메뉴 건너뛰기




Volumn 56, Issue 11, 2011, Pages 2530-2541

A multiresolution approximation method for fast explicit model predictive control

Author keywords

Explicit model predictive control (MPC); fast MPC; model predictive control; multiscale methods; receding horizon control

Indexed keywords

CONTROL INPUTS; CONTROL LAWS; EXPLICIT MODEL PREDICTIVE CONTROL; FAST MPC; HORIZON CONTROL; LOGARITHMIC TIME; LOW COMPLEXITY; MULTIRESOLUTION APPROXIMATION; MULTISCALE METHOD; OFFLINE; PARAMETRIC OPTIMIZATION; PERFORMANCE LOSS; SECOND ORDERS; STABILIZING CONTROL LAW; WAVELET MULTI-RESOLUTION ANALYSIS;

EID: 80455156395     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2146990     Document Type: Article
Times cited : (80)

References (33)
  • 1
    • 0036027604 scopus 로고    scopus 로고
    • The explicit linear quadratic regulator for constrained systems
    • Jan
    • A. Bemporad, M. Morari, V. Dua, and E. N. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, pp. 3-20, Jan. 2002.
    • (2002) Automatica , vol.38 , pp. 3-20
    • Bemporad, A.1    Morari, M.2    Dua, V.3    Pistikopoulos, E.N.4
  • 2
    • 0034439243 scopus 로고    scopus 로고
    • On explicit suboptimal LQR with state and input constraints
    • T. A. Johansen and I. Petersen, "On explicit suboptimal LQR with state and input constraints," in Proc. IEEE Conf. Decision Control, 2000, pp. 05-06.
    • (2000) Proc. IEEE Conf. Decision Control , pp. 05-06
    • Johansen, T.A.1    Petersen, I.2
  • 3
    • 77950794277 scopus 로고    scopus 로고
    • Geometry of model predictive control including bounded and stochastic disturbances under state and input constraints
    • M. M. Seron, G. C. Goodwin, and J. A. D. Dona, "Geometry of model predictive control including bounded and stochastic disturbances under state and input constraints," Univ. of Newcastle, Tech. Rep., 2000.
    • (2000) Univ. of Newcastle, Tech. Rep
    • Seron, M.M.1    Goodwin, G.C.2    Dona, J.A.D.3
  • 4
    • 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
  • 5
    • 66749135176 scopus 로고    scopus 로고
    • A survey on explicit model predictive control
    • L. Magni, D. Raimondo, and F. Allgwer, Eds. Berlin, Heidelberg, Germany: Springer
    • A. Alessio and A. Bemporad, "A survey on explicit model predictive control," in Nonlinear Model Predictive Control, ser. Lecture Notes in Control and Information Sciences, L. Magni, D. Raimondo, and F. Allgwer, Eds. Berlin, Heidelberg, Germany: Springer, 2009, vol. 384, pp. 345-369.
    • (2009) Nonlinear Model Predictive Control, ser Lecture Notes in Control and Information Sciences , vol.384 , pp. 345-369
    • Alessio, A.1    Bemporad, A.2
  • 6
    • 33748296172 scopus 로고    scopus 로고
    • An algorithm for approximate multiparametric convex programming
    • A. Bemporad and C. Filippi, "An algorithm for approximate multiparametric convex programming," Comput. Optim. Appl., vol. 35, no. 1, pp. 87-108, 2006.
    • (2006) Comput. Optim. Appl. , vol.35 , Issue.1 , pp. 87-108
    • Bemporad, A.1    Filippi, C.2
  • 7
    • 0037955662 scopus 로고    scopus 로고
    • Approximate explicit constrained linear model predictive control via orthogonal search tree
    • May
    • T. A. Johansen and R. 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, R.2
  • 8
    • 33747862706 scopus 로고    scopus 로고
    • Relaxing dynamic programming
    • Aug
    • B. Lincoln and A. Rantzer, "Relaxing dynamic programming," IEEE Trans. Autom. Control, vol. 51, no. 8, pp. 1249-1260, Aug. 2006.
