بهبود کنترل‌کنندة PI چندمتغیرة بهرة بالا برای یک سیستم نامنظم به‎کمک الگوریتم ژنتیک

نوع مقاله: مقاله پژوهشی

نویسندگان

دانشگاه فردوسی مشهد

چکیده

این مقاله یک ساختار بهینة برای کنترل‌کنندة PI چندمتغیرة بهرة بالا برای یک سیستم نامنظم به کمک الگوریتم ژنتیک ارایه می‎دهد. کنترل‎کننده‎های PI بهرة بالا منجر به تجزیة مجانبی به مودهای سریع و کُند در سیستمی حلقه بسته با ویژگی منحصر به فرد می‎شوند. مودهای کُند سیستم، به‎طور مجانبی کنترل‎ناپذیر و رؤیت‎ناپذیر می‎شوند و بنابراین در رفتار ورودی و خروجی نقشی ندارند. از این رو پاسخ حلقه بسته تنها از قطب‎های سریع متأثر بوده و بنابراین پاسخ‎دهی سیستم سریع خواهد بود. طراحی این کنترل‌کننده به اولین پارامتر مارکوف سیستم چندمتغیره، یعنی ماتریس CB بستگی دارد؛ در صورتی‎که ماتریس CB رتبة کامل نباشد، از ماتریس اندازه‌گیری M با فیدبک داخلی استفاده می‌شود. در این ساختار، ماتریس اندازه‌گیری به‎کمک الگوریتم ژنتیک طوری انتخاب می‌شود تا سیستم حلقه بسته پایدار و تداخل بین خروجی‌ها حداقل شود. این تحقیق بر روی دو نمونه سیستم پیاده‌سازی شده است. از مقایسه نتایج مشاهده می‌شود، پاسخ زمانی کنترل‎کنندة PI بهرة بالا به‎کمک الگوریتم ژنتیک بهتر از نتایج مقایسه با روش‎های دیگر است.

عنوان مقاله [English]

Improving of Multivariable PI Controller with a High Gain Structure for an Irregular System by Genetic Algorithm

نویسندگان [English]

  • Seyyed Abed Hosseini
  • Mohammad Bagher Naghibi Sistani
Ferdowsi University of Mashhad
چکیده [English]

This paper describes an optimal design for multivariable PI controller with a high gain structure for an irregular system by genetic algorithm. PI controllers with a high gain structure leads to the asymptotic decomposition of the fast and slow modes in the closed loop system that have unique characteristics. The slow modes are asymptotically uncontrollable and unobservable; therefore, they have not role in input and output behavior. The closed-loop response is affected only from rapid poles; therefore, the system response will have quick behavior. An essential requirement of this design is that the first Markov parameter of multivariable system (the matrix product CB) must have full rank. If the CB matrix is not full rank, the measurement matrix (M) is used with internal feedback. In this structure, the measurement matrix is chosen using genetic algorithm in order to reach the stable closed-loop system and minimize interference between outputs. The research is implemented on the two kind of different systems. The results show that the response time of PI controller with a high gain structure by genetic algorithms has good behavior in comparison with other methods.

کلیدواژه‌ها [English]

  • Genetic algorithm
  • irregular system
  • PI controllers
  • multivariable system
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