论文信息 - Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive Control

Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive Control

This paper investigates the use of Fractional Order Calculus (FOC) inconventional Model Reference Adaptive Control (MRAC) systems. Twomodifications to the conventional MRAC are presented, i.e., the use offractional order parameter adjustment rule and the employment offractional order reference model. Through examples, benefits from theuse of FOC are illustrated together with some remarks for furtherresearch.

[1] Chang-Chieh Hang,et al. Comparative studies of model reference adaptive control systems , 1973 .

[2] S. Manabe. The non-integer integral and its application to control systems. , 1961 .

[3] I. Podlubny. Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[4] Alain Oustaloup,et al. The CRONE Control of Resonant Plants: Application to a Flexible Transmission , 1995, Eur. J. Control.

[5] Anissa Zergaïnoh-Mokraoui,et al. State-space representation for fractional order controllers , 2000, Autom..

[6] Alain Oustaloup,et al. From fractal robustness to the CRONE control , 1999 .

[7] Karl Johan Åström,et al. Adaptive Control , 1989, Embedded Digital Control with Microcontrollers.

[8] Y. D. Landau,et al. Adaptive control: The model reference approach , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[9] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[10] Igor Podlubny,et al. Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[11] I. Podlubny. Fractional differential equations , 1998 .

[12] I. Petras,et al. The fractional - order controllers: Methods for their synthesis and application , 2000, math/0004064.

[13] L. Debnath,et al. Integral Transforms and Their Applications, Second Edition , 2006 .