메뉴 건너뛰기




Volumn 358, Issue 1, 2007, Pages 239-254

Robustness and robust design of MPC for nonlinear discrete-time systems

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; MODEL PREDICTIVE CONTROL; NONLINEAR SYSTEMS; ROBUST CONTROL; ROBUSTNESS (CONTROL SYSTEMS);

EID: 36048930738     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-72699-9_19     Document Type: Article
Times cited : (120)

References (44)
  • 1
    • 0032268563 scopus 로고    scopus 로고
    • Stability margins of discrete-time nonlinear-nonquadratic optimal regulators
    • V. S. Chellaboina and W. M. Haddad. Stability margins of discrete-time nonlinear-nonquadratic optimal regulators. In IEEE CDC, pages 1786-1791, 1998.
    • (1998) IEEE CDC , pp. 1786-1791
    • Chellaboina, V.S.1    Haddad, W.M.2
  • 2
    • 0032183270 scopus 로고    scopus 로고
    • A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability
    • H. Chen and F. Allgöwer. A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability. Automatica, 34:1205-1217, 1998.
    • (1998) Automatica , vol.34 , pp. 1205-1217
    • Chen, H.1    Allgöwer, F.2
  • 3
    • 0030708335 scopus 로고    scopus 로고
    • A game theoretical approach to nonlinear robust receding horizon control of constrained systems
    • H. Chen, C. W. Scherer, and F. Allgöwer. A game theoretical approach to nonlinear robust receding horizon control of constrained systems. In American Control Conference '97, 1997.
    • (1997) American Control Conference '97
    • Chen, H.1    Scherer, C.W.2    Allgöwer, F.3
  • 4
    • 0035400191 scopus 로고    scopus 로고
    • Systems with persistent disturbances: Predictive control with restricted constraints
    • L. Chisci, J. A. Rossiter, and G. Zappa. Systems with persistent disturbances: Predictive control with restricted constraints. Automatica, 37:1019 1028, 2001.
    • (2001) Automatica , vol.37 , pp. 1019-1028
    • Chisci, L.1    Rossiter, J.A.2    Zappa, G.3
  • 5
    • 0030104955 scopus 로고    scopus 로고
    • On the robustness of receding-horizon control with terminal constraints
    • G. De Nicolao, L. Magni, and R. Scattolini. On the robustness of receding-horizon control with terminal constraints. IEEE Trans. Automatic Control, 41:451-453, 1996.
    • (1996) IEEE Trans. Automatic Control , vol.41 , pp. 451-453
    • De Nicolao, G.1    Magni, L.2    Scattolini, R.3
  • 6
    • 0032121811 scopus 로고    scopus 로고
    • Stabilizing receding-horizon control of nonlinear time-varying systems
    • G. De Nicolao, L. Magni, and R. Scattolini. Stabilizing receding-horizon control of nonlinear time-varying systems. IEEE Trans. on Automatic Control, AC-43:1030-1036, 1998.
    • (1998) IEEE Trans. on Automatic Control , vol.AC-43 , pp. 1030-1036
    • De Nicolao, G.1    Magni, L.2    Scattolini, R.3
  • 7
    • 0034899845 scopus 로고    scopus 로고
    • A general framework to design stabilizing nonlinear model predictive controllers
    • F. A. C. C. Fbntes. A general framework to design stabilizing nonlinear model predictive controllers. Systems & Control Letters, 42:127-143, 2001.
    • (2001) Systems & Control Letters , vol.42 , pp. 127-143
    • Fbntes, F.A.C.C.1
  • 8
    • 0242334017 scopus 로고    scopus 로고
    • Min-max model predictive control of nonlinear systems using discontinuous feedbacks
    • F. A. C. C. Fontes and L. Magni. Min-max model predictive control of nonlinear systems using discontinuous feedbacks. IEEE Trans. on Automatic Control, 48:1750-1755, 2003.
    • (2003) IEEE Trans. on Automatic Control , vol.48 , pp. 1750-1755
    • Fontes, F.A.C.C.1    Magni, L.2
  • 10
    • 0023400321 scopus 로고
    • On the robustness of optimal regulators for nonlinear discrete-time systems
    • J. C. Geromel and J. J. Da Cruz. On the robustness of optimal regulators for nonlinear discrete-time systems. IEEE Trans. on Automatic Control, AC-32:703 710, 1987.
