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March 2007 - September 2013
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Publications (25)
In this study, an algebraic approximation method is proposed to investigate the stability analysis and time domain response of non-integer order delay systems. Besides, stabilizing Proportional Integral Derivative (PID) controllers are computed in the (kp,ki) plane for the fixed value of kd and a simple PID controller tuning method for the systems...
As is known, to deal with some complex problems in fractional-order systems, some rational approximations for the fractional-order operators are used with satisfying results in simulation and realization. For this purpose, in this paper, the integer-order approximations of 0.1, 0.2,…,0.9 from the sixth order to tenth order are obtained using the co...
In this study, a PI‐PD controller tuning method is presented using the weighted geometrical center method, which is based on the calculation of the weighted geometric center of the stability region obtained by the stability boundary locus method. The proposed method for tuning of PI‐PD controller parameters (kd,kf,kp and ki) is performed in three s...
In this study, an algebraic stability test procedure is presented for fractional order time delay systems. This method is based on the principle of eliminating time delay. The stability test of fractional order systems cannot be examined directly using classical methods such as Routh-Hurwitz, because such systems do not have analytical solutions. W...
In this paper, a PID tuning method for integrating processes having time delay and inverse response is presented. The method is based on the stability boundary locus method and geometrical center (WGC) approach. The systematic procedure of the method is first to obtain the stability region in the PI controller parameters (proportional gain: kp and...
In this paper, a practical tuning technique is presented to obtain all stabilizing fractional order PIλ-PDμ controller parameters ensuring stability for processes with time delay using the stability boundary locus and the weighted geometrical center (WGC) methods. The method is based on obtaining of stability regions plotted by using the stability...
In this paper, a practical tuning algorithm of fractional order PD controller for processes with time delay using the weighted geometrical center (WGC) method is presented. This method is based on calculating of the stabilizing PDµ controller parameters region which is plotted using the stability boundary locus in the (kd,kp) plane and computing th...
Diabetes mellitus is a growing health problem worldwide. Especially, the patients with Type 1 diabetes need strict glycemic control because they have deficiency of insulin production. Today, the aim of the researchers is to develop a fully automated closed loop control system (i. e., artificial pancreas which is capable of continuous glucose sensin...
This author’s reply addresses the comment given in the note mentioned in the title. Theorem 3 given in Tan et al. (2009) [1] uses zero exclusion principle for the stability analysis of Fractional Order Interval Polynomial (FOIP). We show that the constant degree assumption is exist in the definition of zero exclusion principle. Although it has not...
The paper presents a method for computation of the Nyquist envelope of fractional order interval control systems (FOICS).
The given method is based on the computation of the value sets of fractional order interval polynomials (FOIP). The results
obtained will be useful for estimating the frequency domain specifications such as robust gain and phase...
The paper present extensions of some results developed in the parametric robust control to fractional order interval control
systems (FOICS). Computation of the Bode and Nyquist envelopes of FOICS are studied. Using the geometric structure of the
value set of fractional order interval polynomials (FOIP), a technique is proposed for computing the Bo...
This paper deals with the computation of rational approximations of fractional derivatives and/or integrals. All rational approximations for fractional order of 0.1, 0.2,0.9 are obtained using continued fraction expansion (CFE) method. Extension of the stability boundary locus approach to control systems with a fractional order transfer function is...
The paper deals with the robust stability analysis of a Fractional Order Interval Polynomial (FOIP) family. Some new results are presented for testing the Bounded Input Bounded Output (BIBO) stability of dynamical control systems whose characteristic polynomials are fractional order polynomials with interval uncertainty structure. It is shown that...