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Vol: 52(66) No: 3 / September 2007 Design Procedures for Interpolative Blocks used as Controllers with Robustness Properties Sanda Dale Department of Automation and Drives, University of Oradea, Faculty of Electric Engineering and Information Technology, Str. Universitatii nr. 1, 410087 Oradea, Romania, phone: 0040-259-408235, e-mail: sdale@uoradea.ro Keywords: interpolation, interpolative controller, improvements in performance, robustness. Abstract Interpolative controllers can replace a large category of controllers in a relative easy manner, bringing the advantage of simplicity (reduced calculus amount, reduced time, easy implementation etc), due to the intrinsic features of interpolation as mathematical operation. Other strong points of the interpolative controllers implemented as interpolation tables (look-up tables) are: 1 - the possibility to design a new controller, with improvable performances, starting from an already existing one; 2 – the possibility to develop a controller with robustness properties in a quite easy way. In the paper, both directions are underlined on a study case. References [1] Choi, B.-J., Kwak, S.-W., Kim, B.K. “Design and stability analysis of single-input fuzzy controller”, IEEE Transactions on Systems, Man and Cybernetics, part B: Cybernetics, vol.30/2, pp. 303-309, 2000. [2] Dragomir, T.L., Dale, S. “Cases of using interpolator type blocks in control structures”, Proceedings of SACCS’01, Iaşi, CD, 2001. [3] Dragomir, T.L., Dale, S., Bălaş, M.M. “Some aspects regarding interpolative structures”, Proceedings of IWICS’01, Bucureşti, pp. 6-19, 2001. [4] Drechsel, D. “Regelbasierte Interpolation und fuzzy control”, Vieweg, 1996. [5] Palm, R. “On the compatibility of fuzzy control and conventional control techniques”, from “Fuzzy logic – Implementation and Applications”, edited by M.J. Patira and D.M. Mlynek, Wiley-Teubner, pp. 63-105. [6] Dale, S. “Contribuţii la studiul sistemelor de reglare cu regulatoare de tip interpolativ”, Editura Politehnica, Timişoara, 2006. [7] Zadeh, L.A. “Interpolative reasoning as a common basis for inference in fuzzy logic, neural network theory and the calculus of fuzzy If/Then rules”, Opening Talk, 2nd International conference on fuzzy logic and neural networks, Iizuka, pp. XIII-XIV, 1992. [8] Kóczy, L.T. and Hirota, K. “Approximate reasoning by linear rule interpolation and general approximation”, Internat. J. Approx. Reason. 1993/9, pp. 197-225, 1993. [9] Dubois, D., Prade, H. and Grabisch, M. “Gradual rules and the aproximation of control laws”, John Wiley & Sons, pp.147-183, 1995. [10] Åström, K.J. and B. Wittenmark, “Computer controlled systems – analysis and design”, Prentice Hall, 1997. [11] S. Dale, “Interpolative Controllers Designing Procedures based on Fuzzy Controllers with Synthetic Input”, EMES’07, Analele Universităţii din Oradea, fascicola Electrotehnică, pp. 168-173. Manuscript received July 30, 2007; revised August 28, 2007; accepted for publication September 19, 2007. |