تحلیل جبری پایداری و بررسی امکان وجود کنترل‌کننده تناسبی جهت پایدارسازی: وجود نقطه عطف بحرانی در دیاگرام فاز
محورهای موضوعی : مهندسی برق و کامپیوترخشایار نشاط 1 , محمد صالح تواضعی 2
1 - دانشگاه صنعتی شریف
2 - دانشگاه صنعتی شریف
کلید واژه: روش‌های جبری در تحلیل پایداریپایدارسازی تناسبیپاسخ فرکانسی,
چکیده مقاله :
این مقاله به مسأله تحلیل جبری پایداری و بررسی امکان وجود کنترل‌کننده تناسبی جهت پایدارسازی بر اساس اطلاعات پاسخ فرکانسی می‌پردازد. در ابتدا نشان داده خواهد شد که استفاده از نتایج موجود در این زمینه در حالت خاصی که دیاگرام فاز سیستم حلقه باز در مسأله تحلیل جبری پایداری یا دیاگرام فاز پروسه در مسأله پایدارسازی به کمک کنترل‌کننده‌های تناسبی دارای نقطه عطف بحرانی است، می‌توانند منجر به برداشت‌هایی ناسازگار شود. سپس برای حل مشکل ناسازگاری ذکرشده، اصلاحاتی پیشنهاد خواهد شد. در نهایت نیز به صورت تحلیلی شرایطی برای وجود نقطه عطف بحرانی در دیاگرام فاز یک سیستم دینامیکی استخراج می‌شود.
This paper deals with algebraic stability analysis and investigating the existence of proportional stabilizing controllers on the basis of frequency response data. Firstly, it is shown that using the available results in this subject may yield in inconsistent subsequences in the cases that there is a critical inflection point in phase diagram of the open-loop/process transfer function. Then, to solve this inconsistency problem some modifications are proposed. Finally, conditions for ensuring the existence of critical inflection point in phase diagram of a dynamical system are analytically found.
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