A fractional adaptation law for sliding mode control

International Journal of Adaptive Control and Signal Processing

Volumn 22, Issue 10, 2008, Pages 968-986

  Efe, Mehmet Onder ^a   Kasnakog̃lu, Cosku ^a  

^a TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY   (Turkey)

Author keywords

Adaptation; Adaptive sliding mode control; Fractional order control; Fractional tuning laws

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CONTROL THEORY; DIFFERENTIATION (CALCULUS); DYNAMICAL SYSTEMS; FEEDBACK CONTROL; LAWS AND LEGISLATION; MATHEMATICAL OPERATORS; SCHRODINGER EQUATION; SLIDING MODE CONTROL; TUNING;

ADAPTATION; ADAPTATION LAWS; ADAPTATION SCHEMES; ADAPTIVE SLIDING MODE CONTROL; ADAPTIVE SLIDING MODE CONTROLS; DEGREE OF ROBUSTNESSES; DEGREES OF FREEDOMS; DIRECT DRIVE ROBOTS; FINITE TIMES; FRACTIONAL DIFFERENTIATIONS; FRACTIONAL ORDER CONTROL; FRACTIONAL TUNING LAWS; INITIALIZATION PROBLEMS; INTEGER ORDERS; INTEGRATION OPERATORS; LINEAR ELEMENTS; NONLINEAR DYNAMIC SYSTEMS; PARAMETER EVOLUTIONS; PERFORMANCE IMPROVEMENTS; SLIDING MODES; SLIDING MOTIONS; TRACKING PERFORMANCES;

CONTROL SYSTEMS;

EID: 57049169753     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.1062     Document Type: Article

References (20)

1. Haykin S. Neural Networks. Macmillan College Printing Company: New Jersey, 1994.
2. Jang J-SR, Sun C-T, Mizutani E. Neuro-fuzzy and Soft Computing. PTR Prentice-Hall: Upper Saddle River, NJ, U.S.A., 1997.
3. Oldham KB, Spanier J. The Fractional Calculus. Academic Press: New York, 1974.
4. Podlubny I. Fractional Differential Equations (1st edn). Elsevier Science & Technology Books: San Diego, U.S.A., 1998.
5. Matignon D. Stability properties for generalized fractional differential systems. ESAIM Proceedings, Paris, France, vol. 5, 1998; 145-158.
6. Momani S, Hadid S. Lyapunov stability solutions of fractional integrodifferential equations. International Journal of Mathematics and Mathematical Sciences 2004; 2004(47):2503-2507.
7. Åström KJ, Wittenmark B. Adaptive Control (2nd edn). Addison-Wesley: Reading, MA, 1995.
8. Vinagre BM, Petraš I, Podlubny I, Chen YQ. Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Nonlinear Dynamics 2002; 29:269-279.
9. Ladaci S, Charef A. On fractional adaptive control. Nonlinear Dynamics 2006; 43:365-378.
10. Suárez JI, Vinagre BM, Chen YQ. A fractional adaptation scheme for lateral control of an AGV. 2nd IFAC Workshop on Fractional Differentiation and its Applications, Porto, Portugal, 19-21 July 2006.
11. Calderón AJ, Vinagre BM, Feliu V. Fractional order control strategies for power electronic buck converters. Signal Processing 2006; 88:2803-2819.
12. Vinagre BM, Calderón AJ. On fractional sliding mode control. 7th Portuguese Conference on Automatic Control (CONTROLO'2006), Lisbon, Portugal, 11-13 September 2006.
13. Yildiz Y, Sabanovic A, Abidi K. Sliding-mode neuro-controller for uncertain systems. IEEE Transactions on Industrial Electronics 2007; 54:1676-1685.
14. Huh S-H, Bien Z. Robust sliding mode control of a robot manipulator based on variable structure-model reference adaptive control approach. IET Control Theory and Applications 2007; 1:1355-1363.
15. Utkin VI. Sliding Modes in Control Optimization. Springer: New York, 1992.
16. Edwards C, Spurgeon SK. Sliding Mode Control Theory and Applications. Taylor & Francis: London, 1998.
17. Perruquetti W, Barbot JP. Sliding Mode Control in Engineering. Marcel Dekker: New York, 2002.
18. Direct Drive Manipulator R&D Package, User Guide. Integrated Motions Inc., Berkeley, CA, U.S.A., 1992.
19. Efe MÖ, Kaynak O. A comparative study of soft computing methodologies in identification of robotic manipulators. Robotics and Autonomous Systems 2000; 30:221-230.
20. Valério D. Ninteger v. 2.3 Fractional Control Toolbox for MatLab, 2005.