    • (1987) IEEE Trans. on Automatic Control , vol.AC-32 , pp. 703-710
    • Geromel, J.C.1    Da Cruz, J.J.2
  • 11
    • 0026222290 scopus 로고
    • Linear systems with state and control constraints: The theory and application of maximal output admissible sets
    • E. G. Gilbert and K. T. Tan. Linear systems with state and control constraints: the theory and application of maximal output admissible sets. IEEE Transaction on Automatic Control, AC-36:1008-1020, 1991.
    • (1991) IEEE Transaction on Automatic Control , vol.AC-36 , pp. 1008-1020
    • Gilbert, E.G.1    Tan, K.T.2
  • 12
    • 0023382820 scopus 로고
    • Robustness of nonlinear state feedback- a survey
    • S. T. Glad. Robustness of nonlinear state feedback- a survey. Automatica, 23:425-435, 1987.
    • (1987) Automatica , vol.23 , pp. 425-435
    • Glad, S.T.1
  • 13
    • 3843074172 scopus 로고    scopus 로고
    • Examples when nonlinear model predictive control is nonrobust
    • G. Grimm, M. J. Messina, S. E. Tuna, and A. R. Teel. Examples when nonlinear model predictive control is nonrobust. Automatica, 40:1729-1738, 2004.
    • (2004) Automatica , vol.40 , pp. 1729-1738
    • Grimm, G.1    Messina, M.J.2    Tuna, S.E.3    Teel, A.R.4
  • 14
    • 20344396119 scopus 로고    scopus 로고
    • Model predictive control: For want of a local control Lyapunov function, all is not lost
    • G. Grimm, M. J. Messina, S. E. Tuna, and A. R. Teel. Model predictive control: For want of a local control Lyapunov function, all is not lost. IEEE Transactions on Automatic Control, 50:546-558, 2005.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , pp. 546-558
    • Grimm, G.1    Messina, M.J.2    Tuna, S.E.3    Teel, A.R.4
  • 16
    • 5444253893 scopus 로고    scopus 로고
    • Stabilization of sampled-data nonlinear systems by receding horizon contyrol via discrete-time approximations
    • E. Gyurkovics and A. M. Elaiw. Stabilization of sampled-data nonlinear systems by receding horizon contyrol via discrete-time approximations. Automatica, 40:2017-2028, 2004.
    • (2004) Automatica , vol.40 , pp. 2017-2028
    • Gyurkovics, E.1    Elaiw, A.M.2
  • 17
    • 0141956066 scopus 로고    scopus 로고
    • ∞-norm bound of non-linear discrete-time uncertain systems with bounded control
    • ∞-norm bound of non-linear discrete-time uncertain systems with bounded control. Systems & Control Letters, 50:277-289, 2003.
    • (2003) Systems & Control Letters , vol.50 , pp. 277-289
    • Gyurkovics, E.1    Takacs, T.2
  • 18
    • 0036530341 scopus 로고    scopus 로고
    • Toward infinite-horizon optimality in nonlinear model predictive control
    • B. Hu and A. Linnemann. Toward infinite-horizon optimality in nonlinear model predictive control. IEEE Trans. on Automatic Control, 47:679-682, 2002.
    • (2002) IEEE Trans. on Automatic Control , vol.47 , pp. 679-682
    • Hu, B.1    Linnemann, A.2
  • 19
    • 0035332624 scopus 로고    scopus 로고
    • Unconstrained receding-horizon control of nonlinear systems
    • A. Jadbabaie and J. Häuser. Unconstrained receding-horizon control of nonlinear systems. IEEE Trans. on Automatic Control, 5:776-783, 2001.
