Abstract




 
   

IJE TRANSACTIONS B: Applications Vol. 31, No. 2 (February 2018) 322-330   

PDF URL: http://www.ije.ir/Vol31/No2/B/17-2695.pdf  
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  STABILITY AND ROBUST PERFORMANCE ANALYSIS OF FRACTIONAL ORDER CONTROLLER OVER CONVENTIONAL CONTROLLER DESIGN
 
P. Kumar and S. Kumar Chaudhary
 
( Received: May 12, 2017 – Accepted in Revised Form: October 12, 2017 )
 
 

Abstract    In this paper, a new comparative approach has been proposed for reliable controller design. Scientists and engineers are often confronted with the analysis, design, and synthesis of real-life problems. The first step in such studies is the development of a 'mathematical model' which can be considered as a substitute for the real problem. The mathematical model is used here as a plant. Fractional integrals and derivatives have found wide application in the control of dynamical systems when the controlled system and the controller are described by a set of fractional order differential equations. Here the stability of fractional order system is checked at the different level and it is found that the stability region is large in the complex plane. This large stability region provides the more flexibility for system implementation in the control engineering. Generally, an analytically or experimentally approaches are used for designing the controller. If a fractional order controller design approach used for a given plant then the controlled parameter gives the better result.

 

Keywords    Fractional Order Controller; Fractional Order Calculus; Stability; Performance Analysis; MATLAB; Function Under Class; Ziegler-Nichols Method.

 

چکیده    در این مقاله روش مقایسه ای طراحی کنترلر پیشنهاد شده است. دانشمندان و مهندسین با انالیز و طراحی مواردی از مشکلات واقعی مواجه می شوند که در اولین گام تکامل و پیدایش مدل های ریاضی برای حل مشکلات واقعی مورد توجه قرار می گیرد. مدل های ریاضی همانند یک طرح و برنامه قابل اجراست. انتگرال تابع و مشتقات تابع کاربری وسیعی در کنترل سیستمهای دینامیکی دارد. موارد کنترل توسط معادلات دیفرانسیل درجات بالا یا مشتقات جز را در بر می گیرد. در این مرحله پایداری و درجه سیستم مورد بررسی قرار می گیرد. ناحیه پایداردر محدوده و صفحه پیجیده ای قرار می گیرد. ناحیه پایدار وسیع در یکارگیری کنترل مهندسی به سیستم انعطاف پذیری میدهد. بطور کلی طروق حل انالیز عددی و روش تحلیل تجربی بکار گرفته می شود. اگر از روش طراحی کنترل و درجه کنترل اجزا بکار گرفته شود سپس کنترل پارامترها نتایج بهتری می دهد.

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