حضور تأخیر محدود در سیگنال سوئیچ سیستم‌های سوئیچینگ خطی‌تبار
محورهای موضوعی : مهندسی برق و کامپیوترآرمان صحت نیا 1 , فرزاد هاشم‌زاده 2 , مهدی برادران نیا 3
1 - دانشكده مهندسي برق و كامپيوتر، دانشگاه تبریز
2 - دانشكده مهندسي برق و كامپيوتر، دانشگاه تبریز
3 - دانشكده مهندسي برق و كامپيوتر، دانشگاه تبریز
کلید واژه: سیستم‌های سوئیچینگ خطی‌تبار, سیگنال سوئیچ‌زنی, تأخیر محدود, پایداری عملی لیاپانوف,
چکیده مقاله :
در این مقاله پیامد حضور تأخیر در سیگنال سوئیچ برای سیستم‌های سوئیچینگ خطی‌تبار بررسی می‌شود. ابتدا بر اساس اصول پایداری، روند استخراج سیگنال سوئیچ به‌عنوان تنها ورودی کنترلی بررسی شده و سپس با ارائه مبحث پایداری عملی برای سیستم‌های سوئیچ‌دار، دیدگاه واقع‌گرایانه‌تری نسبت به این سیستم‌ها مطرح می‌شود. تمرکز اصلی مقاله بر روی تأثیر تأخیر در انتقال اطلاعات سیگنال سوئیچ خواهد بود. حضور تأخیر محدود در سیگنال سوئیچ معمولاً ناشی از حجم بالای محاسبات قانون سوئیچ‌زنی و یا هر گونه حمله سایبری است. در این مقاله نتایج پایداری عملی لیاپانوف مربوط به حالات قبل و بعد از حضور تأخیر در سیگنال برای یک سیستم سوئیچینگ خطی‌تبار به صورت تحلیلی و شبیه‌سازی مقایسه می‌شوند. نتایج مقایسه این حالت‌ها نشان‌دهنده آن است که با افزایش تأخیر محدود در سیگنال سوئیچ، کران غایی سیستم هم بزرگ‌تر می‌شود و این به معنی کاهش همگرایی حالت‌های سیستم است. در این راستا نتایج به‌دست‌آمده برای یک مبدل قدرت DC-DC پیاده‌سازی و مقایسه‌های لازم در فصل آخر ارائه می‌شود.
In this article, the consequence of the presence of delay in the switch signal for switched affine systems is investigated. First, based on the principles of stability, the process of extracting the switch law as the only control input is examined, then by presenting the practical stability issue for switched systems, more realistic view of these systems is proposed. The main focus of the article will be on the effect of delay in the transmission of switching signal information. The presence of limited delay in switching signal is usually caused by high volume of switching law calculations or any cyber attacks. In this paper, the practical Lyapunov stability results related to the states before and after the presence of delay in switching signal for a linear switched affine system are compared analytically and simulated. The results of the comparison of these modes show that when the value of delay in switching signal increases, the ultimate limit of the error for system states becomes larger, and this means a decrease in the convergence of the system states. In this regard, the results implemented for a DC-DC power converter and the necessary comparisons are presented in the last chapter.
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