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Volumn 55, Issue 8, 2006, Pages 650-659

Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control

Author keywords

Bounded Lyapunov based control; Feasibility region; Input constraints; Model predictive control; Soft constraints; Stability region; State constraints

Indexed keywords

CONSTRAINT THEORY; CONTROL SYSTEMS; LYAPUNOV METHODS; OPTIMIZATION; STABILIZATION;

EID: 31544437501     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2005.09.014     Document Type: Article
Times cited : (306)

References (32)
  • 1
    • 0001182334 scopus 로고    scopus 로고
    • Nonlinear model predictive control schemes with guaranteed stability
    • Berber R., and Kravaris C. (Eds), Kluwer Academic Publishers, Dordrecht, The Netherlands
    • Allgower F., and Chen H. Nonlinear model predictive control schemes with guaranteed stability. In: Berber R., and Kravaris C. (Eds). NATO ASI on Nonlinear Model Based Process Control (1998), Kluwer Academic Publishers, Dordrecht, The Netherlands 465-494
    • (1998) NATO ASI on Nonlinear Model Based Process Control , pp. 465-494
    • Allgower, F.1    Chen, H.2
  • 2
    • 0020848962 scopus 로고
    • Stabilization with relaxed controls
    • Artstein Z. Stabilization with relaxed controls. Nonlinear Anal. 7 (1983) 1163-1173
    • (1983) Nonlinear Anal. , vol.7 , pp. 1163-1173
    • Artstein, Z.1
  • 3
    • 33744831568 scopus 로고    scopus 로고
    • A. Bemporad, M. Morari, Robust model predictive control: a survey, in: A. Garulli, A. Tesi, A. Vicino (Eds.), Robustness in Identification and Control, Lecture Notes in Control and Information Sciences, vol. 245, Springer, Berlin, 1999, pp. 207-266.
  • 4
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    • Branicky M.S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Automat. Control 43 (1998) 475-482
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 475-482
    • Branicky, M.S.1
  • 6
    • 0028466462 scopus 로고
    • Constraint handling and stability properties of model-predictive control
    • de Oliveira N.M.C., and Biegler L.T. Constraint handling and stability properties of model-predictive control. A.I.Ch.E. J. 40 (1994) 1138-1150
    • (1994) A.I.Ch.E. J. , vol.40 , pp. 1138-1150
    • de Oliveira, N.M.C.1    Biegler, L.T.2
  • 7
    • 0035799273 scopus 로고    scopus 로고
    • Integrating robustness, optimality, and constraints in control of nonlinear processes
    • El-Farra N.H., and Christofides P.D. Integrating robustness, optimality, and constraints in control of nonlinear processes. Chem. Eng. Sci. 56 (2001) 1841-1868
    • (2001) Chem. Eng. Sci. , vol.56 , pp. 1841-1868
    • El-Farra, N.H.1    Christofides, P.D.2
  • 8
    • 0038263889 scopus 로고    scopus 로고
    • Bounded robust control of constrained multivariabe nonlinear processes
    • El-Farra N.H., and Christofides P.D. Bounded robust control of constrained multivariabe nonlinear processes. Chem. Eng. Sci. 58 (2003) 3025-3047
    • (2003) Chem. Eng. Sci. , vol.58 , pp. 3025-3047
    • El-Farra, N.H.1    Christofides, P.D.2
  • 9
    • 0346055197 scopus 로고    scopus 로고
    • Hybrid predictive control of nonlinear systems: method and applications to chemical processes
    • El-Farra N.H., Mhaskar P., and Christofides P.D. Hybrid predictive control of nonlinear systems: method and applications to chemical processes. Internat. J. Rob. Nonlinear Control 4 (2004) 199-225
    • (2004) Internat. J. Rob. Nonlinear Control , vol.4 , pp. 199-225
    • El-Farra, N.H.1    Mhaskar, P.2    Christofides, P.D.3
  • 10
    • 0242692431 scopus 로고    scopus 로고
    • Uniting bounded control and MPC for stabilization of constrained linear systems
    • El-Farra N.H., Mhaskar P., and Christofides P.D. Uniting bounded control and MPC for stabilization of constrained linear systems. Automatica 40 (2004) 101-110
    • (2004) Automatica , vol.40 , pp. 101-110
    • El-Farra, N.H.1    Mhaskar, P.2    Christofides, P.D.3
  • 11
    • 26844560145 scopus 로고    scopus 로고
    • Output feedback control of switched nonlinear systems using multiple Lyapunov functions
    • El-Farra N.H., Mhaskar P., and Christofides P.D. Output feedback control of switched nonlinear systems using multiple Lyapunov functions. Systems Control Lett. 54 (2005) 1163-1182
    • (2005) Systems Control Lett. , vol.54 , pp. 1163-1182
    • El-Farra, N.H.1    Mhaskar, P.2    Christofides, P.D.3
  • 12
    • 84916266537 scopus 로고
    • Quadratic-programming solution of dynamic matrix control (QDMC)
    • Garcia C.E., and Morshedi A.M. Quadratic-programming solution of dynamic matrix control (QDMC). Chem. Eng. Commun. 46 (1986) 73-87
    • (1986) Chem. Eng. Commun. , vol.46 , pp. 73-87
    • Garcia, C.E.1    Morshedi, A.M.2
  • 13
  • 16
