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Volumn 81, Issue 2, 2008, Pages 277-293

A numerical algorithm for optimal control of a class of hybrid systems: Differential transformation based approach

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 35948968007     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170701556880     Document Type: Article
Times cited : (22)

References (43)
  • 1
    • 35948972349 scopus 로고    scopus 로고
    • On solving optimal control problems for switched hybrid non-linear systems by strong variations algorithms
    • Stuttgart, Germany, September
    • M. Alamir and S. Attia, "On solving optimal control problems for switched hybrid non-linear systems by strong variations algorithms", in Proceedings of the 6th IFAC Symposium on Nonlinear Control Systems, Stuttgart, Germany, September, 2004, pp. 1-7.
    • (2004) Proceedings of the 6th IFAC Symposium on Nonlinear Control Systems , pp. 1-7
    • Alamir, M.1    Attia, S.2
  • 3
    • 3042570027 scopus 로고    scopus 로고
    • Special issue on hybrid systems: Theory and applications a brief introduction to the theory and applications of hybrid systems
    • P.J. Antsaklis, "Special issue on hybrid systems: theory and applications a brief introduction to the theory and applications of hybrid systems", Proc. IEEE, 88, pp. 879-887, 2000.
    • (2000) Proc. IEEE , vol.88 , pp. 879-887
    • Antsaklis, P.J.1
  • 4
    • 0032051095 scopus 로고    scopus 로고
    • Hybrid control systems: An introductory discussion to the special issue
    • P.J. Antsaklis and A. Nerode, "Hybrid control systems: an introductory discussion to the special issue", IEEE Trans. Automat. Contr., 43, pp. 457-460, 1998.
    • (1998) IEEE Trans. Automat. Contr , vol.43 , pp. 457-460
    • Antsaklis, P.J.1    Nerode, A.2
  • 6
    • 0033097938 scopus 로고    scopus 로고
    • Control of systems integrating logic, dynamics, and constraints
    • A. Bemporad and M. Morari, "Control of systems integrating logic, dynamics, and constraints", Automatica, 35, pp. 407-427, 1999.
    • (1999) Automatica , vol.35 , pp. 407-427
    • Bemporad, A.1    Morari, M.2
  • 7
    • 45449092068 scopus 로고    scopus 로고
    • On the optimal control law for linear discrete time hybrid systems
    • A. Bemporad, F. Borrelli and M. Morari, "On the optimal control law for linear discrete time hybrid systems", Lect. Notes Comput. Sc., 2289, pp. 105-119, 2002.
    • (2002) Lect. Notes Comput. Sc , vol.2289 , pp. 105-119
    • Bemporad, A.1    Borrelli, F.2    Morari, M.3
  • 8
    • 9644269109 scopus 로고    scopus 로고
    • Optimal control of switching systems
    • S. Bengea and R. DeCarlo, "Optimal control of switching systems", Automatica, 41, pp. 11-27, 2005.
    • (2005) Automatica , vol.41 , pp. 11-27
    • Bengea, S.1    DeCarlo, R.2
  • 9
    • 3042655193 scopus 로고    scopus 로고
    • Analysis of axial vibration of compound bars by differential transformation method
    • C. Bert and H. Zeng, "Analysis of axial vibration of compound bars by differential transformation method", J. Sound Vib., 275, pp. 641-647, 2004.
    • (2004) J. Sound Vib , vol.275 , pp. 641-647
    • Bert, C.1    Zeng, H.2
  • 10
    • 0031701911 scopus 로고    scopus 로고
    • A unified framework for hybrid control: Model and optimal control theory
    • M. Branicky, V. Borkar and S. Mitter, "A unified framework for hybrid control: model and optimal control theory", IEEE Trans. Automat. Contr., 43, pp. 31-45, 1998.
    • (1998) IEEE Trans. Automat. Contr , vol.43 , pp. 31-45
    • Branicky, M.1    Borkar, V.2    Mitter, S.3
  • 11
    • 33745801616 scopus 로고    scopus 로고
    • Optimality zone algorithms for hybrid systems: Efficient algorithms for optimal location and control computation
    • P. Caines and M. Shaikh, "Optimality zone algorithms for hybrid systems: efficient algorithms for optimal location and control computation", Lect. Notes Comput. Sc., 3927, pp. 123-137, 2006.
    • (2006) Lect. Notes Comput. Sc , vol.3927 , pp. 123-137
    • Caines, P.1    Shaikh, M.2
  • 12
    • 85033467252 scopus 로고    scopus 로고
    • J. Canny, E. Kaltofen and L. Yagati, Solving systems of non-linear polynomial equations faster, in Proceedings of the ACM-SIGSAM International Symposium on Symbolic and Algebraic Computation, Portland, Oregano, 1989, 121-128.
