메뉴 건너뛰기




Volumn 51, Issue 5, 2006, Pages 726-741

Optimal control of continuous-time switched affine systems

Author keywords

Dynamic programming; Hybrid systems; Optimal control; Switched systems

Indexed keywords

DYNAMIC PROGRAMMING; MATHEMATICAL MODELS; STATE SPACE METHODS; SWITCHING SYSTEMS;

EID: 33646914360     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.875053     Document Type: Article
Times cited : (168)

References (38)
  • 1
    • 0034547031 scopus 로고    scopus 로고
    • "Piecewise linear optimal controllers for hybrid systems"
    • Chicago, IL, Jun
    • A. Bemporad, F. Borrelli, and M. Morari, "Piecewise linear optimal controllers for hybrid systems," in Proc. American Contr. Conf., Chicago, IL, Jun. 2000, pp. 1190-1194.
    • (2000) Proc. American Contr. Conf. , pp. 1190-1194
    • Bemporad, A.1    Borrelli, F.2    Morari, M.3
  • 2
    • 45449092068 scopus 로고    scopus 로고
    • "On the optimal control law for linear discrete time hybrid systems"
    • M. Greenstreet and C. Tomlin, Eds: Springer-Verlag, Lecture Notes in Computer Science
    • A. Bemporad, F. Borrelli, and M. Morari, "On the optimal control law for linear discrete time hybrid systems," in Hybrid Systems: Computation and Control, M. Greenstreet and C. Tomlin, Eds: Springer-Verlag, 2000, vol. 2289, Lecture Notes in Computer Science, pp. 105-119.
    • (2000) Hybrid Systems: Computation and Control , vol.2289 , pp. 105-119
    • Bemporad, A.1    Borrelli, F.2    Morari, M.3
  • 3
    • 0003907285 scopus 로고    scopus 로고
    • "Performance Driven Reachability Analysis for Optimal Scheduling and Control of Hybrid Systems"
    • Automatic Control Laboratory ETH Zurich, Switzerland, Technical Report AUT00-15
    • A. Bemporad, L. Giovanardi, and F. D. Torrisi, "Performance Driven Reachability Analysis for Optimal Scheduling and Control of Hybrid Systems," Automatic Control Laboratory, ETH Zurich, Switzerland, Technical Report AUT00-15, 2000.
    • (2000)
    • Bemporad, A.1    Giovanardi, L.2    Torrisi, F.D.3
  • 4
    • 0036990465 scopus 로고    scopus 로고
    • "A master-slave algorithm for the optimal control of continuous-time switched affine systems"
    • Las Vegas, Nevada, Dec
    • A. Bemporad, A. Giua, and C. Seatzu, "A master-slave algorithm for the optimal control of continuous-time switched affine systems,"n Proc. 41th IEEE Conf. on Decision and Control, Las Vegas, Nevada, Dec. 2002, pp. 1976-1981.
    • (2002) Proc. 41th IEEE Conf. on Decision and Control , pp. 1976-1981
    • Bemporad, A.1    Giua, A.2    Seatzu, C.3
  • 5
    • 0036989779 scopus 로고    scopus 로고
    • "Synthesis of state-feedback optimal controllers for switched linear system"
    • Las Vegas, Nevada, Dec
    • A. Bemporad, A. Giua, and C. Seatzu, "Synthesis of state-feedback optimal controllers for switched linear system," in Proc. 41th IEEE Conf. on Decision and Control, Las Vegas, Nevada, Dec. 2002, pp. 3182-3187.
    • (2002) Proc. 41th IEEE Conf. on Decision and Control , pp. 3182-3187
    • Bemporad, A.1    Giua, A.2    Seatzu, C.3
  • 6
    • 0033097938 scopus 로고    scopus 로고
    • "Control of systems integrating logic, dynamics, and constraints"
    • Mar
    • A. Bemporad and M. Morari, "Control of systems integrating logic, dynamics, and constraints,"Automatica, vol. 35, no. 3, pp. 407-427, Mar. 1999.
