TY  - JOUR
T1  - FAST CALCULATION OF ALL STABILIZING GAINS FOR DISCRETE-TIME SYSTEMS
AU  - Bayhan, Nevra
AU  - Söylemez, Mehmet Turan
PY  - 2012
DA  - January
JF  - IU-Journal of Electrical & Electronics Engineering
PB  - İstanbul University-Cerrahpasa
WT  - DergiPark
SN  - 1303-0914
SP  - 19
EP  - 26
VL  - 6
IS  - 1
LA  - en
AB  - In this paper, two methods for calculating all stabilizing gains for discrete-time systems are given. The first method focuses on converting the problem using a bilinear transformation and then applying a previously developed theorem for continuous time systems. Unlike previous results, the method introduced here does not use the Generalised Hermite-Biehler Theorem and therefore provides a computational advantage. The second method demonstrates the use of Chebyshev Polynomials in the solution of the problem
KW  - Bilinear Transformation
KW  - Nyquist’s Criterion
KW  - Chebyshev Polynomials
CR  - Ackermann, J., Kaesbauer, D., Bajcinca, N., “Discrete-Time Robust PID And Three Term Control”, XV IFAC World Congress, Barcelona, Datta, A., Ho, M.T., Bhattacharyya S.P., Structure and Synthesis of PID Controllers, Springer, London, UK, 2000.
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UR  - https://dergipark.org.tr/en/pub/iujeee/issue//116777
L1  - https://dergipark.org.tr/en/download/article-file/99028
ER  -