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• W2037975863 abstract "In this paper, a simple and effective stabilization method for integrating time delay systems using fractional order PD controllers C(s)=kp+kdsμ is proposed. The presented method is based on finding the stability regions according to the fractional orders of the derivative element in the range of (0, 2). These regions are computed by using three stability boundaries: Real Root Boundary (RRB), Complex Root Boundary (CRB) and Infinite Root Boundary (IRB). The method gives the explicit formulae corresponding to these boundaries in terms of fractional order PD controller (PDμ controller) parameters. Thus, the complete set of stabilizing controllers for an arbitrary integrating time delay system can be obtained. In order to demonstrate the effectiveness in solution accuracy and the simplicity of this method, two simulation studies are given. The simulation results indicate that the PDμ controllers can provide larger stability regions than the integer order PD controllers." @default.
• W2037975863 created "2016-06-24" @default.
• W2037975863 creator A5041193799 @default.
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• W2037975863 date "2010-03-01" @default.
• W2037975863 modified "2023-10-01" @default.
• W2037975863 title "Calculation of all stabilizing fractional-order PD controllers for integrating time delay systems" @default.
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• W2037975863 doi "https://doi.org/10.1016/j.camwa.2009.08.049" @default.
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