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A neighboring extremal solution for an optimal switched impulsive control problem
1. | Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China, China |
2. | Department of Mathematics and Statistics, Curtin University, Perth, W.A. 6845, Australia |
3. | Department of Mathematics and Statistics, Curtin University, Perth 6845 |
References:
[1] |
J. T. Betts, "Practical Methods for Optimal Control and Estimation Using Nonlinear Programming," 2nd edition, Advances in Design and Control, 19, SIAM, Philadelphia, PA, 2010. |
[2] |
A. E. Bryson, Jr. and Y. C. Ho, "Applied Optimal Control: Optimization, Estimation, and Control," Revised printing, Hemisphere Publishing Corp. Washington, D. C., distributed by Halsted Press [John Wiley & Sons], New York-London-Sydney, 1975. |
[3] |
R. Ghaemi, J. Sun and I. V. Kolmanovsky, An integrated perturbation analysis and sequential quadratic programming approach for model predictive control, Automatica, 45 (2009), 2412-2418.
doi: 10.1016/j.automatica.2009.06.028. |
[4] |
_____, Neighboring extremal solution for nonlinear discrete-time optimal control problems with state inequality constraints, IEEE Transactions on Automatic Control, 54 (2009), 2674-2679.
doi: 10.1109/TAC.2009.2031576. |
[5] |
S. Gros, B. Chachuat and D. Bonvin, Neighbouring-extremal control for singular dynamic optimisation problems. Part II. Multiple-input systems, International Journal of Control, 82 (2009), 1193-1211.
doi: 10.1080/00207170802460032. |
[6] |
S. Gros, B. Srinivasan, B. Chachuat and D. Bonvin, Neighbouring-extremal control for singular dynamic optimisation problems. Part I. Single-input systems, International Journal of Control, 82 (2009), 1099-1112.
doi: 10.1080/00207170802460024. |
[7] |
C. Y.-F. Ho, B. W.-K. Ling, Y.-Q. Liu, P. K.-S. Tam and K.-L. Teo, Optimal PWM control of switched-capacitor DC-DC power converters via model transformation and enhancing control techniques, IEEE Transactions on Circuits and Systems. I. Regular Papers, 55 (2008), 1382-1391.
doi: 10.1109/TCSI.2008.916442. |
[8] |
B. Kugelmann and H. J. Pesch, New general guidance method in constrained optimal control. I. Numerical method, Journal of Optimization Theory & Applications, 67 (1990), 421-435.
doi: 10.1007/BF00939642. |
[9] |
Q. Lin, R. Loxton, K. L. Teo and Y. H. Wu, A new computational method for optimizing nonlinear impulsive systems, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms, 18 (2011), 59-76. |
[10] |
Y. Liu, K. L. Teo, L. S. Jennings and S. Wang, On a class of optimal control problems with state jumps, Journal of Optimization Theory & Applications, 98 (1998), 65-82.
doi: 10.1023/A:1022684730236. |
[11] |
R. C. Loxton, K. L. Teo and V. Rehbock, Computational method for a class of switched system optimal control problems, IEEE Transactions on Automatic Control, 54 (2009), 2455-2460.
doi: 10.1109/TAC.2009.2029310. |
[12] |
R. C. Loxton, K. L. Teo, V. Rehbock and W. K. Ling, Optimal switching instants for a switched-capacitor DC/DC power converter, Automatica J. IFAC, 45 (2009), 973-980.
doi: 10.1016/j.automatica.2008.10.031. |
[13] |
K. Malanowski and H. Maurer, Sensitivity analysis for parametric control problems with control-state constraints, Computational Optimization and Applications, 5 (1996), 253-283. |
[14] |
_____, Sensitivity analysis for optimal control problems subject to higher order state constraints, Annals of Operations Research, 101 (2001), 43-73.
doi: 10.1023/A:1010956104457. |
[15] |
H. J. Pesch, Real-time computation of feedback controls for constrained optimal control problems. I. Neighbouring extremals, Optimal Control Applications & Methods, 10 (1989), 129-145.
doi: 10.1002/oca.4660100205. |
[16] |
_____, Real-time computation of feedback controls for constrained optimal control problems. II. A correction method based on multiple shooting, Optimal Control Applications & Methods, 10 (1989), 147-171.
