تعیین آنلاین ماتریس‌ وزنی کنترلر LQR با استفاده از ناظر فازی تحت رکوردهای زمین‌لرزه مصنوعی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، دانشگاه صنعتی شاهرود، شاهرود، ایران

2 دانش‌آموخته کارشناسی ارشد، دانشگاه مراغه، مراغه، ایران

3 دانشیار، دانشکده مهندسی عمران، دانشگاه صنعتی شاهرود، شاهرود، ایران

چکیده

یکی از مسائل اساسی در استفاده از کنترل بهینه خطی مرتبه دوم (LQR)، تنظیم مقادیر ماتریس‌های وزنی آن می‌باشد که بر اساس سعی و خطا و استفاده از الگوریتم‌های بهینه‌یابی فراکاوشی تعیین می‌گردند. در صورت وجود عدم قطعیت پارامتری و نویز در حس‌گرها عملکرد این کنترلر دچار اختلال می‌شود. در این مطالعه به‌منظور حل این مشکل یک کنترلر ترکیبی Fuzzy-LQR پیشنهاد شده که در آن از یک ناظر فازی برای تعیین آنلاین ماتریس وزن LQR استفاده شده است. برای ارزیابی عملکرد کنترلر پیشنهادی از دو سازه 3 و 8 طبقه استفاده شده که تمام طبقات آنها مجهز به عملگر کابل فعال است. این سازه‌ها تحت ارتعاش دو زمین‌لرزه مصنوعی با سطح خطر 10  و 2 درصد در 50 سال قرار گرفته و پاسخ‌های مختلفی از سازه اعم از حداکثر مقدار پاسخ‌ها و ریشه میانگین مربعات آنها مورد بررسی قرار گرفته است. در ادامه با مقایسه نتایج حاصل از کنترلر پیشنهادی و کنترلر LQR مبتنی بر الگوریتم‌های فراکاوشی مختلف می‌توان به توانایی بالای کنترلر Fuzzy-LQR اشاره کرد که حتی در حضور عدم قطعیت پارامتری و نویز در حس‌گرها نیز می‌تواند تا90 درصد منجر به کاهش پاسخ گردد. در نهایت می‌توان نتیجه گرفت که کنترلر پیشنهادی دارای رفتاری مقاوم و پایدار در برابر تحریک‌های گوناگون و عدم قطعیت‌های سیستم می‌باشد.

کلیدواژه‌ها

موضوعات

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  • تاریخ دریافت: 10 اسفند 1399
  • تاریخ بازنگری: 08 شهریور 1400
  • تاریخ پذیرش: 04 مهر 1400

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