Digital implementation of fractional order PID controller and its application

Journal of Systems Engineering and Electronics

Volumn 16, Issue 1, 2005, Pages 116-122

  Wang, Zhenbin ^a   Wang, Zhenlei ^a   Cao, Guangyi ^a   Zhu, Xinjian ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Discretization; Fractional calculus; Fractional order PID controller; Nonlinear system; Z transform

Indexed keywords

DISCRETIZATION; FRACTIONAL CALCULUS; LIS; PID CONTROL; TGLS;

COMPUTER SIMULATION; DYNAMIC RESPONSE; FREQUENCY DOMAIN ANALYSIS; NONLINEAR SYSTEMS; Z TRANSFORMS;

OPTIMAL SYSTEMS;

EID: 18344389781     PISSN: 16711793     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Miller K S, Ross B. An introduction to the fractional calculus and fractional differential equations. John Wiley and Sons, 1993.
2. Oldham K B, Spanier J. The fractional calculus. New York: Academic, 1974.
3. Podlubny I. Fractional differential equations. Academic Press, San Diego, 1999.
4. Carpinter I, Mainardi F. Fractals and fractional calculus in continuum mechanics. Springer, Wien, 1997.
5. Matignon D, D'Andrea-Novel B. Observer-based controllers for fractional differential systems. 36th IEEE Conference on Decision and Control, San Diego, California, 1997: 4967-4972.
6. Matignon D. Stability results for fractional differential equations with applications to control processing. Computational Engineering in Systems and Application multiconference, 1996(12): 963-968.
7. Matignon D, D'Andrea-Novel B. Some results on controllability and observability of finite-demensional fractional differential systems. Computational Engineering in Systems and Application Multiconference, 1996(2): 952-956.
8. Matignon D, D'Andrea-Novel B. De composition modale fractionnaire fel' equation des ondes avec pertes viscothermiques. Ecole Nationale Superieure des telecommunications, 1995, 95C001(1995).
9. Oustaloup A, Sabatier J, Lanusse P. From fractal robustness to CRONE control. Fractional Calculus and Applied Analysis, 1999, 2(1): 1-30.
10. Oustaloup A, Mathieu B. La commande CRONE: Du scalaire au multivariable. Paris, France: Hermes, 1999.
11. Oustaloup A. La derivation non entiere: Theorie, synthese, applications. Serie Automatique. editions Herme, 1995.
12. Oustaloup A. La commande CRONE. Serie Automatique. editions Herme, 1991.
13. Podlubny I. Fractional-order systems and-controllers. IEEE Trans. automatic control, 1999, 44(1): 208-214.
14. Oustaloup A, Levron F, Narot F, et al. Frequency band complex non integer differentiator: characterization and synthesis. IEEE Trans. Circuits Syst., 2000, 47(1): 25-40.
15. Lubich Ch. Discretized fractional calculus. SIAM J. Math. Anal., 1986, 17(3): 704-719.
16. Bazaraa M S, Sherali H D, Shetty C M. Nonlinear programming: theory and algorithms. 2nd ed, New York: John Wiley and Sons, 1993.