    • (2006) IEEE Trans. Autom. Control , vol.51 , Issue.8 , pp. 1249-1260
    • Lincoln, B.1    Rantzer, A.2
  • 9
    • 0037877916 scopus 로고    scopus 로고
    • Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming
    • Apr
    • A. Bemporad and C. Filippi, "Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming," J. Optimiz. Theory Applicat., vol. 117, pp. 9-38, Apr. 2003.
    • (2003) J. Optimiz. Theory Applicat. , vol.117 , pp. 9-38
    • Bemporad, A.1    Filippi, C.2
  • 10
    • 62949180643 scopus 로고    scopus 로고
    • The double description method for the approximation of explicit MPC control laws
    • C. Jones and M. Morari, "The double description method for the approximation of explicit MPC control laws," in Proc. Conf. Decision Control, CDC, 2008.
    • (2008) Proc. Conf. Decision Control, CDC
    • Jones, C.1    Morari, M.2
  • 11
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported bases
    • I. Daubechies, "Orthonormal bases of compactly supported bases," Commun. Pure Appl. Math., vol. 41, pp. 909-996, 1988.
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 12
    • 0001295624 scopus 로고
    • Orthonormal bases of compactly supported wavelets II: Variations on a theme
    • I. Daubechies, "Orthonormal bases of compactly supported wavelets II: Variations on a theme," SIAM J. Math. Anal., vol. 24, no. 2, pp. 499-519, 1993.
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.2 , pp. 499-519
    • Daubechies, I.1
  • 15
    • 34249975165 scopus 로고
    • Symmetric iterative interpolation processes
    • G. Deslauriers and S. Dubuc, "Symmetric iterative interpolation processes," Constructive Approx., vol. 5, pp. 49-68, 1989.
    • (1989) Constructive Approx. , vol.5 , pp. 49-68
    • Deslauriers, G.1    Dubuc, S.2
  • 17
    • 1242331283 scopus 로고    scopus 로고
    • Multiscale approximation with hierarchical radial basis functions networks
    • Jan
    • S. Ferrari, M. Maggioni, and N. Borghese, "Multiscale approximation with hierarchical radial basis functions networks," IEEE Trans. Neural Netw., vol. 15, no. 1, pp. 178-188, Jan. 2004.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , Issue.1 , pp. 178-188
    • Ferrari, S.1    Maggioni, M.2    Borghese, N.3
  • 18
    • 85009724776 scopus 로고    scopus 로고
    • Nonlinear approximation
    • R. A. DeVore, "Nonlinear approximation," Acta Numerica, vol. 7, no. 1, pp. 51-150, 1998.
    • (1998) Acta Numerica , vol.7 , Issue.1 , pp. 51-150
    • DeVore, R.A.1
  • 19
    • 2942633452 scopus 로고    scopus 로고
    • Sparse grids
    • H.-J. Bungartz and M. Griebel, "Sparse grids," Acta Numerica, vol. 13, no. 1, pp. 147-269, 2004.
    • (2004) Acta Numerica , vol.13 , Issue.1 , pp. 147-269
    • Bungartz, H.-J.1    Griebel, M.2
  • 20
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • Jul
    • S. G. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Mach. Intell., vol. 11, no. 7, pp. 674-693, Jul. 1989.
    • (1989) IEEE Trans. Pattern Anal. Mach. Intell. , vol.11 , Issue.7 , pp. 674-693
    • Mallat, S.G.1
  • 22
    • 1942512559 scopus 로고    scopus 로고
    • Adaptive wavelet solvers for the unsteady incompressible navier-stokes equations
    • New York:Springer
    • M. Griebel and F. Koster, "Adaptive wavelet solvers for the unsteady incompressible navier-stokes equations," in Advanced Mathematical Theories in Fluid Mechanics. New York: Springer, 2000, pp. 67-118.
