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Journal : Jurnal technoscientia

PENERAPAN PENEMPATAN NILAI EIGEN INFINITE SISTEM SINGULAR PADA PENYELESAIAN PERSAMAAN POLINOMIAL MATRIKS BERBENTUK [Es – A] X + B Y = U(s) Suryowati, Kris; Setyawan, Yudi
JURNAL TEKNOLOGI TECHNOSCIENTIA Technoscientia Vol 5 No 1 Agustus 2012
Publisher : Lembaga Penelitian & Pengabdian Kepada Masyarakat (LPPM), IST AKPRIND Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (401.265 KB) | DOI: 10.34151/technoscientia.v5i1.512

Abstract

Problem of solvability of polynomial equations and matrix eigenvalue relation to the placement of an infinite state-feedback is important to learn because it deals with the properties of dynamic and static systems. In this case discussed the problem with putting the infinite eigenvalue decomposition of the standard, then the results are applied to problem solving matrix polynomial equations. On eigenvalue placement or placement of the poles, the problem is determining the state feedback matrix K such that det [Es - A + BK] = a ≠ 0, in a and s with each other independent. Singular linear system that has an infinite eigenvalue will be formed in such infinite eigenvalues ​​are placed so that the system has no eigenvalues ​​of infinite state by providing appropriate feedback. Problems on infinite eigenvalue assignment can be attributed to the determination of polynomial equation solution in the form of matrix [Es - A] X + BY = U(s) for a matrix U(s) with detU(s) = a, so that necessary and sufficient conditions of
ANALISIS OBSERVASI KEADAAN SISTEM SINGULAR LTI ATAS DEKOMPOSISI STANDAR Suryowati, Kris
JURNAL TEKNOLOGI TECHNOSCIENTIA Academia Ista Vol 11 Edisi Khusus Oktober 2006
Publisher : Lembaga Penelitian & Pengabdian Kepada Masyarakat (LPPM), IST AKPRIND Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (219.46 KB)

Abstract

The singular system LTI is called linear singular system time invariant which its not be influence of the time changes. It is assumed to be the system is regular and rank E< n, so can be transform to form the standard decomposition. Furthermore, we discuss characterization the singular state observer and there is determine the necessary and sufficient condition for the state observer singular of system. Suppose that first sub systems in the decomposition standard system is observable. Then singular system LTI has a singular state observer. Singular system has a singular state observer if and only if it is detectable.