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Design of Retarded Fractional Delay Differential Systems Using the Method of Inequalities

International Journal of Automation and computing 2009年第1期6卷 22-28页

作者： Suchin Arunsawatwong Van Quang Nguyen Control Systems Research Laboratory Department of Electrical Engineering Chulalongkorn University

Methods based on numerical optimization.are useful and effective in the design of control systems. This paper describes the design of retarded fractional delay differential systems （RFDDSs） by the method of inequalities, in which the design problem is formulated so that it is suitable for solution by numerical methods. Zakian＇s original formulation, which was first proposed in connection with rational systems, is extended to the case of RFDDSs. In making the use of this formulation possible for RFDDSs, the associated stability problems are resolved by using the stability test and the numerical algorithm for computing the abscissa of stability recently developed by the authors. During the design process, the time responses are obtained by a known method for the numerical inversion of Laplace transforms. Two numerical examples are given, where fractional controllers are designed for a time-delay and a heat-conduction plants.

关键词： Fractional systems systems with time-delays control systems design method of inequalities design formulation parameter optimization.

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Temperature monitoring and heating optimization.in cancer hyperthermia

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Progress in Natural Science:Materials International 2000年第10期10卷 69-75页

作者：刘静 Beijing 100080 China Chinese Academy of Sciences Cryogenic Laboratory P. O. Box 2711

A closed form analytical solution to the Pennes equation with random heating was obtained using the Green’s function method. To meet the requirements for the tumor killing temperature and the skin burn threshold, an approach to optimize the cancer hyperthermia parameters was proposed. For clinical practices, a solution to reveal the relationship between skin surface temperature and the transient temperature inside the tissue was obtained. Parametric study shows the feasibility of the heating optimization. The present approach can be incorporated in the apparatus to establish a noninvasive hyperthermia system.

关键词： bioheat transfer tumor hyperthermia temperature monitoring heating control parameter optimization.

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