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Volumn 56, Issue 7, 2011, Pages 1524-1534

Real-time suboptimal model predictive control using a combination of explicit MPC and online optimization

Author keywords

Linear systems; model predictive control (MPC); parametric linear programming; real time MPC

Indexed keywords

ACTIVE SETS; COMPUTATION TIME; COMPUTATIONAL EFFORT; EXPLICIT CONTROL LAW; HARD REAL-TIME; MODEL PREDICTIVE CONTROL (MPC); MODEL PREDICTIVE CONTROLLERS; NUMERICAL EXAMPLE; ONLINE COMPUTATIONS; ONLINE OPTIMIZATION; OPTIMAL COMBINATION; OPTIMAL CONTROLLER; OPTIMAL SOLUTIONS; PARAMETRIC LINEAR PROGRAMMING; PERFORMANCE GUARANTEES; PIECEWISE AFFINE APPROXIMATION; PRE-PROCESSING METHOD; REAL PROBLEMS; REAL-TIME MPC; STORAGE SPACES;

EID: 79960127604     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2108450     Document Type: Article
Times cited : (197)

References (34)
  • 1
    • 0036957343 scopus 로고    scopus 로고
    • Model predictive control based on linear programming-The explicit solution
    • Dec.
    • A. Bemporad, F. Borrelli, and M. Morari, "Model predictive control based on linear programming-The explicit solution," IEEE Trans. Autom. Control, vol. 47, no. 12, pp. 1974-1985, Dec. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.12 , pp. 1974-1985
    • Bemporad, A.1    Borrelli, F.2    Morari, M.3
  • 2
    • 0036027604 scopus 로고    scopus 로고
    • The explicit linear quadratic regulator for constrained systems
    • DOI 10.1016/S0005-1098(01)00174-1, PII S0005109801001741
    • A. Bemporad, M. Morari, V. Dua, and E. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, no. 1, pp. 3-20, 2002. (Pubitemid 33034535)
    • (2002) Automatica , vol.38 , Issue.1 , pp. 3-20
    • Bemporad, A.1    Morari, M.2    Dua, V.3    Pistikopoulos, E.N.4
  • 3
    • 4744370006 scopus 로고    scopus 로고
    • ser. Lecture Notes in Control and Information Science. New York: Springer Verlag
    • F. Borrelli, Constrained Optimal Control of Linear and Hybrid Systems, ser. Lecture Notes in Control and Information Science. New York: Springer Verlag, 2003, vol. 290.
    • (2003) Constrained Optimal Control of Linear and Hybrid Systems , vol.290
    • Borrelli, F.1
  • 4
    • 0032286110 scopus 로고    scopus 로고
    • Application of interiorpoint methods to model predictive control
    • C. V. Rao, S. J. Wright, and J. B. Rawlings, "Application of interiorpoint methods to model predictive control," J. Optim. Theory Appl., vol. 99, pp. 723-757, 1998.
    • (1998) J. Optim. Theory Appl. , vol.99 , pp. 723-757
    • Rao, C.V.1    Wright, S.J.2    Rawlings, J.B.3
  • 5
    • 33747862706 scopus 로고    scopus 로고
    • Relaxing dynamic programming
    • DOI 10.1109/TAC.2006.878720
    • B. Lincoln and A. Rantzer, "Relaxing dynamic programming," IEEE Trans. Autom. Control, vol. 51, no. 8, pp. 1249-1260, Aug. 2006. (Pubitemid 44283228)
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.8 , pp. 1249-1260
    • Lincoln, B.1    Rantzer, A.2
  • 6
    • 0036354771 scopus 로고    scopus 로고
    • Warm-start strategies in interior-point methods for linear programming
    • E. A. Yildirim and S. J. Wright, "Warm-start strategies in interior-point methods for linear programming," SIAM J. Optim., vol. 12, no. 3, pp. 782-810, 2002.
    • (2002) SIAM J. Optim. , vol.12 , Issue.3 , pp. 782-810
    • Yildirim, E.A.1    Wright, S.J.2
  • 7
    • 0037877916 scopus 로고    scopus 로고
    • Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming
    • A. Bemporad and C. Filippi, "Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming," J. Optim. Theory Appl., vol. 117, pp. 9-38, 2003.Q
    • (2003) J. Optim. Theory Appl. , vol.117 , pp. 9-38
    • Bemporad, A.1    Filippi, C.2
  • 8
    • 0037955662 scopus 로고    scopus 로고
