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Journal > SAINS DAN MATEMATIKA > Penyelesaian Faktorisasi Koprima dengan Algoritma Euclid dan Metode Ruang Keadaan untuk Penentuan Pengendali yang Menstabilkan Sistem

 

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SAINS DAN MATEMATIKA
Volume 20 Nomor 1 Tahun 2012
Penyelesaian Faktorisasi Koprima dengan Algoritma Euclid dan Metode Ruang Keadaan untuk Penentuan Pengendali yang Menstabilkan Sistem
Asmat, Asmat ( Jurusan Matematika FMIPA Universitas Diponegoro Jl. Prof. Soedharto, SH, Semarang 50275)
Widowati, Widowati ( Jurusan Matematika FMIPA Universitas Diponegoro Jl. Prof. Soedharto, SH, Semarang 50275)
Article Info   ABSTRACT
Published date:
24 Mar 2014
 
Stability is the main requirement that must be met on the control system. If the plant from the control system is not stable, then the controller C can be searched so that the feedback system becomes internally stable. Let G be a transfer function represented by G=N/M, where N, M are coprime factorization and element of family of all stable, proper, real rational function. Functions N and M can be found by using Euclidean algorithm and the state space method. Further, we find  controller, C=X/Y that satisfy, NX + MY = I, so that the feedback system is internally stable. To verify the proposed method, numerical examples are given.Keywords: Euclidean algorithm, coprime factorization, state space method, controller, stable
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