    • (1999) Automatica , vol.35 , Issue.3 , pp. 407-427
    • Bemporad, A.1    Morari, M.2
  • 7
    • 1542355582 scopus 로고    scopus 로고
    • "Conditions for the existence of a solution to a two-switched/hybrid optimal control problem"
    • Saint Malo, France, Jun
    • S. C. Bengea and R. A. DeCarlo, "Conditions for the existence of a solution to a two-switched/hybrid optimal control problem," in IFAC Conf. on Analysis and Design of Hybrid Systems, Saint Malo, France, Jun. 2003, pp. 419-424.
    • (2003) IFAC Conf. on Analysis and Design of Hybrid Systems , pp. 419-424
    • Bengea, S.C.1    DeCarlo, R.A.2
  • 8
    • 23744455644 scopus 로고    scopus 로고
    • "Dynamic programming for constrained optimal control of discrete-time linear hybrid systems"
    • Oct
    • F. Borrelli, M. Baotic, A. Bemporad, and M. Morari,"Dynamic programming for constrained optimal control of discrete-time linear hybrid systems," Automatica, vol. 41, no. 10, pp. 1709-1721, Oct. 2005.
    • (2005) Automatica , vol.41 , Issue.10 , pp. 1709-1721
    • Borrelli, F.1    Baotic, M.2    Bemporad, A.3    Morari, M.4
  • 9
    • 0031701911 scopus 로고    scopus 로고
    • "A unified framework for hybrid control: Model and optimal control theory"
    • M. S. Branicky, V. S. Borkar, and S. K. Mitter, "A unified framework for hybrid control: Model and optimal control theory," IEEE Trans. Automatic Control, vol. 43, no. 1, pp. 31-45, 1998.
    • (1998) IEEE Trans. Automatic Control , vol.43 , Issue.1 , pp. 31-45
    • Branicky, M.S.1    Borkar, V.S.2    Mitter, S.K.3
  • 12
    • 33646913929 scopus 로고    scopus 로고
    • Dash Associates. [Online]. Available
    • (2003) XPRESS-MP User Guide. Dash Associates. [Online]. Available: http://www.dashopt.com
    • (2003) XPRESS-MP User Guide
  • 13
    • 33646910241 scopus 로고    scopus 로고
    • "Perspectives and results on the stability and stabilizability of hybrid systems"
    • R. DeCarlo, M. S. Branicky, S. Pettersson, and B. Lennartson, "Perspectives and results on the stability and stabilizability of hybrid systems," Proceedings of the IEEE, vol. 88, pp. 1069-1082, 2000.
    • (2000) Proceedings of the IEEE , vol.88 , pp. 1069-1082
    • DeCarlo, R.1    Branicky, M.S.2    Pettersson, S.3    Lennartson, B.4
  • 14
    • 0001354261 scopus 로고    scopus 로고
    • "Special issue on hybrid systems: Theory and applications"
    • Jul
    • "Special issue on hybrid systems: Theory and applications," Proceedings of the IEEE, vol. 88, Jul. 2000.
    • (2000) Proceedings of the IEEE , vol.88
  • 15
    • 1542288905 scopus 로고    scopus 로고
    • "Optimal control of switching times in swithced dynamical systems"
    • Maui, Hawaii, USA, Dec
    • M. Egerstedt, Y. Wardi, and F. Delmotte, "Optimal control of switching times in swithced dynamical systems," in Proc. 42th IEEE Conf. on Decision and Control, Maui, Hawaii, USA, Dec. 2003, pp. 2138-2143.
    • (2003) Proc. 42th IEEE Conf. on Decision and Control , pp. 2138-2143
    • Egerstedt, M.1    Wardi, Y.2    Delmotte, F.3
  • 16
    • 0035687275 scopus 로고    scopus 로고
    • "Optimal control of autonomous linear systems switched with a pre-assigned finite sequence"
    • Mexico City, Mexico
    • A. Giua, C. Seatzu, and C. Van Der Mee, "Optimal control of autonomous linear systems switched with a pre-assigned finite sequence," in Proc. 2001 IEEE Int. Symp. on Intelligent Control, Mexico City, Mexico, 2001, pp. 144-149.