    • Approximate explicit constrained linear model predictive control via orthogonal search tree
    • May
    • T. A. Johansen and A. Grancharova, "Approximate explicit constrained linear model predictive control via orthogonal search tree," IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 810-815, May 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.5 , pp. 810-815
    • Johansen, T.A.1    Grancharova, A.2
  • 9
    • 33748296172 scopus 로고    scopus 로고
    • An algorithm for approximate multiparametric convex programming
    • DOI 10.1007/s10589-006-6447-z
    • A. Bemporad and C. Filippi, "An algorithm for approximate multiparametric convex programming," Comput. Optim. Appl., vol. 35, no. 1, pp. 87-108, 2006. (Pubitemid 44326980)
    • (2006) Computational Optimization and Applications , vol.35 , Issue.1 , pp. 87-108
    • Bemporad, A.1    Filippi, C.2
  • 10
    • 39549113272 scopus 로고    scopus 로고
    • Multiparametric linear programming with applications to control
    • C. N. Jones, M. Barić, and M. Morari, "Multiparametric linear programming with applications to control," Eur. J. Control, vol. 13, no. 2-3, pp. 152-170, 2007.
    • (2007) Eur. J. Control , vol.13 , Issue.2-3 , pp. 152-170
    • Jones, C.N.1    Barić, M.2    Morari, M.3
  • 11
    • 44349127211 scopus 로고    scopus 로고
    • An online active set strategy to overcome the limitations of explicit MPC
    • DOI 10.1002/rnc.1251
    • H. J. Ferreau, H. G. Bock, and M. Diehl, "An online active set strategy to overcome the limitations of explicit MPC," Int. J. Robust Nonlin. Control, vol. 18, no. 8, pp. 816-830, 2008. (Pubitemid 351743519)
    • (2008) International Journal of Robust and Nonlinear Control , vol.18 , Issue.8 , pp. 816-830
    • Ferreau, H.J.1    Bock, H.G.2    Diehl, M.3
  • 12
    • 79961020317 scopus 로고    scopus 로고
    • Fast model predictive control using online optimization
    • Y. Wang and S. Boyd, "Fast model predictive control using online optimization," in Proc. IFAC World Congr., 2008, pp. 6974-6997.
    • (2008) Proc. IFAC World Congr. , pp. 6974-6997
    • Wang, Y.1    Boyd, S.2
  • 13
    • 62949089254 scopus 로고    scopus 로고
    • Real-time suboptimal model predictive control using a combination of explicit MPC and online computation
    • Cancun, Mexico, Dec.
    • M. N. Zeilinger, C. N. Jones, and M. Morari, "Real-time suboptimal model predictive control using a combination of explicit MPC and online computation," in Proc. 47th IEEE Conf. Decision Control, Cancun, Mexico, Dec. 2008, pp. 4718-4723.
    • (2008) Proc. 47th IEEE Conf. Decision Control , pp. 4718-4723
    • Zeilinger, M.N.1    Jones, C.N.2    Morari, M.3
  • 15
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control: Stability and optimality
    • DOI 10.1016/S0005-1098(99)00214-9
    • D. Mayne, J. Rawlings, C. Rao, and P. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, no. 6, pp. 789-814, 2000. (Pubitemid 30587683)
    • (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
  • 16
    • 77957816494 scopus 로고    scopus 로고
    • Approximate explicit MPC using bilevel optimization
    • Budapest, Hungary, Aug.
    • C. N. Jones and M. Morari, "Approximate explicit MPC using bilevel optimization," in Proc. Eur. Control Conf., Budapest, Hungary, Aug. 2009.
    • (2009) Proc. Eur. Control Conf.
    • Jones, C.N.1    Morari, M.2
  • 19
    • 0000238985 scopus 로고
    • A technique for resolving degeneracy in linear programming
    • P. Wolfe, "A technique for resolving degeneracy in linear programming," SIAM J., vol. 11, pp. 205-211, 1963.
    • (1963) SIAM J. , vol.11 , pp. 205-211
    • Wolfe, P.1
  • 20
    • 0000652462 scopus 로고
    • New finite pivoting rules for the simplex method
    • R. Bland, "New finite pivoting rules for the simplex method," Math. Oper. Res., vol. 2, no. 2, pp. 103-107, 1977.