doi: 10.1002/oca.4660100206. |
[17] |
K. L. Teo, C. J. Goh and K. H. Wong, "A Unified Computational Approach to Optimal Control Problems," Pitman Monographs and Surveys in Pure and Applied Mathematics, 55, Longman Scientific & Technical, Harlow, copublished in the United States with John Wiley & Sons, Inc., New York, 1991. |
[18] |
C. Z. Wu and K. L. Teo, Global impulsive optimal control computation, Journal of Industrial and Management Optimization, 2 (2006), 435-450. |
[19] |
R. Yu and P. Leung, Optimal partial harvesting schedule for aquaculture operations, Marine Resource Economics, 21 (2006), 301-315. |
show all references
References:
[1] |
J. T. Betts, "Practical Methods for Optimal Control and Estimation Using Nonlinear Programming," 2nd edition, Advances in Design and Control, 19, SIAM, Philadelphia, PA, 2010. |
[2] |
A. E. Bryson, Jr. and Y. C. Ho, "Applied Optimal Control: Optimization, Estimation, and Control," Revised printing, Hemisphere Publishing Corp. Washington, D. C., distributed by Halsted Press [John Wiley & Sons], New York-London-Sydney, 1975. |
[3] |
R. Ghaemi, J. Sun and I. V. Kolmanovsky, An integrated perturbation analysis and sequential quadratic programming approach for model predictive control, Automatica, 45 (2009), 2412-2418.
doi: 10.1016/j.automatica.2009.06.028. |
[4] |
_____, Neighboring extremal solution for nonlinear discrete-time optimal control problems with state inequality constraints, IEEE Transactions on Automatic Control, 54 (2009), 2674-2679.
doi: 10.1109/TAC.2009.2031576. |
[5] |
S. Gros, B. Chachuat and D. Bonvin, Neighbouring-extremal control for singular dynamic optimisation problems. Part II. Multiple-input systems, International Journal of Control, 82 (2009), 1193-1211.
doi: 10.1080/00207170802460032. |
[6] |
S. Gros, B. Srinivasan, B. Chachuat and D. Bonvin, Neighbouring-extremal control for singular dynamic optimisation problems. Part I. Single-input systems, International Journal of Control, 82 (2009), 1099-1112.
doi: 10.1080/00207170802460024. |
[7] |
C. Y.-F. Ho, B. W.-K. Ling, Y.-Q. Liu, P. K.-S. Tam and K.-L. Teo, Optimal PWM control of switched-capacitor DC-DC power converters via model transformation and enhancing control techniques, IEEE Transactions on Circuits and Systems. I. Regular Papers, 55 (2008), 1382-1391.
doi: 10.1109/TCSI.2008.916442. |
[8] |
B. Kugelmann and H. J. Pesch, New general guidance method in constrained optimal control. I. Numerical method, Journal of Optimization Theory & Applications, 67 (1990), 421-435.
doi: 10.1007/BF00939642. |
[9] |
Q. Lin, R. Loxton, K. L. Teo and Y. H. Wu, A new computational method for optimizing nonlinear impulsive systems, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms, 18 (2011), 59-76. |
[10] |
Y. Liu, K. L. Teo, L. S. Jennings and S. Wang, On a class of optimal control problems with state jumps, Journal of Optimization Theory & Applications, 98 (1998), 65-82.
doi: 10.1023/A:1022684730236. |
[11] |
R. C. Loxton, K. L. Teo and V. Rehbock, Computational method for a class of switched system optimal control problems, IEEE Transactions on Automatic Control, 54 (2009), 2455-2460.
doi: 10.1109/TAC.2009.2029310. |
[12] |
R. C. Loxton, K. L. Teo, V. Rehbock and W. K. Ling, Optimal switching instants for a switched-capacitor DC/DC power converter, Automatica J. IFAC, 45 (2009), 973-980.
doi: 10.1016/j.automatica.2008.10.031. |
[13] |
K. Malanowski and H. Maurer, Sensitivity analysis for parametric control problems with control-state constraints, Computational Optimization and Applications, 5 (1996), 253-283. |
[14] |
_____, Sensitivity analysis for optimal control problems subject to higher order state constraints, Annals of Operations Research, 101 (2001), 43-73.
doi: 10.1023/A:1010956104457. |
[15] |
H. J. Pesch, Real-time computation of feedback controls for constrained optimal control problems. I. Neighbouring extremals, Optimal Control Applications & Methods, 10 (1989), 129-145.
doi: 10.1002/oca.4660100205. |
[16] |
_____, Real-time computation of feedback controls for constrained optimal control problems. II. A correction method based on multiple shooting, Optimal Control Applications & Methods, 10 (1989), 147-171.
doi: 10.1002/oca.4660100206. |
[17] |
K. L. Teo, C. J. Goh and K. H. Wong, "A Unified Computational Approach to Optimal Control Problems," Pitman Monographs and Surveys in Pure and Applied Mathematics, 55, Longman Scientific & Technical, Harlow, copublished in the United States with John Wiley & Sons, Inc., New York, 1991. |
[18] |
C. Z. Wu and K. L. Teo, Global impulsive optimal control computation, Journal of Industrial and Management Optimization, 2 (2006), 435-450. |
[19] |
R. Yu and P. Leung, Optimal partial harvesting schedule for aquaculture operations, Marine Resource Economics, 21 (2006), 301-315. |
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