    • (2001) Proc. 2001 IEEE Int. Symp. on Intelligent Control , pp. 144-149
    • Giua, A.1    Seatzu, C.2    Van Der Mee, C.3
  • 18
    • 0034438496 scopus 로고    scopus 로고
    • "A hierarchical decomposition method for optimal control of hybrid systems"
    • Phoenix, AZ, Dec
    • K. Gokbayrak and C. G. Cassandras, "A hierarchical decomposition method for optimal control of hybrid systems," in Proc. 38th IEEE Conf. on Decision and Control, Phoenix, AZ, Dec. 1999, pp. 1816-1821.
    • (1999) Proc. 38th IEEE Conf. on Decision and Control , pp. 1816-1821
    • Gokbayrak, K.1    Cassandras, C.G.2
  • 19
    • 0036740941 scopus 로고    scopus 로고
    • "Convex dynamic programming for hybrid systems"
    • Sep
    • S. Hedlund and A. Rantzer, "Convex dynamic programming for hybrid systems," IEEE Trans. Automatic Control, vol. 47, no. 9, pp. 1536-1540, Sep. 2002.
    • (2002) IEEE Trans. Automatic Control , vol.47 , Issue.9 , pp. 1536-1540
    • Hedlund, S.1    Rantzer, A.2
  • 20
    • 24344472491 scopus 로고    scopus 로고
    • ILOG, Inc., Gentilly Cedex, France
    • CPLEX 8.1 User Manual, ILOG, Inc., Gentilly Cedex, France, 2003.
    • (2003) CPLEX 8.1 User Manual
  • 24
    • 0033310363 scopus 로고    scopus 로고
    • "Necessary conditions for hybrid optimization"
    • Phoenix, Arizona, USA, Dec
    • B. Piccoli, "Necessary conditions for hybrid optimization," in Proc. 38th IEEE Conf. on Decision and Control, Phoenix, Arizona, USA, Dec. 1999.
    • (1999) Proc. 38th IEEE Conf. on Decision and Control
    • Piccoli, B.1
  • 25
    • 0034171765 scopus 로고    scopus 로고
    • "Piecewise linear quadratic optimal control"
    • Apr
    • A. Rantzer and M. Johansson, "Piecewise linear quadratic optimal control," IEEE Trans. Automatic Control, vol. 45, no. 4, pp. 629-637, Apr. 2000.
    • (2000) IEEE Trans. Automatic Control , vol.45 , Issue.4 , pp. 629-637
    • Rantzer, A.1    Johansson, M.2
  • 27
    • 0035400459 scopus 로고    scopus 로고
    • "Model predictive control for max-plus-linear discrete event systems"
    • Jul
    • B. De Schutter and T. van den Boom, "Model predictive control for max-plus-linear discrete event systems," Automatica, vol. 37, no. 7, pp. 1049-1056, Jul. 2001.
    • (2001) Automatica , vol.37 , Issue.7 , pp. 1049-1056
    • De Schutter, B.1    van den Boom, T.2
  • 28
    • 1542319051 scopus 로고    scopus 로고
    • "On the optimal control of hybrid systems: Analysis and zonal algorithm for trajectory and schedule optimization"
    • Maui, USA, Dec
    • M. S. Shaikh and P. E. Caines, "On the optimal control of hybrid systems: Analysis and zonal algorithm for trajectory and schedule optimization," in Proc. 42th IEEE Conf. on Decision and Control, Maui, USA, Dec. 2003, pp. 2144-2149.
    • (2003) Proc. 42th IEEE Conf. on Decision and Control , pp. 2144-2149
    • Shaikh, M.S.1    Caines, P.E.2
  • 29
    • 0142184102 scopus 로고    scopus 로고
    • "On the optimal control of hybrid systems: Optimization of switching times and combinatoric schedules"
    • Denver, USA
    • M. S. Shaikh and P. E. Caines, "On the optimal control of hybrid systems: Optimization of switching times and combinatoric schedules," in Proc. American Contr. Conf., Denver, USA, 2003.
    • (2003) Proc. American Contr. Conf.
