Stable and convergent iterative feedback tuning of fuzzy controllers for discrete-time SISO systems
作者： Radu-Emil Precup , Mircea-Bogdan Rădac , Marius L Tomescu , Emil M Petriu , Stefan Preitl
DOI: 10.1016/J.ESWA.2012.07.023
关键词: Discrete time and continuous time 、 Lyapunov function 、 Stability (learning theory) 、 Fuzzy control system 、 Control theory 、 Convergence (routing) 、 Mathematics 、 Servomechanism 、 Fuzzy logic 、 Affine transformation
摘要: This paper proposes new stability analysis and convergence results applied to the Iterative Feedback Tuning (IFT) of a class Takagi-Sugeno-Kang proportional-integral-fuzzy controllers (PI-FCs). The is based on convenient original formulation Lyapunov's direct method for discrete-time systems dedicated input affine Single Input-Single Output (SISO) systems. An IFT algorithm which sets step size guarantee suggested. inequality-type condition derived from Popov's hyperstability theory considering parameter update law as nonlinear dynamical feedback system in space iteration domain. IFT-based design low-cost PI-FC case study deals with angular position control current servo laboratory equipment viewed particular SISO system. A comparison performance tuned by an evolutionary-based optimization shows improvement advantages our approach fuzzy control. Real-time experimental are included.
sci-hub.se 参考文章(64)
Sönke Thomsen, Nils Hoffmann, Friedrich Wilhelm Fuchs, PI Control, PI-Based State Space Control, and Model-Based Predictive Control for Drive Systems With Elastically Coupled Loads—A Comparative Study IEEE Transactions on Industrial Electronics. ,vol. 58, pp. 3647- 3657 ,(2011) , 10.1109/TIE.2010.2089950
Antonio Sala, Thierry Marie Guerra, Robert Babuška, Perspectives of fuzzy systems and control Fuzzy Sets and Systems. ,vol. 156, pp. 432- 444 ,(2005) , 10.1016/J.FSS.2005.05.041
Sašo Blažič, Igor Škrjanc, Samo Gerkšič, Gregor Dolanc, Stanko Strmčnik, Mincho B. Hadjiski, Anna Stathaki, Online fuzzy identification for an intelligent controller based on a simple platform Engineering Applications of Artificial Intelligence. ,vol. 22, pp. 628- 638 ,(2009) , 10.1016/J.ENGAPPAI.2009.03.002
A. Kruszewski, R. Wang, T. M. Guerra, Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach IEEE Transactions on Automatic Control. ,vol. 53, pp. 606- 611 ,(2008) , 10.1109/TAC.2007.914278
P. Baranyi, Yeung Yam, A.R. Varkonyi-Koczy, R.J. Patton, P. Michelberger, M. Sugiyama, SVD-based complexity reduction to TS fuzzy models IEEE Transactions on Industrial Electronics. ,vol. 49, pp. 433- 443 ,(2002) , 10.1109/41.993277
K. Tanaka, H. Yoshida, H. Ohtake, H.O. Wang, A Sum-of-Squares Approach to Modeling and Control of Nonlinear Dynamical Systems With Polynomial Fuzzy Systems IEEE Transactions on Fuzzy Systems. ,vol. 17, pp. 911- 922 ,(2009) , 10.1109/TFUZZ.2008.924341
A. Nafaa, Y. Hadjadj-Aoul, A. Mehaoua, On interaction between loss characterization and forward error correction in wireless multimedia communication international conference on communications. ,vol. 2, pp. 1390- 1394 ,(2005) , 10.1109/ICC.2005.1494573
J. Sjöberg, F. De Bruyne, M. Agarwal, B.D.O. Anderson, M. Gevers, F.J. Kraus, N. Linard, Iterative Controller Optimization for Nonlinear Systems Control Engineering Practice. ,vol. 11, pp. 1079- 1086 ,(2003) , 10.1016/S0967-0661(02)00231-9
H�kan Hjalmarsson, Iterative feedback tuning-an overview International Journal of Adaptive Control and Signal Processing. ,vol. 16, pp. 373- 395 ,(2002) , 10.1002/ACS.714
P. Baranyi, P. Korondi, H. Hashimoto, M. Wada, Fuzzy inversion and rule base reduction international conference on intelligent engineering systems. pp. 301- 306 ,(1997) , 10.1109/INES.1997.632435