Optimal Criteria for Non-Minimal Phase Plants

The paper describes the evaluation of quality of control for cases of controlled non-minimal phase plants. Control circuits containing non-minimal phase plants have different properties, they manifest reversed reaction at the beginning of unit step response. For these types of plants are developed special criterion of quality of control, which considers the difference and can be helpful for synthesis of optimal controller tuning. All results are clearly presented using Matlab/Simulink models.




References:
[1] M. Fliess, H. Ramirez, R. Marquez, "Regulation of non minimum phase
outputs: a flatness approach", In Perspectives in Control Theory &
Applications, Colloquim in Honor of I. D. Landau, Paris, Springer-
Verlag, Berlin 1998
[2] K. J. Astrom, "Direct methods for non-minimum phase systems", In
19th IEEE Conference on Decision and Control including the
Symposium on Adaptive Processes, vol.19, pp.611-615, Dec. 1980
[3] M. Benosman, F. Liao, K.-Y. Lum and J. Liang Wang, "Nonlinear
Control Allocation for Non-Minimum Phase Systems", In IEEE
Transactions on Control Systems Technology, vol.17, no.2, pp.394-404,
Mar. 2005
[4] G. F. Franklin, D. G. Powell, A. Neini, Feedback Control of Dynamic
Systems, 6th edn, Prentice Hall PTR, Upper Saddle River, USA, 2010.
[5] K. J. Astrom, "Direct methods for non-minimum phase systems", In
19th IEEE Conference on Decision and Control including the
Symposium on Adaptive Processes, vol.19, pp.611-615, Dec. 1980
[6] R. Matousek, Z. Karpisek, "Exotic Metrics for Function
Approximation", In 17th International Conference on Soft Computing -
MENDEL 2011, pp. 560 565, June 2011
[7] P. Popela. J. Dupacova, "Melt Control: Charge Optimization via
Stochastic Programming". In W. Zieamba. et al. (eds.): Applications of
Stochastic Programming. Chapter 15. pp. 277-289 , SIAM, 2005
[8] R. Grepl. J. Vejlupek. V. Lambersky. M. Jasansky. F. Vadlejch. P.
Coupek. P. "Development of 4WS/4WD Experimental Vehicle: platform
for research and education in mechatronics". IEEE International
Conference on Mechatronics. ICM 2011-13-15, 2011.
[9] Z. Oplatkova, R. Senkerik, I. Zelinka, "Synthesis of Control Rule for
Synthesized Chaotic System by means of Evolutionary Techniques", in
16th Int. Conference on Soft Computing, pp.91-98, Brno, 2010.