A new computational method for optimizing nonlinear impulsive systems

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Volumn 18, Issue 1, 2011, Pages 59-76

  Lin, Qun ^a   Loxton, Ryan ^a   Teo, Kok Lay ^a   Wu, Yong Hong ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

Gradient based optimization; Impulsive system; Nonlinear optimal control; Nonlinear programming; Time scaling transformation

Indexed keywords

EID: 79551590262     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. N. U. Ahmed, Elements of Finite-Dimensional Systems and Control Theory, Essex: Longman Scientific and Technical, 1988.
2. M. Boccadoro, Y.Wardi, M. Egerstedt, and E.Verriest, Optimal control of switching surfaces in hybrid dynamical systems, Discrete Event Dynamic Systems: Theory and Applications, 15, (2005) 433-448.
3. C. Gao, E. Feng, Z.Wang, and Z. Xiu, Nonlinear dynamical systems of biodissimilation of glycerol to 1,3-Propanediol and their optimal controls, Journal of Industrial and Management Optimization, 1, (2005) 377-388.
4. C. Gao, K. Li, E. Feng, and Z. Xiu, Nonlinear impulsive system of fed-batch culture in fermentative production and its properties, Chaos, Solitons and Fractals, 28, (2006) 271-277.
5. A. C. Hindmarsh, Large ordinary differential equation systems and software, IEEE Control Systems Magazine, 2, (1982) 24-30.
6. 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.
7. P. Howlett, Optimal strategies for the control of a train, Automatica, 32, (1996) 519-532.
8. P. Howlett, The optimal control of a train, Annals of Operations Research, 98, (2000) 65-87.
9. L. S. Jennings, M. E. Fisher, K. L.Teo, and C. J. Goh, MISER 3: Solving optimal control problems-an update, Advances in Engineering Software and Workstations, 13, (1991) 190-196.
10. H. W. J. Lee, K. L.Teo, V. Rehbock, and L. S. Jennings, Control parameterization enhancing technique for time optimal control problems, Dynamic Systems and Applications, 6, (1997) 243-262.
11. R. Li, K. L.Teo, K. H.Wong, and G. R. Duan, Control parameterization enhancing transform for optimal control of switched systems, Mathematical and Computer Modelling, 43, (2006) 1393-1403.
12. 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 and Applications, 98, (1998) 65-82.
13. R. 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.
14. R. Loxton, K. L.Teo, V. Rehbock, and W. K. Ling, Optimal switching instants for a switched-capacitor DC/DC power converter, Automatica, 45, (2009) 973-980.
15. D. G. Luenberger, Linear and Nonlinear Programming, second edition, New York: Springer, 2006.
16. J. Nocedal and S. R.Wright, Numerical Optimization, New York: Springer, 1999.
17. T. Ruby and V. Rehbock, Numerical solutions of optimal switching control problems, in Optimization and Control with Applications, L. Qi, K. L.Teo, and X.Yang, Eds. New York: Springer, 2005.
18. K. Schittkowski, NLPQLP: A Fortran Implementation of a Sequential Quadratic Programming Algorithm with Distributed and Non-Monotone Line Search, version 2.24, user's guide, Bayreuth: University of Bayreuth, 2007.
19. S. F.Woon, Global algorithms for nonlinear discrete optimization and discretevalued optimal control problems, Ph.D. dissertation, Curtin University of Technology, Perth, December 2009.
20. C. Z.Wu and K. L.Teo, Global impulsive optimal control computation, Journal of Industrial and Management Optimization, 2, (2006) 435-450.
21. X. Xu and P. J. Antsaklis, Optimal control of switched systems based on parameterization of the switching instants, IEEE Transactions on Automatic Control, 49, (2004) 2-16.
22. R.Yu and P. Leung, Optimal partial harvesting schedule for aquaculture operations, Marine Resource Economics, 21, (2006) 301-315.