Robust Predictive Controller Based on GOBF Modeling and LMIs Techniques for MISO Systems
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We propose in this paper an algorithm for robust predictive control for Multi-Inputs Single-Output (MISO) systems decomposed on Generalized Orthonormal Basis Functions (GOBF). A min-max optimisation problem is solved by introducing techniques of Linear Matrix Inequalities (LMIs) where the constraints interest the measurement signals and the parameter uncertainties of the model coefficients. The uncertainty parameter domain is an ellipsoid that can be updated by applying Unknown But Bounded Error (UBBE) approaches.
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B. Ninness and F. Gustafsson, A unifying construction of orthonormal bases for system identification, IEEE Transactions on Automatic Control, Vol. 42(Issue 4) 515-521, April 1997.
P.S.C. Heuberger, P.M.J. Van den Hof, and O.H. Bosgra, A generalized orthonormal basis for linear dynamical systems, IEEE Transactions on Automatic Control, Vol. 40(Issue 3):451-465, March 1995.
A. Douik, J. Ghabi and H. Messaoud, Robust Predictive Control using a GOBF for MISO systems, International Journal of Computers, Communications and Control, Vol. 2(Issue 4):355-366, 2007.
A. Douik, J. Ghabi and H. Messaoud, A Robust Predictive Control for a MISO System using a GOBF, In Proceedings of the 14th IEEE International Conference on Electronics, Circuits and Systems (ICECS’07), pp. 459-462, Marrakech, Morocco, December 2007.
J. Ghabi, A. Douik and H. Messaoud, New Methods of Modelling and Parameter Estimation for MIMO linear Systems using Generalized Orthonormal Basis Functions, WSEAS Transactions on Systems and Control, Vol. 2(Issue 2):133-140, 2007.
S. Boyd, L. El Gahoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, SIAM Studies in Applied Mathematics, Vol. 15, Philadelphie, 1994.
P. Apkarian and H.D. Tuan, Parameterized LMIs in control theory, SIAM Journal on Control and Optimization, Vol. 38(Issue 4):1241-1264, 2000.
M. V. Kothare, V. Balakrishnan, and M. Morari, Robust constrained model predictive control using linear matrix inequalities, Automatica, 32: 1361-1379, 1996.
D. Jia, B. H. Krogh, and O. Stursberg, LMI Approach to Robust Predictive Control, Journal of optimization theory and applications, Vol. 127(Issue 2):347-365, 2005.
J. Ghabi, A. Douik and H. Messaoud, A New Technique of Poles Estimation for Generalized Orthonormal Basis Functions, WSEAS Transactions on Systems and Control, Vol.2(Isuue 2):125-132, 2007.
G. Favier and L. Arruda, Bounding Approaches to system identification (Plenum Press, New York, 1996, pp. 43-68).
H. Messaoud and G. Favier, Recursive determination of parameter uncertainty intervals for linear models with unknown but bounded errors, In Proceedings of the 10th IFAC Symposium on System Identification (SYSID’94), pp. 365-370, Copenhagen, Denmark, 1994.
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