    • (2001) IEEE Trans. on Automatic Control , vol.5 , pp. 776-783
    • Jadbabaie, A.1    Häuser, J.2
  • 20
    • 20344373666 scopus 로고    scopus 로고
    • On the stability of receding horizon control with a general terminal cost
    • A. Jadbabaie and J. Hauser. On the stability of receding horizon control with a general terminal cost. IEEE Transactions on Automatic Control, 50:674-678, 2005.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , pp. 674-678
    • Jadbabaie, A.1    Hauser, J.2
  • 21
    • 0035370502 scopus 로고    scopus 로고
    • Input-to-state stability for discrete-time nonlinear systems
    • Z.-P. Jiang and Y. Wang. Input-to-state stability for discrete-time nonlinear systems. Automatica, 37:857-869, 2001.
    • (2001) Automatica , vol.37 , pp. 857-869
    • Jiang, Z.-P.1    Wang, Y.2
  • 24
    • 36048997416 scopus 로고    scopus 로고
    • Input-to-state stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties
    • D. Limón, T. Alamo, and E. F. Camacho. Input-to-state stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties. In IEEE CDC, pages 4619-4624, 2002.
    • (2002) IEEE CDC , pp. 4619-4624
    • Limón, D.1    Alamo, T.2    Camacho, E.F.3
  • 26
    • 0142138234 scopus 로고    scopus 로고
    • Stable constrained MPC without terminal constraint
    • D. Limon, T. Alamo, and E. F. Camacho. Stable constrained MPC without terminal constraint. In American Control Conference, pages 4893 - 4898, 2003.
    • (2003) American Control Conference , pp. 4893-4898
    • Limon, D.1    Alamo, T.2    Camacho, E.F.3
  • 27
    • 36048995846 scopus 로고    scopus 로고
    • Robust stability of min-max MPC controllers for nonlinear systems with bounded uncertainties
    • D. Limón, T. Alamo, and E. F. Camacho. Robust stability of min-max MPC controllers for nonlinear systems with bounded uncertainties. In MTNS, 2004.
    • (2004) MTNS
    • Limón, D.1    Alamo, T.2    Camacho, E.F.3
  • 28
    • 0035452329 scopus 로고    scopus 로고
    • A stabilizing model-based predictive control for nonlinear systems
    • L. Magni, G. De Nicolao, L. Magnani, and R. Scattolini. A stabilizing model-based predictive control for nonlinear systems. Automatica, 37:1351-1362, 2001.
    • (2001) Automatica , vol.37 , pp. 1351-1362
    • Magni, L.1    De Nicolao, G.2    Magnani, L.3    Scattolini, R.4
  • 30
    • 0035283921 scopus 로고    scopus 로고
    • ∞ control problem. Automatica, 37:429-435, 2001.
    • ∞ control problem. Automatica,, 37:429-435, 2001.
  • 31
    • 33748987390 scopus 로고    scopus 로고
    • Regional input-to-state stability for nonlinear model predictive control
    • L. Magni, D. M. Raimondo, and R. Scattolini. Regional input-to-state stability for nonlinear model predictive control. IEEE Transactions on Automatic Control, AC51, pp. 1548 1553, 2006.
    • (2006) IEEE Transactions on Automatic Control , vol.AC51 , pp. 1548-1553
    • Magni, L.1    Raimondo, D.M.2    Scattolini, R.3
  • 32
    • 3042686485 scopus 로고    scopus 로고
    • Model predictive control of continuous-time nonlinear systems with piecewise constant control
    • L. Magni and R. Scattolini. Model predictive control of continuous-time nonlinear systems with piecewise constant control. IEEE Trans. on Automatic Control, 49:900-906, 2004.
    • (2004) IEEE Trans. on Automatic Control , vol.49 , pp. 900-906
    • Magni, L.1    Scattolini, R.2
  • 33
    • 18844434120 scopus 로고    scopus 로고
    • Control design for nonlinear systems: Trading roubustness and performance with the model predictive control approach
    • L. Magni and Ft. Scattolini. Control design for nonlinear systems: Trading roubustness and performance with the model predictive control approach. IEE Proceedings - Control Theory & Application, pages 333-339, 2005.
    • (2005) IEE Proceedings - Control Theory & Application , pp. 333-339
    • Magni, L.1    Scattolini, F.2
  • 34
    • 0000936020 scopus 로고    scopus 로고
    • Stability margins of nonlinear receding horizon control via inverse optimality
    • L. Magni and R. Sepulchre. Stability margins of nonlinear receding horizon control via inverse optimality. Systems & Control Letters, 32:241-245, 1997.