    • J. Canny, E. Kaltofen and L. Yagati, "Solving systems of non-linear polynomial equations faster", in Proceedings of the ACM-SIGSAM International Symposium on Symbolic and Algebraic Computation, Portland, Oregano, 1989, 121-128.
  • 13
    • 0032345440 scopus 로고    scopus 로고
    • Solution of two-point boundary-value problems using the differential transformation method
    • C. Chen and Y. Liu, "Solution of two-point boundary-value problems using the differential transformation method", J. Optimiz. Theo. App., 99, pp. 23-35, 1998.
    • (1998) J. Optimiz. Theo. App , vol.99 , pp. 23-35
    • Chen, C.1    Liu, Y.2
  • 14
    • 0344286739 scopus 로고    scopus 로고
    • Transverse vibration of a rotation twisted timoshenko beam under axial loading using differential transformation
    • C. Chen and S. Ho, "Transverse vibration of a rotation twisted timoshenko beam under axial loading using differential transformation", Int. J. Mech. Sci., 41, pp. 1339-1356, 1999.
    • (1999) Int. J. Mech. Sci , vol.41 , pp. 1339-1356
    • Chen, C.1    Ho, S.2
  • 17
    • 46449087580 scopus 로고    scopus 로고
    • A computational approach to solve optimal control problems using differential transformation
    • New York, July
    • D. Du and I. Hwang, "A computational approach to solve optimal control problems using differential transformation", American Control Conference, New York, July, 2007.
    • (2007) American Control Conference
    • Du, D.1    Hwang, I.2
  • 19
    • 31344466539 scopus 로고    scopus 로고
    • Transition-time optimization for switched-mode dynamical systems
    • M. Egerstedt, Y. Wardi and H. Axelsson, "Transition-time optimization for switched-mode dynamical systems", IEEE Trans. Automat. Contr., 51, pp. 110-115, 2006.
    • (2006) IEEE Trans. Automat. Contr , vol.51 , pp. 110-115
    • Egerstedt, M.1    Wardi, Y.2    Axelsson, H.3
  • 20
    • 84972555975 scopus 로고
    • Continuous dependence for two-point boundary value problems
    • R. Gaines, "Continuous dependence for two-point boundary value problems", Pac. J. Math., 28, pp. 327-336, 1969.
    • (1969) Pac. J. Math , vol.28 , pp. 327-336
    • Gaines, R.1
  • 22
    • 84974691156 scopus 로고    scopus 로고
    • Hybrid controllers for Hierarchically Decomposed Systems
    • K. Gokbayrak and C.G. Cassandras, "Hybrid controllers for Hierarchically Decomposed Systems", Lect. Notes Comput. Sc., 1790, pp. 117-129, 2000.
    • (2000) Lect. Notes Comput. Sc , vol.1790 , pp. 117-129
    • Gokbayrak, K.1    Cassandras, C.G.2
  • 23
    • 0036740941 scopus 로고    scopus 로고
    • Convex dynamic programming for hybrid systems
    • S. Hedlund and A. Rantzer, "Convex dynamic programming for hybrid systems", IEEE Trans. Automat. Contr., 47, pp. 1536-1540, 2002.
    • (2002) IEEE Trans. Automat. Contr , vol.47 , pp. 1536-1540
    • Hedlund, S.1    Rantzer, A.2
  • 24
    • 0000443213 scopus 로고    scopus 로고
    • On solving the initial-value problems using the differential transformation method
    • M. Jang, C. Chen and Y. Liu, "On solving the initial-value problems using the differential transformation method", Appl. Math. Comput., 115, pp. 145-160, 2000.
    • (2000) Appl. Math. Comput , vol.115 , pp. 145-160
    • Jang, M.1    Chen, C.2    Liu, Y.3
  • 25
    • 0035877251 scopus 로고    scopus 로고
    • Two-dimensional differential transform for partial differential equations
    • M. Jang, C. Chen and Y. Liu, "Two-dimensional differential transform for partial differential equations", Appl. Math. Comput., 121, pp. 261-270, 2001.
    • (2001) Appl. Math. Comput , vol.121 , pp. 261-270
    • Jang, M.1    Chen, C.2    Liu, Y.3
  • 26
    • 0032046325 scopus 로고    scopus 로고
    • Verified hybrid controllers for automated vehicles
    • J. Lygeros, D. Godbole and S. Sastry, "Verified hybrid controllers for automated vehicles", IEEE Trans. Automat. Contr., 43, pp. 522-539, 1998.
