, (10) де Wп (p) – передатна функція прямої гілки;
Wзз (p) – передатна функція гілки зворотного зв'язку. Знаходимо ПФ замкненої САР Wзамк(p), використовуючи для цього формулу:
(11) Оскільки в САР використано НЗЗ, у формулі (11) залишаємо знак «+» у знаменнику.
Підставивши у формулу (11) значення Wп(p) та Wзз(p) отримаємо вираз для розрахунку Wзамк(p)
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)
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)
(12) Знаменник виразу (12) – це характеристичний поліном замкненої системи:
(13) Прирівняємо до нуля характеристичний поліном і таким чином отримаємо придатне до аналізу характеристичне рівняння замкненої системи:
(14)
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