Minimal order deadbeat functional observers for singular 2D linear systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions for the existence of minimal order deadbeat functional observers for singular 2D linear systems described by the general singular 2D model are established. A procedure for computing matrices of the functional observers is given and illustrated by numerical example.

Słowa kluczowe

EN

observers; minimal order observers; functional observers; singular linear systems; 2D systems

PL

obserwatory; obserwator funkcjonalny; system liniowy singularny; system 2D

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2003
• Tom: Vol. 32, no 2
• Strony: 301--311
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Kaczorek T.

• Institute of Control and Industrial Electronics, Faculty of Electrical Engineering, Warsaw University of Technology, Koszykowa 75, 00-662 Warszawa, Poland,

Bibliografia

• CARVALHO, J. B. and DATTA, B.N. (2002) An algorithm for solving generalized Sylvester-observer equation in state estimation of descriptor systems, Proc. IEEE Conf. Decision and Control, 1- 6.
• DAI, L. (1988) Observers for Discrete Singular Systems IEEE Trans. Autom. Contr., AC-33, 2, 187-191.
• DAI, L. (1989) Singular Control Systems. Springer Verlag, Berlin-Tokyo.
• DAROUACH, M. (2000) Existence and Design of Functional Observers for Linear Systems. IEEE Trans. on Automatic Control, 45, 5.
• DAROUACH, M. and BOUDAYEB, M. (1995) Design of observer for descriptor systems. IEEE Trans. Autom. Control, 40, 7, 1323- 1327.
• FAHMY, M.M. and O'REILLY, J. (1989) Observers for descriptor systems. Int. J. Contr., 49, 6, 2013- 2028.
• FORNASINI, E. and MARCHESINI, G. (1976) State space realization of twodimensional filters. IEEE Trans. Autom. Control, AC-21 , 482-491.
• FORNASINI, E. and MARCHESINI, G. (1978) Doubly indexed dynamical systems: State space models and structural properties. Math. Syst. Theory 12.
• KACZOREK, T. (1988) Singular general model of 2-D systems and its solution.
• KACZOREK, T. (1993) Linear Control Systems. Vols. 1, 2. Research Studies Press and J. Wiley, New York.
• KACZOREK, T. (2000) Reduced-order perfect and standard observers for singular continuous-time systems. Machine Intelligence and Robotic Control (MIROC), 2, 3, 93-98.
• KACZOREK, T. (2001a) Perfect observers for singular 2D Fornasini-Marchesini models. IEEE Transactions on Automatic Control, 46, 10, 1671- 1675.
• KACZOREK, T. (2001b) Full-order perfect observers for continuous-time linear systems. Bull. Pol. Acad. Techn. Sci., 49, 4, 549-558.
• KACZOREK, T. (2001c) Perfect observers for singular 2D linear systems. Bull. Pol. Acad. Techn. Sci., 49, 1, 141- 147.
• KACZOREK, T. (2002) 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, 2-5 Sept. Szczecin, 375-380. KLAMKA, J. (1991) Controllability of Dynamical Systems. Kluwer Academic Publ., Dordrecht.
• KUREK, J. (1985) The general state-space model for two-dimensional linear digital system. IEEE Trans. Autom. Contr., AC-30, 600-602.
• LUENBERGER, D.G. (1966) Observers for multivariable systems. IEEE Trans. Autom. Contr. AC-11, 190-197.
• MINAMIDE, M., ARII, N. and UETAKE, Y. (1989) Design of Observers for descriptor systems using a descriptor standard form. Int. J. Contr., 50, 8, 2141-2149.
• PARASKEVOPOULOS, P.N. and KOUMBOULIS, F .N. (1992a) Observers for singular systems. IEEE Trans. Autom. Contr., 37, 8, 1211-1215.
• PARASKEVOPOULOS, P.N. and KOUMBOULIS, F.N. (1992b) Unified approach to observers for regular and singular systems. IEEE Proc. D, 138, 561-572.
• O'REILLY, J. (1979) Observer design for the minimum time state reconstruction of linear discrete-time systems. Trans of ASME, 101, 330-354.
• O'REILLY, J. (1983) Observers for Linear Systems. London, Academic Press.
• ROESSER, P.R. (1975) A discrete state-space model for linear image processing. IEEE Trans. Autom. Contr., AC-20, 1, 1- 10.
• SHAFAI, B. and CAROLL, R.L. (1987) Design of minimal order observers for singular systems. Int. J. Contr., 45, 3, 1075-1081.
• EL-TOHAMI, J.M., LOVASS-NAGY, V. and MUKUNDAN, R. (1983) On the design of observers for generalized state space systems using singular value decomposition. Int. J. Contr., 38, 3, 673-683.
• EL-TOHAMI, M., LOVASS-NAGY, V. and POWERS, D.L. (1984) An input function observers for generalized state-space systems. Int. J. Contr., 40, 5, 903- 922.
• TSUI, C.C. (1985) A new algorithm for design of multifunctional observers. IEEE Trans. Autom. Contr., AC-30, 89-93. Minimal order deadbeat functional observers. IEEE Trans,Autom. Contr., AC-30, 89-93.
• TSUI, C. C. (1986) On the order reduction of linear function observers. IEEE 'Irans. Autom. Contr., AC-31, 447- 449.
• TSUI, C.C. (1998) What is the minimum function observer order? Journal of The Franklin Institute, 335, 4, 623-628.
• VERHAEGEN, M. and VAN DO OREN, P. (1986) A reduced observer for descriptor systems. Syst. Contr. Lett., 7, 5, 29-31.
• WANG, C. and DAr, L. (1986) The normal state observer in singular systems. J. Syst. Sci. Math. Sci., 6, 4, 307- 313.
• WATSON, T. and GRIGORIADIS, K.M. (1998) Optimal unbiased filtering via linear matrix inequalities. Syst. Contr. Lett., 35, 111-118.