دوره 13، شماره 3 - ( مجله کنترل، جلد 13، شماره 3، پاییز 1398 )
جلد 13 شماره 3,1398 صفحات 15-27 |
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Cheraghi Shami F, Gharaveisi A A, M. Farsangi M, Mohammadian M. Enlarging Domain of Attraction for a Special Class of Continuous-time Quadratic Lyapunov Function Piecewise Affine Systems based on Discontinuous Piecewise. JoC. 2019; 13 (3) :15-27
URL: http://joc.kntu.ac.ir/article-1-514-fa.html
URL: http://joc.kntu.ac.ir/article-1-514-fa.html
چراغی شامی فریده، قره ویسی علی اکبر، مغفوری فرسنگی ملیحه، محمدیان محسن. توسعه ناحیه جذب کلاس خاصی از سیستم های قطعه ای آفاین زمان-پیوسته بر اساس تابع لیاپانوف قطعه‌ای مجذوری ناپیوسته. مجله کنترل. 1398; 13 (3) :15-27
1- دانشگاه شهید باهنر کرمان
چکیده: (635 مشاهده)
: این مقاله به ارائه روش جدیدی جهت تخمین و توسعه ناحیه جذب سیستم های قطعه ای آفاین دوبعدی زمان-پیوسته پرداخته است. تاکنون برای تخمین و توسعه ناحیه جذب سیستم¬های قطعه¬ای آفاین زمان-پیوسته از توابع لیاپانوف پیوسته گوناگونی استفاده شده است. در روش پیشنهادی، در قالب نگاهی نو و به‌کمک تابع لیاپانوف قطعه¬ای مجذوری ناپیوسته، ناحیه جذب سیستم حول مبدأ مختصات با طراحی کنترل‌کننده فیدبک حالت توسعه می‌یابد. در این مقاله نشان داده می‌شود که شرط پیوستگی تابع لیاپانوف بر روی مرز سلول ها، محافظه-کاری تخمین ناحیه جذب سیستم را افزایش می دهد و تصحیح این شرط، قابلیت جستجوی قدرتمندتری را به الگوریتم تخمین ناحیه جذب می‌بخشد. نتایج شبیه سازی گویای برتری روش پیشنهادی نسبت به روش مبتنی بر تابع لیاپانوف پیوسته است به‌نحوی‌که با استفاده از این روش، ناحیه جذب بزرگتری نسبت به روش پیوسته متناظرش بدست آمده است.
واژه‌های کلیدی: ناحیه جذب، سیستم های قطعه ای آفین زمان-پیوسته، کنترل‌کننده فیدبک حالت، تابع لیاپانوف قطعه ای مجذوری ناپیوسته
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