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Volumn 38, Issue 3, 2000, Pages 971-994

Any domain of attraction for a linear constrained system is a tracking domain of attraction

Author keywords

Constrained control; Convex analysis; Domain of attraction; Lyapunov functions; Tracking

Indexed keywords


EID: 0001418682     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S036301299834661X     Document Type: Article
Times cited : (63)

References (28)
  • 2
    • 0031101558 scopus 로고    scopus 로고
    • Nonlinear control of constrained linear systems with predictive reference management
    • A. BEMPORAD, A. CASAVOLA, AND E. MOSCA, Nonlinear control of constrained linear systems with predictive reference management, IEEE Trans. Automat. Control, 42 (1997), pp. 340-349.
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 340-349
    • Bemporad, A.1    Casavola, A.2    Mosca, E.3
  • 3
    • 0024014474 scopus 로고
    • The regulator problem for a class of linear systems with constrained control
    • A. BENZAOUIA AND C. BURGAT, The regulator problem for a class of linear systems with constrained control, Systems Control Lett., 10 (1988), pp. 357-363.
    • (1988) Systems Control Lett. , vol.10 , pp. 357-363
    • Benzaouia, A.1    Burgat, C.2
  • 4
    • 0028370204 scopus 로고
    • Ultimate boundedness control for discrete-time uncertain system via set-induced Lyapunov functions
    • F. BLANCHINI, Ultimate boundedness control for discrete-time uncertain system via set-induced Lyapunov functions, IEEE Trans. Automat. Control, 39 (1994), pp. 428-433.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 428-433
    • Blanchini, F.1
  • 5
    • 0029266878 scopus 로고
    • Non-quadratic Lyapunov functions for robust control
    • F. BLANCHINI, Non-quadratic Lyapunov functions for robust control, Automatica, 31 (1995), pp. 451-461.
    • (1995) Automatica , vol.31 , pp. 451-461
    • Blanchini, F.1
  • 6
    • 0033221515 scopus 로고    scopus 로고
    • Set invariance in control - A survey
    • F. BLANCHINI, Set invariance in control - a survey, Automatica, 35 (1999), pp. 1747-1767.
    • (1999) Automatica , vol.35 , pp. 1747-1767
    • Blanchini, F.1
  • 7
    • 0002295160 scopus 로고    scopus 로고
    • Constrained stabilization for continuous-time systems
    • F. BLANCHINI AND S. MIANI, Constrained stabilization for continuous-time systems, Systems Control Lett., 28 (1996), pp. 95-102.
    • (1996) Systems Control Lett. , vol.28 , pp. 95-102
    • Blanchini, F.1    Miani, S.2
  • 8
    • 85037496229 scopus 로고    scopus 로고
    • Set based constant reference tracking for continuous-time constrained systems
    • A.A. Martynyuk, ed., Stability Control Theory Methods Appl. 13, Gordon and Breach, London, UK
    • F. BLANCHINI AND S. MIANI, Set based constant reference tracking for continuous-time constrained systems, in Advances of Stability Theory at the End of the XXth Century, A.A. Martynyuk, ed., Stability Control Theory Methods Appl. 13, Gordon and Breach, London, UK, 2000, pp. 267-278.
    • (2000) Advances of Stability Theory at the End of the XXth Century , pp. 267-278
    • Blanchini, F.1    Miani, S.2
  • 9
    • 0001160957 scopus 로고    scopus 로고
    • Constrained stabilization via smooth Lyapunov functions
    • F. BLANCHINI AND S. MIANI, Constrained stabilization via smooth Lyapunov functions, Systems Control Lett., 35 (1998), pp. 155-163.
    • (1998) Systems Control Lett. , vol.35 , pp. 155-163
    • Blanchini, F.1    Miani, S.2
  • 11
    • 0028370463 scopus 로고
    • Positively invariant sets for constrained continuous-time systems with cone properties
    • C. BURGAT AND S. TARBOURIECH, Positively invariant sets for constrained continuous-time systems with cone properties, IEEE Trans. Automat. Control, 39 (1994), pp. 401-405.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 401-405
    • Burgat, C.1    Tarbouriech, S.2
  • 12
    • 0026866421 scopus 로고
    • Eigenstructure assignment for state constrained linear continuous time systems
    • E. B. CASTELAN AND J. C. KENNET, Eigenstructure assignment for state constrained linear continuous time systems, Automatica, 28 (1992), pp. 605-611.
    • (1992) Automatica , vol.28 , pp. 605-611
    • Castelan, E.B.1    Kennet, J.C.2
  • 14
    • 0026222290 scopus 로고
    • Linear systems with state and control constraints: The theory and the applications of the maximal output admissible sets
    • E. G. GILBERT AND K. T. TAN, Linear systems with state and control constraints: The theory and the applications of the maximal output admissible sets, IEEE Trans. Automat. Control, 36 (1991), pp. 1008-1020.
    • (1991) IEEE Trans. Automat. Control , vol.36 , pp. 1008-1020
    • Gilbert, E.G.1    Tan, K.T.2
  • 15
    • 0029352392 scopus 로고