    • (1998) IEEE Trans. Automat. Contr , vol.43 , pp. 522-539
    • Lygeros, J.1    Godbole, D.2    Sastry, S.3
  • 27
    • 33645837672 scopus 로고    scopus 로고
    • Differential transformation approach for free vibration analysis of a centrifugally stiffened Timoshenko beam
    • C. Mei, "Differential transformation approach for free vibration analysis of a centrifugally stiffened Timoshenko beam", J. Vib. Acoust., 128, pp. 170-175, 2006.
    • (2006) J. Vib. Acoust , vol.128 , pp. 170-175
    • Mei, C.1
  • 28
    • 0012786233 scopus 로고    scopus 로고
    • Optimal control of hybrid systems in manufacturing
    • D. Pepyne and C. Cassandras, "Optimal control of hybrid systems in manufacturing", Proc. IEEE, 88, pp. 1108-1123, 2000.
    • (2000) Proc. IEEE , vol.88 , pp. 1108-1123
    • Pepyne, D.1    Cassandras, C.2
  • 31
    • 0034171765 scopus 로고    scopus 로고
    • Piecewise linear quadratic optimal control
    • A. Rantzer and M. Johansson, "Piecewise linear quadratic optimal control", IEEE Trans. Automat. Contr., 45, pp. 629-637, 2000.
    • (2000) IEEE Trans. Automat. Contr , vol.45 , pp. 629-637
    • Rantzer, A.1    Johansson, M.2
  • 33
    • 33845380556 scopus 로고    scopus 로고
    • An optimal control approach for hybrid systems
    • P. Riedinger, C. lung and F. Kratz, "An optimal control approach for hybrid systems", Eur. J. Contr., 9, pp. 449-458, 2003.
    • (2003) Eur. J. Contr , vol.9 , pp. 449-458
    • Riedinger, P.1    lung, C.2    Kratz, F.3
  • 34
  • 35
    • 35248862542 scopus 로고    scopus 로고
    • On the optimal control of hybrid systems: Optimization of trajectories, switching times, and location schedules
    • M. Shaikh and P. Caines, "On the optimal control of hybrid systems: optimization of trajectories, switching times, and location schedules", Lect. Notes Comput. Sc., 2623, pp. 466-481, 2003.
    • (2003) Lect. Notes Comput. Sc , vol.2623 , pp. 466-481
    • Shaikh, M.1    Caines, P.2
  • 36
    • 33645386536 scopus 로고    scopus 로고
    • Optimal control of hybrid systems: Theory and algorithms
    • PhD thesis, Department of Electrical and Computer Engineering, McGill University, Canada
    • M. Shaikh, "Optimal control of hybrid systems: theory and algorithms", PhD thesis, Department of Electrical and Computer Engineering, McGill University, Canada (2004).
    • (2004)
    • Shaikh, M.1
  • 39
    • 0000274688 scopus 로고    scopus 로고
    • A game theoretic approach to controller design for hybrid systems
    • C. Tomlin, J. Lygeros and S. Sastry, "A game theoretic approach to controller design for hybrid systems", in Proceedings of the IEEE, 2000, 88, pp. 949-970.
    • (2000) Proceedings of the IEEE , vol.88 , pp. 949-970
    • Tomlin, C.1    Lygeros, J.2    Sastry, S.3
  • 40
    • 0034547657 scopus 로고    scopus 로고
    • Optimal control of switched systems: New results and open problems
    • Chicago, IL
    • X. Xu and P. Antsaklis, "Optimal control of switched systems: new results and open problems", in Proceedings of the 2000 America Control Conference, Chicago, IL, 2000, pp. 2683-2687.
    • (2000) Proceedings of the 2000 America Control Conference , pp. 2683-2687
    • Xu, X.1    Antsaklis, P.2
  • 41
    • 35248899269 scopus 로고    scopus 로고
    • Results and perspectives on computational methods for optimal control of switched systems
    • X. Xu and P.J. Antsaklis, "Results and perspectives on computational methods for optimal control of switched systems", Lect. Notes Comput. Sc., 2623, pp. 540-555, 2003.
    • (2003) Lect. Notes Comput. Sc , vol.2623 , pp. 540-555
    • Xu, X.1    Antsaklis, P.J.2
  • 42
    • 0742303977 scopus 로고    scopus 로고
    • Optimal control of switched systems based on parameterization of the switched instants
    • X. Xu and P. Antsaklis, "Optimal control of switched systems based on parameterization of the switched instants", IEEE Trans. Automat. Contr., 49, pp. 2-16, 2004.
    • (2004) IEEE Trans. Automat. Contr , vol.49 , pp. 2-16
    • Xu, X.1    Antsaklis, P.2


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