    • (2000) Advanced Mathematical Theories in Fluid Mechanics , pp. 67-118
    • Griebel, M.1    Koster, F.2
  • 23
    • 33645788884 scopus 로고    scopus 로고
    • A general construction of barycentric coordinates over convex polygons
    • Jan
    • M. Floater, K. Hormann, and G. Kós, "A general construction of barycentric coordinates over convex polygons," Adv. Comput. Math., vol. 24, pp. 311-331, Jan. 2006.
    • (2006) Adv. Comput. Math. , vol.24 , pp. 311-331
    • Floater, M.1    Hormann, K.2    Kós, G.3
  • 24
    • 77950819471 scopus 로고    scopus 로고
    • A multiscale approximation scheme for explicit model predictive control with stability, feasibility, and performance guarantees
    • Shanghai, China, Dec
    • S. Summers, C. Jones, J. Lygeros, and M. Morari, "A multiscale approximation scheme for explicit model predictive control with stability, feasibility, and performance guarantees," in Proc. IEEE Conf. Decision Control, Shanghai, China, Dec. 2009, pp. 6327-6332.
    • (2009) Proc. IEEE Conf. Decision Control , pp. 6327-6332
    • Summers, S.1    Jones, C.2    Lygeros, J.3    Morari, M.4
  • 25
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control: Stability and optimality
    • Jun
    • 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, Jun. 2000.
    • (2000) Automatica , vol.36 , Issue.6 , pp. 789-814
    • Mayne, D.Q.1    Rawlings, J.B.2    Rao, C.V.3    Scokaert, M.4
  • 26
    • 78149237607 scopus 로고    scopus 로고
    • Polytopic approximation of explicit model predictive controllers
    • Nov
    • C. N. Jones and M. Morari, "Polytopic approximation of explicit model predictive controllers," IEEE Trans. Autom. Control, vol. 55, no. 11, pp. 2542-2553, Nov. 2010.
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.11 , pp. 2542-2553
    • Jones, C.N.1    Morari, M.2
  • 27
    • 0033101259 scopus 로고    scopus 로고
    • Suboptimal model predictive control (feasibility implies stability)
    • Mar
    • P. O. M. Scokaert, D. Q. Mayne, and J. B. Rawlings, "Suboptimal model predictive control (feasibility implies stability)," IEEE Trans. Autom. Control, vol. 44, no. 3, pp. 648-654, Mar. 1999.
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.3 , pp. 648-654
    • Scokaert, P.O.M.1    Mayne, D.Q.2    Rawlings, J.B.3
  • 28
    • 57949083845 scopus 로고    scopus 로고
    • Predictive control of hybrid systems: Input-to-state stability results for sub-optimal solutions
    • M. Lazar and W. Heemels, "Predictive control of hybrid systems: Input-to-state stability results for sub-optimal solutions," Automatica, vol. 45, no. 1, pp. 180-185, 2009.
    • (2009) Automatica , vol.45 , Issue.1 , pp. 180-185
    • Lazar, M.1    Heemels, W.2
  • 29
    • 0033221515 scopus 로고    scopus 로고
    • Set invariance in control-A survey
    • F. Blanchini, "Set invariance in control-A survey," Automatica, vol. 35, no. 11, pp. 1747-1768, 1999.
    • (1999) Automatica , vol.35 , Issue.11 , pp. 1747-1768
    • Blanchini, F.1
  • 31
    • 0027112822 scopus 로고
    • An optimal algorithm for generating minimal perfect hash functions
    • Z. J. Czech, G. Havas, and B. S. Majewski, "An optimal algorithm for generating minimal perfect hash functions," Information Process. Lett., vol. 43, pp. 257-264, 1992.
    • (1992) Information Process. Lett. , vol.43 , pp. 257-264
    • Czech, Z.J.1    Havas, G.2    Majewski, B.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.