    • Discrete-time reference governors and the nonlinear control of systems with state and control constraints
    • E. G. GILBERT, I. KOLMANOWSKY, AND K. T. TAN, Discrete-time reference governors and the nonlinear control of systems with state and control constraints, Internat. J. Robust Nonlinear Control, 5 (1995), pp. 487-504.
    • (1995) Internat. J. Robust Nonlinear Control , vol.5 , pp. 487-504
    • Gilbert, E.G.1    Kolmanowsky, I.2    Tan, K.T.3
  • 16
    • 0026954748 scopus 로고
    • On the computation of reference signal constraints for guaranteed tracking performance
    • T. J. GRAETTINGER AND B. H. KROCH, On the computation of reference signal constraints for guaranteed tracking performance, Automatica, 28 (1992), pp. 1125-1141.
    • (1992) Automatica , vol.28 , pp. 1125-1141
    • Graettinger, T.J.1    Kroch, B.H.2
  • 17
    • 0022706308 scopus 로고
    • Admissible sets and feedback control for discrete-time linear systems with bounded control and states
    • P. O. GUTMAN AND M. CWIKEL, Admissible sets and feedback control for discrete-time linear systems with bounded control and states, IEEE Trans. Automat. Control, 31 (1986), pp. 373-376.
    • (1986) IEEE Trans. Automat. Control , vol.31 , pp. 373-376
    • Gutman, P.O.1    Cwikel, M.2
  • 18
    • 0021819211 scopus 로고
    • A new design of constrained controllers for linear systems
    • P. O. GUTMAN AND P. HAGANDER, A new design of constrained controllers for linear systems, IEEE Trans. Automat. Control, 30 (1985), pp. 22-33.
    • (1985) IEEE Trans. Automat. Control , vol.30 , pp. 22-33
    • Gutman, P.O.1    Hagander, P.2
  • 19
    • 0023349531 scopus 로고
    • Computation of minimum-time feedback control laws for discrete-time systems with state and control constraints
    • S. S. KEERTHY AND E. G. GILBERT, Computation of minimum-time feedback control laws for discrete-time systems with state and control constraints, IEEE Trans. Automat. Control, 32 (1987), pp. 432-435.
    • (1987) IEEE Trans. Automat. Control , vol.32 , pp. 432-435
    • Keerthy, S.S.1    Gilbert, E.G.2
  • 20
    • 0027559151 scopus 로고
    • Reachable, controllable sets and stabilizing control of constrained systems
    • J. B. LASSERRE, Reachable, controllable sets and stabilizing control of constrained systems, Automatica, 29 (1993), pp. 531-536.
    • (1993) Automatica , vol.29 , pp. 531-536
    • Lasserre, J.B.1
  • 21
    • 0029777189 scopus 로고    scopus 로고
    • Output regulation for linear systems subject to input saturation
    • Z. LIN, A. A. STOORVOGEL, AND A. SABERI, Output regulation for linear systems subject to input saturation, Automatica, 32 (1996), pp. 29-47.
    • (1996) Automatica , vol.32 , pp. 29-47
    • Lin, Z.1    Stoorvogel, A.A.2    Saberi, A.3
  • 23
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1972.
    • (1972) Convex Analysis
    • Rockafellar, R.T.1
  • 24
    • 0030104564 scopus 로고    scopus 로고
    • Control of linear systems with saturating actuators
    • A. SABERI, Z. LIN, AND A. R. TEEL, Control of linear systems with saturating actuators, IEEE Trans. Automat. Control, 41 (1996), pp. 368-378.
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 368-378
    • Saberi, A.1    Lin, Z.2    Teel, A.R.3
  • 25
    • 0028712602 scopus 로고
    • A general result on the stabilization of linear systems using bounded controls
    • H. J. SUSSMANN, E. D. SONTAG, AND Y. D. YANG, A general result on the stabilization of linear systems using bounded controls, IEEE Trans. Automat. Control, 39 (1994), pp. 2411-2425.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 2411-2425
    • Sussmann, H.J.1    Sontag, E.D.2    Yang, Y.D.3
  • 26
    • 0025421247 scopus 로고
    • Heuristically enhanced feedback control of constrained discrete-time systems
    • M. SZNAIER AND M. J. DAMBORG, Heuristically enhanced feedback control of constrained discrete-time systems, Automatica, 26 (1990), pp. 521-532.
    • (1990) Automatica , vol.26 , pp. 521-532
    • Sznaier, M.1    Damborg, M.J.2
  • 27
    • 0026840020 scopus 로고
    • Global stabilization and restricted tracking for multiple integrators with bounded controls
    • A. R. TEEL, Global stabilization and restricted tracking for multiple integrators with bounded controls, Systems Control Lett., 18 (1992), pp. 165-171.
    • (1992) Systems Control Lett. , vol.18 , pp. 165-171
    • Teel, A.R.1
  • 28
    • 0024733908 scopus 로고
    • Constrained regulation of linear continuous-time dynamical systems
    • M. VASSILAKI AND G. BITSORIS, Constrained regulation of linear continuous-time dynamical systems, Systems Control Lett., 47 (1989), pp. 247-252.
    • (1989) Systems Control Lett. , vol.47 , pp. 247-252
    • Vassilaki, M.1    Bitsoris, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.