TY - JOUR TT - EKF Based Generalized Predictive Control of Nonlinear Systems AU - Dilmen, Erdem AU - Beyhan, Selami PY - 2016 DA - December DO - 10.18100/ijamec.268866 JF - International Journal of Applied Mathematics Electronics and Computers PB - PLUSBASE AKADEMİ ORGANİZASYON VE DANIŞMANLIK WT - DergiPark SN - 2147-8228 SP - 148 EP - 154 IS - Special Issue-1 KW - Generalized predictive control KW - ARX KW - dynamic neural network KW - Kalman filter and extended Kalman filter KW - nonlinear systems and adaptive learning rate N2 - In this paper, Autoregressive with exogenous input (ARX) and dynamicneural network (DNN) based generalized predictive control (GPC) methods aredesigned to control of nonlinear systems. ARX and DNN models adaptivelyapproximate the plant dynamics and predict the future behavior of the nonlinearsystem. While control process goes on, the poles of the ARX and DNN models areconstrained in a stable region using a projection operator for structuralstability. Simulation results are given to compare the tracking performances ofthe methods. ARX-GPC and DNN-GPC both yield good tracking performances whilekeeping the changes in control signal as low as possible. The simulationresults show that even though ARX is a linear model, it provides acceptabletracking results as well as DNN model. CR - [1] K.J. Astrom. Theory and applications of adaptive control-a survey. Automatica, 19(5):471 – 486, 1983. CR - [2] Selami Beyhan and Musa Alc. Extended fuzzy function model with stable learning methods for online system identification. International Journal of Adaptive Control and Signal Processing, 25(2):168–182, 2011. CR - [3] D.W. Clarke, C. Mohtadi, and P.S. Tuffs. Generalized predictive control part i. the basic algorithm. Automatica, 23(2):137 – 148, 1987. CR - [4] D W Clarke, C Mohtadi, and P S Tuffs. Generalized predictive control part ii. extensions and interpretations. Automatica, 23(2):149–160, March 1987. CR - [5] Kaynak O Efe M O, Abadoglu E. A novel analysis and design of a neural network assisted nonlinear controller for a bioreactor. International Journal of Robust and Nonlinear Control, 9:799–815, 1999. CR - [6] M. Ghiassi, H. Saidane, and D.K. Zimbra. A dynamic artificial neural network model for forecasting time series events. International Journal of Forecasting, 21(2):341 – 362, 2005. CR - [7] Sanqing Hu and Jun Wang. Global stability of a class of discrete-time recurrent neural networks. Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on, 49(8):1104–1117, Aug 2002. CR - [8] Petros A. Ioannou and Jing Sun. Robust Adaptive Control. Prentice-Hall, Inc., Upper Saddle River, NJ, USA, 1995. CR - [9] Serdar Iplikci. A support vector machine based control application to the experimental three-tank system. ISA Transactions, 49(3):376 – 386, 2010. CR - [10] Liang Jin, Peter N. Nikiforuk, and Madan M. Gupta. Absolute stability conditions for discrete-time recurrent neural networks. IEEE Transactions on Neural Networks, 5(6):954–964, 1994. UR - https://doi.org/10.18100/ijamec.268866 L1 - https://dergipark.org.tr/en/download/article-file/235532 ER -