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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, 19 (2010).
|
[2] |
A. E. Bryson, Jr. and Y. C. Ho, "Applied Optimal Control: Optimization, Estimation, and Control,", Revised printing, (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.
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.
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.
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.
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.
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.
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, 18 (2011), 59.
|
[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.
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.
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.
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.
|
[14] |
_____, Sensitivity analysis for optimal control problems subject to higher order state constraints,, Annals of Operations Research, 101 (2001), 43.
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.
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.
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 (1991).
|
[18] |
C. Z. Wu and K. L. Teo, Global impulsive optimal control computation,, Journal of Industrial and Management Optimization, 2 (2006), 435.
|
[19] |
R. Yu and P. Leung, Optimal partial harvesting schedule for aquaculture operations,, Marine Resource Economics, 21 (2006), 301. Google Scholar |
show all references
References:
[1] |
J. T. Betts, "Practical Methods for Optimal Control and Estimation Using Nonlinear Programming,", 2nd edition, 19 (2010).
|
[2] |
A. E. Bryson, Jr. and Y. C. Ho, "Applied Optimal Control: Optimization, Estimation, and Control,", Revised printing, (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.
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.
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.
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.
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.
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.
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, 18 (2011), 59.
|
[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.
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.
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.
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.
|
[14] |
_____, Sensitivity analysis for optimal control problems subject to higher order state constraints,, Annals of Operations Research, 101 (2001), 43.
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.
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.
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 (1991).
|
[18] |
C. Z. Wu and K. L. Teo, Global impulsive optimal control computation,, Journal of Industrial and Management Optimization, 2 (2006), 435.
|
[19] |
R. Yu and P. Leung, Optimal partial harvesting schedule for aquaculture operations,, Marine Resource Economics, 21 (2006), 301. Google Scholar |
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