.1    Teel, A.R.2    Mayne, D.Q.3    Astolfi, A.4
  • 20
    • 0032783568 scopus 로고    scopus 로고
    • Chance constrained model predictive control
    • A. Schwarm and M. Nikolaou, "Chance constrained model predictive control," AIChE J., vol. 45, no. 8, pp. 1743-1752, 1999.
    • (1999) AIChE J. , vol.45 , Issue.8 , pp. 1743-1752
    • Schwarm, A.1    Nikolaou, M.2
  • 21
    • 0036994289 scopus 로고    scopus 로고
    • A conic reformulation of model predictive control including bounded and stochastic disturbances under state and input constraints
    • Las Vegas, NV
    • D. H. van Hessem and O. H. Bosgra, "A conic reformulation of model predictive control including bounded and stochastic disturbances under state and input constraints," in Proc. 41st IEEE Conf. Dec. Control, Las Vegas, NV, 2002, pp. 4643-4648.
    • (2002) Proc. 41st IEEE Conf. Dec. Control , pp. 4643-4648
    • Van Hessem, D.H.1    Bosgra, O.H.2
  • 22
    • 0344082136 scopus 로고    scopus 로고
    • A new robust model predictive control method I: Theory and computation
    • Y. J. Wang and J. B. Rawlings, "A new robust model predictive control method I: Theory and computation," J. Proc. Control, vol. 14, pp. 231-247, 2004.
    • (2004) J. Proc. Control , vol.14 , pp. 231-247
    • Wang, Y.J.1    Rawlings, J.B.2
  • 23
    • 13944263294 scopus 로고    scopus 로고
    • Incorporating state estimation into model predictive control and its application to network traffic control
    • J. Yan and R. Bitmead, "Incorporating state estimation into model predictive control and its application to network traffic control," Automatica, vol. 41, no. 4, pp. 595-604, 2005.
    • (2005) Automatica , vol.41 , Issue.4 , pp. 595-604
    • Yan, J.1    Bitmead, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.