REGULARISASI SISTEM SINGULAR DENGAN OUTPUT UMPAN BALIK u = Fy + v
Keywords:
singular system, regular system, normal system
Abstract
(E,A,B,C,D) as a singular system is given. E, A, B and C are real constant matrices if E=I, I is a identify matrix, then (E,A,B,C) is a normal system. A unique solution of a singular system exists if (E,A) is regular. A singular system which is regular and the index is not more than one can be simplified to a normal system.
The regularization of a singular system by feedback output u = Fy + v is investigated in this paper. Furthermore a sufficient and necessary condition of the existence of F such that (E, A+BFC) is regular and the index is not more than one is represented.
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References
Chu, D. L., Chan, H. C., Ho, D. W. C. Regularization of Singular Systems by Derivative and Proportional Output Feedback SIAM J. Matrix Anal. Appl., 19 (1998), pp. 21-38.
Cullen, C. G. 1996. Matrices and Linear Transformations. London : Addison-Wesley Publishing Company.
Dai, L. 1989. Singular Control Systems, Lecture Notes in Control and Information Sciences 118. Berlin : Springer-Verlag.
Goldberg, J. L. 1991. Matrix Theory with Application. United States of America: McGraw-Hill Inc.
Olsder, G. J. 1944. Mathematical System Theory. Netherlands : Delftse Uitgevers Maatschappij
Cullen, C. G. 1996. Matrices and Linear Transformations. London : Addison-Wesley Publishing Company.
Dai, L. 1989. Singular Control Systems, Lecture Notes in Control and Information Sciences 118. Berlin : Springer-Verlag.
Goldberg, J. L. 1991. Matrix Theory with Application. United States of America: McGraw-Hill Inc.
Olsder, G. J. 1944. Mathematical System Theory. Netherlands : Delftse Uitgevers Maatschappij
Published
2007-03-01
How to Cite
[1]
E. Persulessy, “REGULARISASI SISTEM SINGULAR DENGAN OUTPUT UMPAN BALIK u = Fy + v”, BAREKENG: J. Math. & App., vol. 1, no. 1, pp. 32-37, Mar. 2007.
Section
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