    • (1997) Systems & Control Letters , vol.32 , pp. 241-245
    • Magni, L.1    Sepulchre, R.2
  • 35
    • 36048953233 scopus 로고    scopus 로고
    • D. Q. Mayne. Nonlinear model predictive control: Challenges and opportunities. In F. Allgöwer and A. Zheng, editors, Nonlinear Model Predictive Control, pages 23-44. Progress in Systems and Control Theory, Birkhauser Verlag, 2000.
    • D. Q. Mayne. Nonlinear model predictive control: Challenges and opportunities. In F. Allgöwer and A. Zheng, editors, Nonlinear Model Predictive Control, pages 23-44. Progress in Systems and Control Theory, Birkhauser Verlag, 2000.
  • 36
    • 0002075039 scopus 로고    scopus 로고
    • Control of constrained dynamic systems
    • D. Q. Mayne. Control of constrained dynamic systems. European Journal of Control, 7:87-99, 2001.
    • (2001) European Journal of Control , vol.7 , pp. 87-99
    • Mayne, D.Q.1
  • 37
    • 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, 36:789-814, 2000.
    • (2000) Automatica , vol.36 , pp. 789-814
    • Mayne, D.Q.1    Rawlings, J.B.2    Rao, C.V.3    Scokaert, P.O.M.4
  • 38
    • 0029403279 scopus 로고
    • Receding horizon control and discontinuous state feedback stabilization
    • E. S. Meadows, M. A. Henson, J. W. Eaton, and J. B. Rawlings. Receding horizon control and discontinuous state feedback stabilization. Int. J. Control, 62:1217-1229, 1995.
    • (1995) Int. J. Control , vol.62 , pp. 1217-1229
    • Meadows, E.S.1    Henson, M.A.2    Eaton, J.W.3    Rawlings, J.B.4
  • 39
    • 0027701879 scopus 로고
    • Robust receding horizon control of constrained nonlinear systems
    • H. Michalska and D. Q. Mayne. Robust receding horizon control of constrained nonlinear systems. IEEE Trans. on Automatic Control, 38:1623-1633, 1993.
    • (1993) IEEE Trans. on Automatic Control , vol.38 , pp. 1623-1633
    • Michalska, H.1    Mayne, D.Q.2
  • 40
    • 0029394379 scopus 로고
    • A receding-horizon regulator for nonlinear systems and a neural approximation
    • T. Parisini and R. Zoppoli. A receding-horizon regulator for nonlinear systems and a neural approximation. Automatica, 31:1443-1451, 1995.
    • (1995) Automatica , vol.31 , pp. 1443-1451
    • Parisini, T.1    Zoppoli, R.2
  • 41
    • 0032137461 scopus 로고    scopus 로고
    • Min-max feedback model predictive control for constrained linear systems
    • P. O. M. Scokaert and D. Q. Mayne. Min-max feedback model predictive control for constrained linear systems. IEEE Trans. on Automatic Control, 43:1136 1142, 1998.
    • (1998) IEEE Trans. on Automatic Control , vol.43 , pp. 1136-1142
    • Scokaert, P.O.M.1    Mayne, D.Q.2
  • 42
    • 0031084464 scopus 로고    scopus 로고
    • Discrete-time stability with perturbations: Application to model predictive control
    • P. O. M. Scokaert, J. B. Rawlings, and E. S. Meadows. Discrete-time stability with perturbations: Application to model predictive control. Automatica, 33:463-470, 1997.
    • (1997) Automatica , vol.33 , pp. 463-470
    • Scokaert, P.O.M.1    Rawlings, J.B.2    Meadows, E.S.3
  • 44
    • 0026854064 scopus 로고
    • Receding horizon revisited: An easy way to robustly stabilize an LTV system
    • G. Tadmor. Receding horizon revisited: An easy way to robustly stabilize an LTV system. Systems & Control Letters, 18:285-294, 1992.
    • (1992) Systems & Control Letters , vol.18 , pp. 285-294
    • Tadmor, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.