Abstract




 
   

IJE TRANSACTIONS A: Basics Vol. 28, No. 4 (April 2015) 553-560   

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  STABILITY AND PERFORMANCE ATTAINMENT WITH FIXED ORDER CONTROLLER USING FREQUENCY RESPONSE
 
H. Parastvand and M. J. Khosrowjerdi
 
( Received: March 22, 2014 – Accepted: January 29, 2015 )
 
 

Abstract    Recently, a new data driven controller synthesis is presented for calculating the family of stabilizing first, second and fixed order controller using frequency respons. However, this method is applicable just for plants that can guarantee some smoothness at the boundary of the resulted high dimension LMI. This paper solve that issue and extends the approach to fixed order controllers guaranteeing some performance criteria which are applicable for the more general types of plants. It is shown that knowing the frequency response of plant is sufficient to calculate the stabilizing fixed order controllers from a set of convex linear inequalities. The norm on sensitivity and complementary sensitivity functions are satisfied from some frequency domain inequalities (FDI) that could be examined from frequency response data. The usefulness of the proposed approach is illustrated by an academic example.

 

Keywords    Fixed order controller, linear matrix inequality, frequency domain inequality, performance attainement

 

چکیده    ااخیرا روشی برای محاسبه خانواده کنترل­کننده­های مرتبه اول و دوم پایدارساز با استفاده از داده­های حوزه فرکانس ارائه شده است. در این مقاله، این روش به طراحی کنترل­کننده مرتبه ثابت (از مرتیه N) تعمیم داده می­شود که قادر به برآورده نمودن معیارهای عملکرد نیز می­باشد. تنها اطلاعات مورد نیاز برای محاسبه کنترل­کننده مرتبه ثابت پایدارساز با استفاده از مجموعه­ای از ناتساویهای خطی محدب، پاسخ فرکانسی فرآیند است. نرم H-inf توابع حساسیت و مکمل حساسیت با استفاده از تعدادی ناتساوی خطی در حوزه فرکانس ارضا می­شوند که این ناتساویها با استفاده از داده­های پاسخ فرکانسی بدست می­آیند. کارآیی روش پیشنهادی با یک مثال اکادمیک نشان داده شده است.

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21.     Parastvand, H. and Khosrowjerdi, M.J, “Parameterized Controller Synthesis for SISO-LTI Uncertain Plants Using Frequency Domain Information”, International Journal of Systems Science, Manuscript submitted for ppublication (2015).

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