On the fractional PID control of a laboratory servo system

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 17, Issue 1 PART 1, 2008, Pages

  Barbosa, Ramiro ^a   Machado, J A Tenreiro ^a   Jesus, Isabel S ^a  

^a NONE

Author keywords

Fractional systems

Indexed keywords

DYNAMICAL PROPERTIES; FRACTIONAL CONTROLLERS; FRACTIONAL SYSTEMS; FRACTIONAL-ORDER ALGORITHMS; MATLAB /SIMULINK; PID CONTROL; PID CONTROLLERS; REAL-TIME DIGITAL CONTROL; SERVO SYSTEM; SYSTEM-BASED;

DIGITAL CONTROL SYSTEMS; ELECTRIC CONTROL EQUIPMENT; PROPORTIONAL CONTROL SYSTEMS; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; TWO TERM CONTROL SYSTEMS;

CONTROLLERS;

EID: 79961019578     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20080706-5-KR-1001.2381     Document Type: Conference Paper

References (16)

1. Axtell, M., M. E. Bise (1990). Fractional Calculus Applications in Control Systems. In: Proc. of the IEEE 1990 National Aerospace and Electronics Conference. New York, pp. 563-566.
2. Barbosa, R. S., J. A. T. Machado and I. M. Ferreira (2004). Tuning of PID Controllers Based on Bode s Ideal Transfer Function. Nonlinear Dynamics 38, 305-321. (Pubitemid 40400623)
3. Feliu-Batlle, V., R. R. Pérez and L. S. Rodríguez (2007). Fractional Robust Control of Main Irrigation Canals with Variable Dynamic Parameters. Control Engineering Pratice 15, 673-686. (Pubitemid 46357262)
4. Franklin, G. F., J. D. Powel and M. L. Workman (1990). Digital Control of Dynamic Systems. Addison- Wesley, 2nd ed. Reading, MA.
5. Ma, C. and Y. Hori (2003). Design of Robust Fractional Order PID Speed Control for Two-Inertia System. In: Proc. of the Japan Industry Applications Society Conference. Tokyo, Japan, August 26-28, pp. 1-4.
6. Machado, J. A. T. (1997). Analysis and Design of Fractional-Order Digital Control Systems. SAMS Journal of Systems Analysis, Modelling and Simulation 27, 107-122.
7. Manual Inteco (2006). Modular Servo System (MSS), User's Manual, Krakow, Poland.
8. Oldham, K. B. and J. Spanier (1974). The Fractional Calculus. Academic Press, New York.
9. Oustaloup, A., (1991). La Commande CRONE. Éditions Hermès, Paris.
10. Oustaloup, A., F. Levron, B. Mathieu and F. M. Nanot (2000). Frequency-Band Complex Noninteger Differentiator: Characterization and Synthesis. IEEE Trans. on Circuits and Systems-I: Fund. Theory and Applications 47 (1), 25-39. (Pubitemid 30549106)
11. Podlubny, I. (1999a). Fractional Differential Equations. Academic Press, San Diego.
12. Podlubny, I. (1999b). Fractional-Order Systems and PID-Controllers. IEEE Transactions on Automatic Control 44 (1), 208-214.
13. Samko, S. G., A. A. Kilbas and O. I. Marichev (1993). Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach Science, Amsterdam.
14. Valério, D. and José Sá da Costa (2004). Non-Integer Order Control of a Flexible Robot. In: Proc. of the First IFAC Workshop on Fractional Differentiation and Its Applications, pp. 520-525, Bordeaux, France.
15. Vinagre, B., I. Podlubny, A. Hernandez, and V. Feliu (2000). Some Approximations of Fractional Order Operators Used in Control Theory and Applications. Journal of Fractional Calculus & Applied Analysis, 3 (3), 231-248.
16. Ziegler, J. G. and N. B. Nichols (1942). Optimum Settings for Automatic Controllers. Transactions of the ASME 64, 759-765.