A Novel Approach to Design of Minimal Order Functional Observers for Singular Linear Systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

A novel approach to design of minimal order functional observers for singular linear systems is proposed. A procedure for computation of matrices of the minimal order functional observers is presented and illustrated by numerical example.

Słowa kluczowe

EN

design; minimal order functional observer; singular; linear system

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2003
• Tom: Vol. 51, nr 2
• Strony: 181--188
• Opis fizyczny: bibliogr. 27 poz.

Twórcy

autor

Kaczorek T.

• Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, 00-662 Warszawa, Poland (Instytut Sterowania i Elektroniki Przemysłowej, Politechnika Warszawska)

Bibliografia

• [1] J. B. Carvalho, B. N. Datta, An algorithm for generalized Sylvester-observer equation in state estimation of descriptor systems, Prof. IEEE Conf. Decision and Control (2002) 1-6.
• [2] L. Dai, Observersfor discrete singular systems, IEEE Trans. Autom. Contr., AC-33, 2, (Febr. 1988) 187-191.
• [3] L. Dai, Singular control systems, Springer Verlag, Berlin-Tokyo 1989.
• [4] M. Darouach, Existence and design of functional observers for linear systems, IEEE Trans. on Automatic Control, 45, 5, (May 2000).
• [5] M. Dorouach, M. Boudayeb, Design of observer for descriptor systems, IEEE Trans. Autom. Control, 40, 7, (1995) 1323-1327.
• [6] M. M. Fahmy, J. O’Reilly, Observers for descriptor systems, Int. J. Contr., 49, 6, (1989) 2013-2028.
• [7] T. Kaczorek, Linear control systems, Vol. 1,2, Research Studies Press and J. Wiley, New York 1993.
• [8] T. Kaczorek, Perfect observers for singular 2D Fornasini-Marchesini models, IEEE Transactions on Automatic Control, 46, 10, (2001) 1671-1675.
• [9] T. Kaczorek, Reduced - order perfect and standard observers for singular continuous-time systems, Machine Intelligence and Robotic Control (MIROC), 2, 3, (2000) 93-98.
• [10] T. Kaczorek, Full-order perfect observers for continuous-time linear systems, Bull. Pol. Ac.: Tech., 49, 4, (2001) 549-558.
• [11] T. Kaczorek, Perfect observers for singular 2D linear systems, Bull. Pol. Ac.: Tech., 49, 1, (2001) 141-147.
• [12] T. Kaczorek, A new design method of minimal order functional observers for linear discrete-time systems, 8th IEEE International Conference on Methods and Models in Automation and Robotics, MMAR, 2002, Szczecin (2-5 Sept. 2002) 375-380.
• [13] D. G. Luenberger, Observers for multivariable systems, IEEE Trans. Autom. Contr., AC-11 (1966) 190-197.
• [14] M. Minamide, N. Arii, Y. Uetake, Design of observers for descriptor systems using a descriptor standard form, Int. J. Contr., 50, 8, (1989) 2141-2149.
• [15] P. N. Paraskevopoulos, F. N. Koumboulis, Observers for singular systems, IEEE Trans. Autom. Contr., 37, 8, (1992) 1211-1215.
• [16] P. N. Paraskevopoulos, F. N. Koumboulis, Unifying approach to observers for regular and singular systems, IEEE Proc. D, 138 (1992) 561-572.
• [17] J. O’Reilly, Observer design for the minimum time state reconstruction of linear discrete-time systems, Trans. on ASME, 101 (1979) 330-354.
• [18] J. O’Reilly, Observers for linear systems, London: Academic 1983.
• [19] B. Shafai, R. L. Caroll, Design of minimal order observers for singular systems, Int. Contr., 45, 3, (1987) 1075-1081.
• [20] J. M. El-Tohami, V. Lovass-Nagy, R. Mukundan, On the design of observers for generalized state space systems using singular value decomposition, Int. J. Contr., 38, 3, (1983) 673-683.
• [21] M. El-Tohami, V. Lovass-Nagy, D. L. Powers, In input function observers for generalized state - space systems, Int. J. Contr., 40, 5, (1984) 903-922.
• [22] C. C. Tsui, What is the minimum function observer order?, Journal of The Franklin Institute, 335, 4, (May 1998) 623-628.
• [23] C. C. Tsui, A new algorithm for design of multifunctional observers, IEEE Trans. Autom. Contr., AC-30 (1985) 89-93.
• [24] C. C. Tsui, On the order reduction of linear function observers, IEEE Trans. Autom. Contr., AC-31 (1986) 447-449.
• [25] M. Verhaege n, P. Van Dooren, A reduced observer for descriptor systems, Syst. Contr. Lett., 7, 5, (1986) 29-31.
• [26] C. Wang, L. Dai, The normal state observer in singular systems, J. Syst, Sci. Math. Sci., 6, 4, (1986) 307-313.
• [27] T. Watson, K. M. Grigoriadis, Optimal unbiased filtering via linear matrix inequalities, Syst. Contr. Lett., 35 (1998) 111-118.