Multi-objective optimal control: An introduction

ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings

Volumn , Issue , 2011, Pages 1084-1089

  Gambier, Adrian ^a   Jipp, Meike ^b  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b GERMAN AEROSPACE CENTER DLR   (Germany)

Author keywords

control algorithms; design methods; Multi objective optimization

Indexed keywords

ADVANCED CONTROL SYSTEMS; CONTROL PROBLEMS; DESIGN METHOD; DESIGN TECHNIQUE; DESIGNING CONTROL SYSTEM; MULTI OBJECTIVE; MULTI-OBJECTIVE OPTIMAL CONTROL; NEW PRODUCT; OPTIMIZATION TECHNIQUES; PERFORMANCE INDICES; TUNING CONTROLLERS;

ALGORITHMS; CONTROL SYSTEMS; COST FUNCTIONS;

MULTIOBJECTIVE OPTIMIZATION;

EID: 80051998650     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (36)

1. Andersson, J., A survey of multiobjective optimization in engineering design. Technical report LiTH-IKP-R-1097, Department of Mechanical Engineering, Linköping University, Linköping, Sweden, 2000.
2. Åström, K., J. Introduction to stochastic control theory. London, Academic Press, Inc., 1970.
3. Åström, K. J., and T. Hagglund, Advanced PID Control. ISA - The Instrumentation, Systems, and Automation Society, 2005.
4. Bernstein, D. S. and W. M. Haddad, LQG control with an 3fm performance bound: A Riccati equation approach. IEEE Transactions on Automatic Control, 34, 293-305, 1989.
5. Branch, M.A. and A. Grace, MATLAB Optimization Toolbox User's Guide, Version 1.5, The Mathworks, 1996.
6. Bryson A. E., Optimal Control - 1950 to 1985, IEEE Control System Magazine, 16, 26-33, 1996.
7. Dahleh, M. A. and I. J. Diaz-Bobillo, Control of Uncertain Systems: A Linear Programming Approach. Englewood Cliffs, NJ: Prentice-Hall, 1995.
8. Datta, A., M. T. Ho and S. P. Bhattacharyya, Structure and synthesis of PID controllers. Springer Verlag, New York, 2000.
9. Gambier, A., Optimal PID controller design using multiobjective Normal Boundary Intersection technique. Proceeding of the 7th Asian Control Conference 2009 (ASCC'09), 1369-1374, Hong Kong, August 27-29, 2009.
10. Gambier, A., and E. Badreddin, Multi-objective optimal control: An overview. Proceeding of the 2007 IEEE Conference on Control Applications (CCA 2007), 170-175, Singapore, October 1-3, 2007. (Pubitemid 351635290)
11. Gambier, A., MPC and PID control based on multi-objective optimization. Proceedings of the 2008 American Control Conference (2008 ACC), 4727-4732, Seattle, June 11-13, 2008.
12. Gambier, A., A. Wellenreuther and E. Badreddin, A new approach to design multiloop control systems with multiple controllers. Proc. of the 45th IEEE Conference on Decision and Control, San Diego, 2006.
13. Hutauruk, N.B.C. and M. Brown. Directed multi-objective optimization for controller design. Proc. International Conference on Instrumentation, Communication and Information Technology (ICICI), Bandung, Indonesia, August 3-5, 751-756, 2005.
14. Isermann R., Digital Control Systems (2nd Edn.). Spring-Verlag, 1991.
15. Johnson, M. A. and M. H. Moradi (Eds.), PID control: New identification and design methods. Springer Verlag, London, 2005.
16. Kookos, I. K., K.G. Arvanitis, G. Kalogeropoulos, PI controller tuning via multiobjective optimization. Proceedings of the 7th Mediterranean Conference on Control and Automation, Haifa, Israel, -, 1999.
17. Liu, G. P., J. B. Yang and J.F. Whidborne. Multiobjective Optimisation and Control. Research Studies Press Ltd., Exeter, 2003.
18. Marler, R.T. and J.S. Arora, Survey of multi-objective optimization methods for engineering. Struct Multidisc Optim, 26, 369-395, 2004.
19. O'Dwyer, A., Handbook of PI and PID controller tuning rules. Imperial College Press, London, 2003.
20. Pareto, V., Manuale di Economia Politica, Societa Editrice Libraria, Milano, Italy, 1906.
21. Translated into English by A.S. Schwier as Manual of Political Economy, Macmillan, New York, 1971.
22. Pedersen, G. K. M. and Z. Yang, Multi-objective PID-controller tuning for a magnetic levitation system using NSGA-II. Proc. of the Genetic and Evolutionary Computation Conference, 1737-1744, Seattle, July 8-12, 2006. (Pubitemid 44611541)
23. Popov, A., A. Farag, H. Werner, Tuning of a PID controller using a multi-objective optimization technique applied to a neutralization plant. Proc. of the 45th IEEE Conference on Decision and Control, Seville, 7139-7143, 2005.
24. Qi, X., M. H. Khammash, and M. V. Salapaka, Optimal controller synthesis with multiple objectives. Proc. of the American Control Conference, Arlington, 2730-2735, 2001. (Pubitemid 32837320)
25. Radke, F., and R. Isermann, A parameter-adaptive PID controller with stepwise parameter optimization, Automatica, 449-451, 1987.
26. 1 problem without zero interpolation, SIAM Journal on Optimization and Control, 37, 1865- 1873, 1999. (Pubitemid 32262055)
27. Scherer, C., P. Gahnet, and M. Chlali, Multiobjective output-feedback control via LMI optimization. IEEE Transactions on Automatic Control, 42, 896-910, 1997.
28. Schmitendorf, W. Cooperative games and vector-valued criteria problems. IEEE Transactions on Automatic Control, 18, 139-144, 1973.
29. Silva, G. J., A. Datta and S. P. Bhattacharyya, PID controllers for time delay systems. Birkhäuser, Cambridge, MA, 2003.
30. 1 controllers for MIMO discrete-time systems. Proc. of the 33rd IEEE Conference on Decision and Control, Lake Buena Vista, 3187-3192, 1994.
31. Sutha, S. And T. Thyagarajan, Eigenstructure assignment based Multiobjective Dynamic State feedback controller design for MIMO system using NSGA-II. Proceedings of the 2010 International Conference on Modelling, Identification and Control (ICMIC), 870 - 87517-19 July 2010 .
32. Tagami, T., T. Kawabe and K. Ikeda, Multi-objective Design Scheme for Robust IPD Controller. Proc. of IASTED International Conference on Modelling, Identification, and Control (MIC2004), Grindelwald, Switzerland, 128-131, 2004. (Pubitemid 40088003)
33. 1 control: The SISO case. Proc. of the 33rd IEEE Conference on Decision and Control, Lake Buena Vista, 3181-3186, 1994.
34. Visioli, A., Practical PID Control. Springer, London, 2006.
35. ∞ control. Proc. of the American Control Conference, San Diego, 2502-2507, 1990.
36. Zhuang, M. and D. P. Atherton, Tuning PID controllers with integral performance criteria. Proceedings of IEE Conference on Control 91, 481-486, 1991. (Pubitemid 21688953)