    • 0034918631 scopus 로고    scopus 로고
    • A functional equations approach to nonlinear discrete-time feedback stabilization through pole-placement
    • Kazantzis N. A functional equations approach to nonlinear discrete-time feedback stabilization through pole-placement. Systems Control Lett. 43 (2001) 361-369
    • (2001) Systems Control Lett. , vol.43 , pp. 361-369
    • Kazantzis, N.1
  • 17
    • 0035341653 scopus 로고    scopus 로고
    • Constructive nonlinear control: a historical perspective
    • Kokotovic P., and Arcak M. Constructive nonlinear control: a historical perspective. Automatica 37 (2001) 637-662
    • (2001) Automatica , vol.37 , pp. 637-662
    • Kokotovic, P.1    Arcak, M.2
  • 18
    • 0034196113 scopus 로고    scopus 로고
    • Contractive model predictive control for constrained nonlinear systems
    • Kothare S.L.D., and Morari M. Contractive model predictive control for constrained nonlinear systems. IEEE Trans. Automat. Control 45 (2000) 1053-1071
    • (2000) IEEE Trans. Automat. Control , vol.45 , pp. 1053-1071
    • Kothare, S.L.D.1    Morari, M.2
  • 19
    • 0026170903 scopus 로고
    • A universal formula for stabilization with bounded controls
    • Lin Y., and Sontag E.D. A universal formula for stabilization with bounded controls. Systems Control Lett. 16 (1991) 393-397
    • (1991) Systems Control Lett. , vol.16 , pp. 393-397
    • Lin, Y.1    Sontag, E.D.2
  • 20
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control: Stability and optimality
    • Mayne D.Q., Rawlings J.B., Rao C.V., and Scokaert P.O.M. Constrained model predictive control: Stability and optimality. Automatica 36 (2000) 789-814
    • (2000) Automatica , vol.36 , pp. 789-814
    • Mayne, D.Q.1    Rawlings, J.B.2    Rao, C.V.3    Scokaert, P.O.M.4
  • 22
    • 23944433812 scopus 로고    scopus 로고
    • Predictive control of switched nonlinear systems with scheduled mode transitions
    • Mhaskar P., El-Farra N.H., and Christofides P.D. Predictive control of switched nonlinear systems with scheduled mode transitions. IEEE Trans. Automat. Contr. 50 (2005) 1670-1680
    • (2005) IEEE Trans. Automat. Contr. , vol.50 , pp. 1670-1680
    • Mhaskar, P.1    El-Farra, N.H.2    Christofides, P.D.3
  • 23
    • 21144439727 scopus 로고    scopus 로고
    • Robust hybrid predictive control of nonlinear systems
    • Mhaskar P., El-Farra N.H., and Christofides P.D. Robust hybrid predictive control of nonlinear systems. Automatica 41 (2005) 209-217
    • (2005) Automatica , vol.41 , pp. 209-217
    • Mhaskar, P.1    El-Farra, N.H.2    Christofides, P.D.3
  • 24
    • 0000676927 scopus 로고    scopus 로고
    • Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations
    • Nesic D., Teel A.R., and Kokotovic P.V. Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations. Systems Control Lett. 38 (1999) 259-270
    • (1999) Systems Control Lett. , vol.38 , pp. 259-270
    • Nesic, D.1    Teel, A.R.2    Kokotovic, P.V.3
  • 25
    • 0034188035 scopus 로고    scopus 로고
    • A receding horizon generalization of pointwise min-norm controllers
    • Primbs J.A., Nevistic V., and Doyle J.C. A receding horizon generalization of pointwise min-norm controllers. IEEE Trans. Automat. Contr. 45 (2000) 898-909
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 898-909
    • Primbs, J.A.1    Nevistic, V.2    Doyle, J.C.3
  • 26
    • 0027684083 scopus 로고
    • The stability of constrained receding horizon control
    • Rawlings J.B., and Muske K.R. The stability of constrained receding horizon control. IEEE Trans. Automat. Control 38 (1993) 1512-1516
    • (1993) IEEE Trans. Automat. Control , vol.38 , pp. 1512-1516
    • Rawlings, J.B.1    Muske, K.R.2
  • 28
    • 0032791875 scopus 로고    scopus 로고
    • Feasibility issues in linear model predictive control
    • Scokaert P.O.M., and Rawlings J.B. Feasibility issues in linear model predictive control. A.I.Ch.E. J. 45 (1999) 1259-1649
    • (1999) A.I.Ch.E. J. , vol.45 , pp. 1259-1649
    • Scokaert, P.O.M.1    Rawlings, J.B.2
  • 31
    • 0026242702 scopus 로고
    • Stability of SISO quadratic dynamic matrix control with hard output constraints
    • Zafiriou E., and Marchal A.L. Stability of SISO quadratic dynamic matrix control with hard output constraints. A.I.Ch.E. J. 37 (1991) 1550-1560
    • (1991) A.I.Ch.E. J. , vol.37 , pp. 1550-1560
    • Zafiriou, E.1    Marchal, A.L.2
  • 32
    • 0029392294 scopus 로고
    • Stability of model predictive control with mixed constraints
    • Zheng A., and Morari M. Stability of model predictive control with mixed constraints. IEEE Trans. Automat. Control 40 (1995) 1818-1823
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 1818-1823
    • Zheng, A.1    Morari, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.