On robust PID control for time-delay plants
作者： Wieslaw Krajewski , Umberto Viaro
DOI: 10.1109/MMAR.2012.6347828
关键词: Control theory 、 Crossover 、 Robustness (computer science) 、 Parameter space 、 PID controller 、 LTI system theory 、 Software 、 Robust control 、 Engineering 、 Ellipse
摘要: This paper presents an easily implementable method for determining the set of PID controllers that stabilize LTI system with or without a time delay while satisfying certain robustness requirements. The adopted approach, which does not require approximating solving complex non-algebraic equations, draws directly on graphic approach suggested in [1], [2], [3] PI and first-order-plus-dead-time processes. In particular, it is shown that, suitable cross sections parameter space, boundary regions where given H ∞ margin ensured envelope families ellipses whose centres lie stability boundary. loci constant crossover frequencies, strictly related to achievable passbands, are also displayed. technique applied some benchmark examples aid dedicated software.
sci-hub.se 参考文章(11)
H. Xu, A. Datta, S.P. Bhattacharyya, PID stabilization of LTI plants with time-delay conference on decision and control. ,vol. 4, pp. 4038- 4043 ,(2003) , 10.1109/CDC.2003.1271782
F. Blanchini, A. Lepschy, S. Miani, U. Viaro, Characterization of PID and Lead/Lag Compensators Satisfying Given<tex>$cal H_infty$</tex>Specifications IEEE Transactions on Automatic Control. ,vol. 49, pp. 736- 740 ,(2004) , 10.1109/TAC.2004.825961
Nusret Tan, Computation of stabilizing PI and PID controllers for processes with time delay ISA Transactions. ,vol. 44, pp. 213- 223 ,(2005) , 10.1016/S0019-0578(07)90000-2
Wieslaw Krajewski, Antonio Lepschy, Stefano Miani, Umberto Viaro, Frequency-domain approach to robust PI control Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 342, pp. 674- 687 ,(2005) , 10.1016/J.JFRANKLIN.2005.04.003
Norbert Hohenbichler, Brief paper: All stabilizing PID controllers for time delay systems Automatica. ,vol. 45, pp. 2678- 2684 ,(2009) , 10.1016/J.AUTOMATICA.2009.07.026
Tooran Emami, John M. Watkins, Complementary Sensitivity Design of PID Controllers for Arbitrary-Order Transfer Functions With Time Delay ASME 2008 Dynamic Systems and Control Conference, Parts A and B. pp. 747- 753 ,(2008) , 10.1115/DSCC2008-2205
B. S. Nesimioglu, M. T. Soylemez, A simple derivation of all stabilizing proportional controllers for first order time-delay systems Asian Journal of Control. ,vol. 14, pp. 598- 604 ,(2012) , 10.1002/ASJC.318
W. Krajewski, A. Lepschy, U. Viaro, Designing PI controllers for robust stability and performance IEEE Transactions on Control Systems and Technology. ,vol. 12, pp. 973- 983 ,(2004) , 10.1109/TCST.2004.833619
John M. Watkins, Tooran Emami, A unified approach for sensitivity design of PID controllers in the frequency domain WSEAS Transactions on Systems and Control archive. ,vol. 4, pp. 221- 231 ,(2009)
W. Krajewski, A. Lepschy, S. Miani, U. Viaro, Robustness Analysis of Frequency-Domain PI Controller Design Procedures Springer, Vienna. pp. 585- 592 ,(2002) , 10.1007/978-3-7091-2555-7_67