Characteristic Functions Assignment by Adding Perturbation

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Shahmansoorian Aref; Ahmadi Peyman

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Journal Paper

Paper Information

Journal: Mathematics Interdisciplinary Research Year:2023 | Volume:8 | Issue:4 Page(s): 359-367

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Title

Characteristic Functions Assignment by Adding Perturbation

Author(s)

Shahmansoorian Aref | Ahmadi Peyman | Issue Writer Certificate

Keywords

Characteristic function assignment‎

‎Commutative compensator‎

‎Irrational characteristic function

Abstract

‎This paper presents a method for characteristic function assignment on rational functions by adding perturbation in systems with irrational characteristic functions‎. ‎Generally‎, ‎in systems with irrational characteristic loci‎, ‎commutative compensator designs are not possible‎. ‎Irrational characteristic functions have different forms‎. ‎In our previous work‎, ‎mentioned in the introduction section‎, ‎a form of these characteristic functions was presented‎. ‎Another form of irrational characteristic functions is considered in this paper‎. ‎This approach is not based on the transfer function inverting‎, ‎and characteristic loci are not used directly in the design process‎. ‎The efficacy of the proposed approach is investigated through two numerical examples‎.

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