    • (1977) Math. Oper. Res. , vol.2 , Issue.2 , pp. 103-107
    • Bland, R.1
  • 23
    • 55549105772 scopus 로고    scopus 로고
    • Efficient on-line computation of constrained optimal control
    • M. Baotić, F. Borrelli, A. Bemporad, and M. Morari, "Efficient on-line computation of constrained optimal control," SIAM J. Control Optim., vol. 47, no. 5, pp. 2470-2489, 2008.
    • (2008) SIAM J. Control Optim. , vol.47 , Issue.5 , pp. 2470-2489
    • Baotić, M.1    Borrelli, F.2    Bemporad, A.3    Morari, M.4
  • 24
    • 0037401589 scopus 로고    scopus 로고
    • Evaluation of piecewise affine control via binary search tree
    • May
    • P. Tøndel, T. Johansen, and A. Bemporad, "Evaluation of piecewise affine control via binary search tree," Automatica, vol. 39, no. 5, pp. 945-950, May 2003.
    • (2003) Automatica , vol.39 , Issue.5 , pp. 945-950
    • Tøndel, P.1    Johansen, T.2    Bemporad, A.3
  • 25
    • 33750462380 scopus 로고    scopus 로고
    • A logarithmic-time solution to the point location problem for parametric linear programming
    • DOI 10.1016/j.automatica.2006.07.010, PII S0005109806003074
    • C. N. Jones, P. Grieder, and S. V. Raković, "A logarithmic-time solution to the point location problem for parametric linear programming," Automatica, vol. 42, pp. 2215-2218, 2006. (Pubitemid 44647203)
    • (2006) Automatica , vol.42 , Issue.12 , pp. 2215-2218
    • Jones, C.N.1    Grieder, P.2    Rakovic, S.V.3
  • 26
    • 84927763993 scopus 로고    scopus 로고
    • Efficient point location via subdivision walking with application to explicit MPC
    • Kos, Greece, Jul.
    • Y.Wang, C. N. Jones, and J. M. Maciejowski, "Efficient point location via subdivision walking with application to explicit MPC," in Proc. Eur. Control Conf., Kos, Greece, Jul. 2007, pp. 447-453.
    • (2007) Proc. Eur. Control Conf. , pp. 447-453
    • Wang, Y.1    Jones, C.N.2    MacIejowski, J.M.3
  • 28
    • 0000627541 scopus 로고
    • Multiparametric linear programming
    • T. Gal and J. Nedoma, "Multiparametric linear programming," Manag. Sci., vol. 18, no. 7, pp. 406-422, 1972.
    • (1972) Manag. Sci. , vol.18 , Issue.7 , pp. 406-422
    • Gal, T.1    Nedoma, J.2
  • 29
    • 0003235254 scopus 로고    scopus 로고
    • Applying new optimization algorithms to model predictive control
    • S. J. Wright, "Applying new optimization algorithms to model predictive control," in Proc. 5th Int. Conf. Chem. Process Control-CPC V,1997, vol. 93, pp. 147-155.
    • (1997) Proc. 5th Int. Conf. Chem. Process Control-CPC v , vol.93 , pp. 147-155
    • Wright, S.J.1
  • 30
    • 0000433309 scopus 로고
    • Updated triangular factors of the basis to maintain sparsity in the product form simplex method
    • J. J. H. Forrest and J. A. Tomlin, "Updated triangular factors of the basis to maintain sparsity in the product form simplex method," Math. Programming, vol. 2, no. 1, pp. 263-278, 1972.
    • (1972) Math. Programming , vol.2 , Issue.1 , pp. 263-278
    • Forrest, J.J.H.1    Tomlin, J.A.2
  • 33
    • 0040003962 scopus 로고
    • Approximation of convex bodies by polytopes
    • R. Schneider and J. A.Wieacker, "Approximation of convex bodies by polytopes," Bull. London Math. Soc., vol. 13, no. 2, pp. 149-156, 1981.
    • (1981) Bull. London Math. Soc. , vol.13 , Issue.2 , pp. 149-156
    • Schneider, R.1    Wieacker, J.A.2
  • 34
    • 0007460904 scopus 로고
    • The approximation of convex sets by polyhedra
    • E. M. Bronshteyn and L. D. Ivanov, "The approximation of convex sets by polyhedra," Siberian Math. J., vol. 16, no. 5, pp. 852-853, 1975.
    • (1975) Siberian Math. J. , vol.16 , Issue.5 , pp. 852-853
    • Bronshteyn, E.M.1    Ivanov, L.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.