Minimizing control variation in nonlinear optimal control

Automatica

Volumn 49, Issue 9, 2013, Pages 2652-2664

  Loxton, Ryan ^a   Lin, Qun ^a   Teo, Kok Lay ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

Constrained optimal control; Nonlinear optimization; Optimal control computation; Total variation

Indexed keywords

CONSTRAINED OPTIMAL CONTROL; CONTROL PARAMETERIZATION; NON-LINEAR OPTIMAL CONTROL; NON-LINEAR OPTIMIZATION; OPTIMAL CONTROL COMPUTATION; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; TOTAL VARIATION;

CONSTRAINED OPTIMIZATION; OPTIMAL CONTROL SYSTEMS;

CONTROL;

EID: 84881482004     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2013.05.027     Document Type: Article

References (33)

1. Açikmeşe, B., & Blackmore, L. (2010). Lossless convexification of a class of non-convex optimal control problems for linear systems. In Proceedings of the 2010 American control conference, Baltimore, USA.
2. B. Açikmeşe, and L. Blackmore Lossless convexification of a class of optimal control problems with non-convex control constraints Automatica 47 2 2011 341 347
3. N.U. Ahmed Elements of finite-dimensional systems and control theory 1988 Longman Scientific and Technical Essex
4. N.U. Ahmed Dynamic systems and control with applications 2006 World Scientific Singapore
5. J.M. Blatt Optimal control with a cost of switching control Journal of the Australian Mathematical Society - Series B: Applied Mathematics 19 3 1976 316 332
6. C. Büskens, and H. Maurer SQP-methods for solving optimal control problems with control and state constraints: adjoint variables, sensitivity analysis, and real-time control Journal of Computational and Applied Mathematics 120 1-2 2000 85 108
7. W.N. Chen, J. Zhang, H.S.H. Chung, W.L. Zhong, W.G. Wu, and Y.H. Shi A novel set-based particle swarm optimization method for discrete optimization problems IEEE Transactions on Evolutionary Computation 14 2 2010 278 300
8. M. Gerdts Global convergence of a nonsmooth Newton method for control-state constrained optimal control problems SIAM Journal on Optimization 19 1 2008 326 350
9. M. Gerdts, and M. Kunkel A nonsmooth Newton's method for discretized optimal control problems with state and control constraints Journal of Industrial and Management Optimization 4 2 2008 247 270
10. R.F. Hartl, S.P. Sethi, and R.G. Vickson A survey of the maximum principles for optimal control problems with state constraints SIAM Review 37 2 1995 181 218
11. Jennings, L.S., Fisher, M.E., Teo, K.L., & Goh, C.J. (2004). MISER 3 optimal control software: theory and user manual, version 3. University of Western Australia.
12. C. Jiang, Q. Lin, C. Yu, K.L. Teo, and G.R. Duan An exact penalty method for free terminal time optimal control problem with continuous inequality constraints Journal of Optimization Theory and Applications 154 1 2012 30 53
13. C.Y. Kaya, and J.L. Noakes Computational method for time-optimal switching control Journal of Optimization Theory and Applications 117 1 2003 69 92
14. Q. Lin, R. Loxton, K.L. Teo, and Y.H. Wu A new computational method for a class of free terminal time optimal control problems Pacific Journal of Optimization 7 1 2011 63 81
15. R. Loxton, Q. Lin, V. Rehbock, and K.L. Teo Control parameterization for optimal control problems with continuous inequality constraints: new convergence results Numerical Algebra, Control and Optimization 2 3 2012 571 599
16. R. Loxton, K.L. Teo, and V. Rehbock Optimal control problems with multiple characteristic time points in the objective and constraints Automatica 44 11 2008 2923 2929
17. R. Loxton, K.L. Teo, V. Rehbock, and K.F.C. Yiu Optimal control problems with a continuous inequality constraint on the state and the control Automatica 45 10 2009 2250 2257
18. D.G. Luenberger, and Y. Ye Linear and nonlinear programming 3rd ed. 2008 Springer New York
19. J. Matula On an extremum problem Journal of the Australian Mathematical Society - Series B: Applied Mathematics 28 3 1987 376 392
20. J. Nocedal, and S.J. Wright Numerical optimization 2nd ed. 2006 Springer New York
21. H.L. Royden, and P.M. Fitzpatrick Real analysis 4th ed. 2010 Prentice Hall Boston
22. Y. Sakawa, and Y. Shindo Optimal control of container cranes Automatica 18 3 1982 257 266
23. Schittkowski, K. (2007). NLPQLP: a fortran implementation of a sequential quadratic programming algorithm with distributed and non-monotone line search, version 2.24. University of Bayreuth.
24. D.E. Stewart A numerical algorithm for optimal control problems with switching costs Journal of the Australian Mathematical Society - Series B: Applied Mathematics 34 2 1992 212 228
25. K.L. Teo, C.J. Goh, and K.H. Wong A unified computational approach to optimal control problems 1991 Longman Scientific and Technical Essex
26. K.L. Teo, and L.S. Jennings Optimal control with a cost on changing control Journal of Optimization Theory and Applications 68 2 1991 335 357
27. R.J. Vanderbei Case studies in trajectory optimization: trains, planes, and other pastimes Optimization and Engineering 2 2 2001 215 243
28. T.L. Vincent, and W.J. Grantham Optimality in parametric systems 1981 John Wiley New York
29. L.Y. Wang, W.H. Gui, K.L. Teo, R. Loxton, and C.H. Yang Time delayed optimal control problems with multiple characteristic time points: computation and industrial applications Journal of Industrial and Management Optimization 5 4 2009 705 718
30. Z.Y. Wu, F.S. Bai, H.W.J. Lee, and Y.J. Yang A filled function method for constrained global optimization Journal of Global Optimization 39 4 2007 495 507
31. X. Xu, and P.J. Antsaklis Optimal control of switched systems based on parameterization of the switching instants IEEE Transactions on Automatic Control 49 1 2004 2 16
32. C. Yu, B. Li, R. Loxton, and K.L. Teo Optimal discrete-valued control computation Journal of Global Optimization 56 2 2013 503 518
33. Y. Zhao, and M.A. Stadtherr Rigorous global optimization for dynamic systems subject to inequality path constraints Industrial & Engineering Chemistry Research 50 22 2011 12678 12693