A neighboring extremal solution for an optimal switched impulsive control problem

Journal of Industrial and Management Optimization

Volumn 8, Issue 3, 2012, Pages 591-609

  Jiang, Canghua ^a   Teo, Kok Lay ^b   Loxton, Ryan ^b   Duan, Guang Ren ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b CURTIN UNIVERSITY   (Australia)

Author keywords

Impulsive control; Neighboring extremals; Nonlinear dynamic systems; Optimal control; Switched systems

Indexed keywords

EID: 84867625473     PISSN: 15475816     EISSN: 1553166X     Source Type: Journal    
DOI: 10.3934/jimo.2012.8.591     Document Type: Article

References (19)

1. J. T. Betts, "Practical Methods for Optimal Control and Estimation Using Nonlinear Pro- gramming," 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.
4. R. Ghaemi, Neighboring extremal solution for nonlinear discrete-time optimal control problems with state inequality constraints, IEEE Transactions on Automatic Control, 54 (2009), 2674{ 2679.
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.
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.
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.
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.
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.
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.
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.
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. K. Malanowski, Sensitivity analysis for optimal control problems subject to higher order state con- straints, Annals of Operations Research, 101 (2001), 43{73.
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.
16. H. J. Pesch, 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.
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.