메뉴 건너뛰기




Volumn 3, Issue , 2004, Pages 2491-2496

Robust explicit MPC based on approximate multi-parametric convex programming

Author keywords

Model predictive control; Multi parametric programming; Robust control; Uncertain systems

Indexed keywords

ALGORITHMS; LINEAR PROGRAMMING; MATRIX ALGEBRA; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING; UNCERTAIN SYSTEMS;

EID: 14244269694     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (30)

References (20)
  • 1
    • 0036027604 scopus 로고    scopus 로고
    • The explicit linear quadratic regulator for constrained systems
    • 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.
    • (2002) Automatica , vol.38 , Issue.1 , pp. 3-20
    • Bemporad, A.1    Morari, M.2    Dua, V.3    Pistikopoulos, E.4
  • 2
    • 0037363301 scopus 로고    scopus 로고
    • An algorithm for multiparametric quadratic programming and explicit MPC solutions
    • Mar.
    • P. Tøndel, T. Johansen, and A. Bemporad, "An algorithm for multiparametric quadratic programming and explicit MPC solutions," Automatica, vol. 39, no. 3, pp. 489-497, Mar. 2003.
    • (2003) Automatica , vol.39 , Issue.3 , pp. 489-497
    • Tøndel, P.1    Johansen, T.2    Bemporad, A.3
  • 4
    • 1242287565 scopus 로고    scopus 로고
    • Computation of the constrained infinite time linear quadratic regulator
    • P. Grieder, F. Borrelli, F. Torrisi, and M. Morari, "Computation of the constrained infinite time linear quadratic regulator," Automatica, vol. 40, no. 4, pp. 701-708, 2004.
    • (2004) Automatica , vol.40 , Issue.4 , pp. 701-708
    • Grieder, P.1    Borrelli, F.2    Torrisi, F.3    Morari, M.4
  • 5
    • 0008285506 scopus 로고
    • A minimax control problem for sampled linear systems
    • H.S.Witsenhausen, "A minimax control problem for sampled linear systems," IEEE Transactions on Automatic Control, vol. 13, no. 1, pp. 5-21, 1968.
    • (1968) IEEE Transactions on Automatic Control , vol.13 , Issue.1 , pp. 5-21
    • Witsenhausen, H.S.1
  • 7
    • 0030260606 scopus 로고    scopus 로고
    • Robust constrained model predictive control using linear matrix inequalities
    • M. Kothare, V. Balakrishnan, and M. Morari, "Robust constrained model predictive control using linear matrix inequalities," Automatica, vol. 32, pp. 1361-1379, 1996.
    • (1996) Automatica , vol.32 , pp. 1361-1379
    • Kothare, M.1    Balakrishnan, V.2    Morari, M.3
  • 8
    • 0026820493 scopus 로고
    • On linear programming and robust model-predictive control using impulse-response
    • J. Allwright and G. Papavasiliou, "On linear programming and robust model-predictive control using impulse-response," System and Control Letters, vol. 18, pp. 159-164, 1992.
    • (1992) System and Control Letters , vol.18 , pp. 159-164
    • Allwright, J.1    Papavasiliou, G.2
  • 9
    • 0031131486 scopus 로고    scopus 로고
    • Worst case formulations of model predictive control for systems with bounded parameters
    • J.H.Lee and Z. Yu, "Worst case formulations of model predictive control for systems with bounded parameters," Automatica, vol. 3, no. 5, pp. 763-781, 1997.
    • (1997) Automatica , vol.3 , Issue.5 , pp. 763-781
    • Lee, J.H.1    Yu, Z.2
  • 10
    • 0032137461 scopus 로고    scopus 로고
    • Min-max feedback model predictive control for constrained linear systems
    • P. O. M. Scokaert and D. Mayne, "Min-max feedback model predictive control for constrained linear systems," IEEE Transactions on Automatic Control, vol. 43, no. 8, pp. 1136-1142, 1998.
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.8 , pp. 1136-1142
    • Scokaert, P.O.M.1    Mayne, D.2
  • 11
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control: Stability and optimality
    • D. Mayne, J. Rawlings, C. Rao, and P. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, pp. 789-814, 2000.
    • (2000) Automatica , vol.36 , pp. 789-814
    • Mayne, D.1    Rawlings, J.2    Rao, C.3    Scokaert, P.4
  • 12
    • 0344082136 scopus 로고    scopus 로고
    • A new robust model predicitive control method I: Theory and computation
    • Y.J.Wang and J. Rawlings, "A new robust model predicitive control method I: theory and computation," Journal of Process Control, vol. 14, no. 3, pp. 231-247, 2003.
    • (2003) Journal of Process Control , vol.14 , Issue.3 , pp. 231-247
    • Wang, Y.J.1    Rawlings, J.2
  • 13
    • 0012665864 scopus 로고    scopus 로고
    • Min-max control of constrained uncertain discrete-time linear systems
    • A. Bemporad, F. Borrelli, and M. Morari, "Min-max control of constrained uncertain discrete-time linear systems," IEEE Trans. Automatic Control, vol. 48, no. 9, pp. 1600-1606, 2003.
    • (2003) IEEE Trans. Automatic Control , vol.48 , Issue.9 , pp. 1600-1606
    • Bemporad, A.1    Borrelli, F.2    Morari, M.3
  • 14
    • 33847237399 scopus 로고    scopus 로고
    • Feedback min-max model predictive control using a single linear program: Robust stability and the explicit solution
    • vol. Accepted
    • E. Kerrigan and J. Maciejowski, "Feedback min-max model predictive control using a single linear program: Robust stability and the explicit solution," International Journal of Robust and Nonlinear Control, vol. Accepted, 2003.
    • (2003) International Journal of Robust and Nonlinear Control
    • Kerrigan, E.1    Maciejowski, J.2
  • 15
    • 0035708920 scopus 로고    scopus 로고
    • On the piecewise linear nature of minmax model predictive control with bounded uncertainties
    • December, 4-7
    • D. Ramírez and E. Camacho, "On the piecewise linear nature of minmax model predictive control with bounded uncertainties," in Proc. 40th Conference on Decision and Control, CDC'2001, December, 4-7 2001.
    • (2001) Proc. 40th Conference on Decision and Control, CDC'2001
    • Ramírez, D.1    Camacho, E.2
  • 16
    • 0037401745 scopus 로고    scopus 로고
    • An efficient off-line formulation of robust model predictive control using linear matrix inequalities
    • Z. Wan and M. Kothare, "An efficient off-line formulation of robust model predictive control using linear matrix inequalities," Automatica, vol. 39, pp. 837-846, 2003.
    • (2003) Automatica , vol.39 , pp. 837-846
    • Wan, Z.1    Kothare, M.2
  • 17
    • 1542288349 scopus 로고    scopus 로고
    • An algorithm for multi-parametric mixed integer semidefinite optimisation
    • C. Rowe and J. Maciejowski, "An algorithm for multi-parametric mixed integer semidefinite optimisation," in Proc. 42th IEEE Conf. on Decision and Control, 2003, pp. 3197-3202.
    • (2003) Proc. 42th IEEE Conf. on Decision and Control , pp. 3197-3202
    • Rowe, C.1    Maciejowski, J.2
  • 19
    • 0013240063 scopus 로고
    • Inequalities for stochastic nonlinear programming problems
    • O. Mangasarian and J. Rosen, "Inequalities for stochastic nonlinear programming problems," Operations Research, vol. 12, pp. 143-154, 1964.
    • (1964) Operations Research , vol.12 , pp. 143-154
    • Mangasarian, O.1    Rosen, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.