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Volumn 50, Issue 5, 2005, Pages 650-655

Stabilizing a linear system with saturation through optimal control

(1)  Goebel, Rafal a  

a NONE   (United States)

Author keywords

Convex Lyapunov function; Feedback stabilization; Linear system; Optimal control; Saturating actuator

Indexed keywords

ACTUATORS; CLOSED LOOP CONTROL SYSTEMS; FEEDBACK; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; SYSTEM STABILITY; THEOREM PROVING;

EID: 20344388545     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.846522     Document Type: Article
Times cited : (21)

References (21)
  • 1
    • 0018038082 scopus 로고
    • "Convex control problems and Hamiltonian systems on infinite intervals"
    • V. Barbu, "Convex control problems and Hamiltonian systems on infinite intervals," SIAM J. Control Optim., vol. 16, no. 6. pp. 895-911. 1978.
    • (1978) SIAM J. Control Optim. , vol.16 , Issue.6 , pp. 895-911
    • Barbu, V.1
  • 2
    • 0001215411 scopus 로고
    • "On the differentiability of the value function in dynamic models of economics"
    • L. M. Benveniste anal J. A. Scheinkman, "On the differentiability of the value function in dynamic models of economics," Econometrica, vol. 47, pp. 727-732, 1979.
    • (1979) Econometrica , vol.47 , pp. 727-732
    • Benveniste, L.M.1    Scheinkman, J.A.2
  • 6
    • 0031257967 scopus 로고    scopus 로고
    • "Asymptotic controllability implies feedback stabilization"
    • Oct
    • F. H. Clarke, Y. S. Ledyaev, E. D. Sontag, and A. I. Subbotin, "Asymptotic controllability implies feedback stabilization," IEEE Trans Autom. Control, vol. 42, no. 10, pp. 1394-1407, Oct. 1997.
    • (1997) IEEE Trans Autom. Control , vol.42 , Issue.10 , pp. 1394-1407
    • Clarke, F.H.1    Ledyaev, Y.S.2    Sontag, E.D.3    Subbotin, A.I.4
  • 7
    • 20344401231 scopus 로고    scopus 로고
    • "Convex optimal control problems with smooth Hamiltonians"
    • to be published
    • R. Goebel, "Convex optimal control problems with smooth Hamiltonians," SIAM J. Control Optim., to be published.
    • SIAM J. Control Optim.
    • Goebel, R.1
  • 8
    • 20144376235 scopus 로고    scopus 로고
    • "Duality and uniqueness of convex solutions to stationary Hamilton-Jacobi equations"
    • R. Goebel, "Duality and uniqueness of convex solutions to stationary Hamilton-Jacobi equations," Trans. Amer. Math. Soc., vol. 357, pp. 2187-2203, 2005.
    • (2005) Trans. Amer. Math. Soc. , vol.357 , pp. 2187-2203
    • Goebel, R.1
  • 9
    • 0036996926 scopus 로고    scopus 로고
    • "Hamiltonian dynamical systems for convex problems of optimal control: Implications for the value function"
    • Las Vegas, NV
    • R. Goebel, "Hamiltonian dynamical systems for convex problems of optimal control: implications for the value function," in Proc. 41st IEEE Conf. Decision and Control, Las Vegas, NV, 2002, pp. 728-732.
    • (2002) Proc. 41st IEEE Conf. Decision and Control , pp. 728-732
    • Goebel, R.1
  • 10
    • 14544280051 scopus 로고    scopus 로고
    • "Stationary Hamilton-Jacobi equations for convex control problems - Uniqueness and duality of solutions"
    • ser. Lecture Notes in Control and Information Sciences. Heidelberg, Germany: Springer-Verlag
    • R. Goebel, "Stationary Hamilton-Jacobi equations for convex control problems - uniqueness and duality of solutions," in Optimal Control, Stabilization, and Nonsmooth Analysis, ser. Lecture Notes in Control and Information Sciences. Heidelberg, Germany: Springer-Verlag, 2004.
    • (2004) Optimal Control, Stabilization, and Nonsmooth Analysis
    • Goebel, R.1
  • 11
    • 23944458156 scopus 로고    scopus 로고
    • "Continuous time constrained linear quadratic regulator - Convex duality approach"
    • to be published
    • R. Goebel and M. Subbotin, "Continuous time constrained linear quadratic regulator - convex duality approach," in Proc. 24th Amer. Control Conf., 2005, to be published.
    • (2005) Proc. 24th Amer. Control Conf.
    • Goebel, R.1    Subbotin, M.2
  • 12
    • 0033412476 scopus 로고    scopus 로고
    • "On Lipschitz continuity of policy functions in continuous-time optimal growth models"
    • M. L. Gota and L. Montrucchio, "On Lipschitz continuity of policy functions in continuous-time optimal growth models," Econom. Theory, vol. 14, pp. 479-488. 1999.
    • (1999) Econom. Theory , vol.14 , pp. 479-488
    • Gota, M.L.1    Montrucchio, L.2
  • 14
    • 0004267646 scopus 로고
    • Princeton. NJ: Pcinceton Univ. Press
    • R. T. Rockafellar, Convex Analysis. Princeton. NJ: Pcinceton Univ. Press, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 15
    • 0043072168 scopus 로고
    • "Saddle points of Hamiltonian systems in convex problems of Lagrange"
    • R. T. Rockafellar, "Saddle points of Hamiltonian systems in convex problems of Lagrange," J. Optim. Theory Appl., vol. 12, no. 4, 1973.
    • (1973) J. Optim. Theory Appl. , vol.12 , Issue.4
    • Rockafellar, R.T.1
  • 18
    • 0030104564 scopus 로고    scopus 로고
    • "Control of linear systems with saturating actuators"
    • Mar
    • A. Saberi, Z. Lin, and A. R. Teel, "Control of linear systems with saturating actuators," IEEE Trans. Autom. Control, vol. 41. no. 3, pp. 368-378, Mar. 1996.
    • (1996) IEEE Trans. Autom. Control , vol.41 , Issue.3 , pp. 368-378
    • Saberi, A.1    Lin, Z.2    Teel, A.R.3
  • 19
    • 0025533872 scopus 로고
    • "Nonlinear output feedback design for linear systems with saturating controls"
    • Honolulu, HI
    • E. D. Sontag and H. J. Sussman, "Nonlinear output feedback design for linear systems with saturating controls," in Proc. 29 IEEE Conf. Decision Control, Honolulu, HI, 1990, pp. 3414-3416.
    • (1990) Proc. 29 IEEE Conf. Decision Control , pp. 3414-3416
    • Sontag, E.D.1    Sussman, H.J.2
  • 20
    • 0028712602 scopus 로고
    • "A general result on the stabilization of linear systems using bounded controls"
    • Dec
    • E. D. Sontag, H. J. Sussmann, and Y. D. Yang, "A general result on the stabilization of linear systems using bounded controls," IEEE Trans. Autom. Control, vol. 39, no. 12, pp. 2411-2424, Dec. 1994.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.12 , pp. 2411-2424
    • Sontag, E.D.1    Sussmann, H.J.2    Yang, Y.D.3
  • 21
    • 3142713112 scopus 로고    scopus 로고
    • "Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints"
    • A. A. Stoorvogel, A. Saberi, and G. Shi, "Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints,"Autmomatica, vol. 40, no. 9, pp. 1481-1494, 2004.
    • (2004) Autmomatica , vol.40 , Issue.9 , pp. 1481-1494
    • Stoorvogel, A.A.1    Saberi, A.2    Shi, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.