    • Shaikh, M.S.1    Caines, P.E.2
  • 30
    • 33646903065 scopus 로고    scopus 로고
    • "On the optimal control of hybrid systems: Optimization of trajectories, switching times and location schedules"
    • Prague, The Czech Republic
    • M. S. Shaikh and P. E. Caines, "On the optimal control of hybrid systems: Optimization of trajectories, switching times and location schedules," in 6th Int. Workshop on Hybrid Systems: Computation and Control, Prague, The Czech Republic, 2003.
    • (2003) 6th Int. Workshop on Hybrid Systems: Computation and Control
    • Shaikh, M.S.1    Caines, P.E.2
  • 31
    • 0033330266 scopus 로고    scopus 로고
    • "A maximum principle for hybrid optimal control problems"
    • Phoenix, Arizona, USA, Dec
    • H. J. Sussmann, "A maximum principle for hybrid optimal control problems," in Proc. 38th IEEE Conf. on Decision and Control, Phoenix, Arizona, USA, Dec. 1999.
    • (1999) Proc. 38th IEEE Conf. on Decision and Control
    • Sussmann, H.J.1
  • 34
    • 0037126506 scopus 로고    scopus 로고
    • "Optimal control of switched systems via nonlinear optimization based on direct differentiations of value functions"
    • X. Xu and P. J. Antsaklis, "Optimal control of switched systems via nonlinear optimization based on direct differentiations of value functions," Int. J. Control, vol. 75, no. 16/17, pp. 1406-1426, 2002.
    • (2002) Int. J. Control , vol.75 , Issue.16-17 , pp. 1406-1426
    • Xu, X.1    Antsaklis, P.J.2
  • 35
    • 0242366102 scopus 로고    scopus 로고
    • "Quadratic optimal control problems for hybrid linear autonomous systems with state jumps"
    • Denver, USA
    • X. Xu and P. J. Antsaklis, "Quadratic optimal control problems for hybrid linear autonomous systems with state jumps," in Proc. American Contr. Conf., Denver, USA, 2003.
    • (2003) Proc. American Contr. Conf.
    • Xu, X.1    Antsaklis, P.J.2
  • 36
    • 35048819200 scopus 로고    scopus 로고
    • "Results and perspectives on computational methods for optimal control of switched systems"
    • Prague, The Czech Republic
    • X. Xu and P. J. Antsaklis, "Results and perspectives on computational methods for optimal control of switched systems," in 6th Int. Workshop on Hybrid Systems: Computation and Control, Prague, The Czech Republic, 2003.
    • (2003) 6th Int. Workshop on Hybrid Systems: Computation and Control
    • Xu, X.1    Antsaklis, P.J.2
  • 37
    • 0742303977 scopus 로고    scopus 로고
    • "Optimal control of switched systems based on parameterization of the switching instants"
    • X. Xu and P. J. Antsaklis, "Optimal control of switched systems based on parameterization of the switching instants," IEEE Trans. Automatic Control, vol. 49, no. 1, pp. 2-16, 2004.
    • (2004) IEEE Trans. Automatic Control , vol.49 , Issue.1 , pp. 2-16
    • Xu, X.1    Antsaklis, P.J.2
  • 38
    • 0036804131 scopus 로고    scopus 로고
    • "An improved forward algorithm for optimal control of a class of hybrid systems"
    • P. Zhang and C. G. Cassandras, "An improved forward algorithm for optimal control of a class of hybrid systems," IEEE Trans. Automatic Control, vol. 47, no. 10, pp. 1735-1739, 2002.
    • (2002) IEEE Trans. Automatic Control , vol.47 , Issue.10 , pp. 1735-1739
    • Zhang, P.1    Cassandras, C.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.