TAILIEUCHUNG - Báo cáo sinh học: " Research Article Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers"

Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers | Hindawi Publishing Corporation Advances in Difference Equations Volume 2010 Article ID 984601 15 pages doi 2010 984601 Research Article Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers Saleh Sayyad Delshad Mohammad Mostafa Asheghan and Mohammadtaghi Hamidi Beheshti Electrical Engineering Department Tarbiat Modares University 14115-349 Tehran Iran Correspondence should be addressed to Mohammadtaghi Hamidi Beheshti mbehesht@ Received 31 December 2009 Accepted 4 May 2010 Academic Editor Josef Diblik Copyright 2010 Saleh Sayyad Delshad et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We propose a fractional-order controller to stabilize unstable fractional-order open-loop systems with interval uncertainty whereas one does not need to change the poles of the closed-loop system in the proposed method. For this we will use the robust stability theory of Fractional-Order Linear Time Invariant FO-LTI systems. To determine the control parameters one needs only a little knowledge about the plant and therefore the proposed controller is a suitable choice in the control of interval nonlinear systems and especially in fractional-order chaotic systems. Finally numerical simulations are presented to show the effectiveness of the proposed controller. 1. Introduction Recently studying fractional-order differential systems has become an active research field. Even though fractional calculus is a mathematical topic with more than 300 years old history its application to physics and engineering has attracted many researchers in different branches of control. It has been found that in interdisciplinary fields many systems can be described by fractional differential equations 1-8 . These examples and similar researches perfectly .

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