Digital realization and characteristics of fractional order controllers

Kongzhi Lilun Yu Yingyong/Control Theory and Applications

Volumn 23, Issue 5, 2006, Pages

  Cao, Jun Yi ^a   Cao, Bing Gang ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Digital realization; Fractional calculus; Fractional order controller; Frequency analysis

Indexed keywords

CONTINUED FRACTION EXPANSION (CFE); DIGITAL REALIZATION; FRACTIONAL CALCULUS; FRACTIONAL ORDER CONTROLLER; FREQUENCY ANALYSIS; GRUNWALD-LETNIKOV FORMULA; LIMITED MEMORY METHOD (LMM);

COMPUTER SIMULATION; CONTROL EQUIPMENT; ROBUSTNESS (CONTROL SYSTEMS); Z TRANSFORMS;

THREE TERM CONTROL SYSTEMS;

EID: 33846531069     PISSN: 10008152     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. OLDHAM K B, SPANIER J. The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order[M]. New York: Academic Press, 1974.
2. VLADIMIR V K, JOSE L L. Application of fractional calculus to fluid mechanics[J]. J of Fluids Engineering, 2002, 124(3): 803-806.
3. ENGHEIA N. On the role of fractional calculus in electromagnetic theory[J]. IEEE Antennas and Propagation Magazine, 1997, 39(4): 35-46.
4. HELESCHEWITZ D, MATIGNON D. Diffusive realizations of fractional integrodifferential operators: structural analysis under approximation[C]//Proc of IFAC Conf on System, Structure and Control. Kidlington, UK: Elsevier, 1998: 243-248.
5. MA C B, HORI Y. Backlash vibration suppression in torsional system based on the fractional order Q-filter of disturbance observer[C]//Proc of the 8th IEEE Int Workshop on Advanced Motion Control. Piscataway, USA: IEEE Press, 2004: 577-582.
6. PODLUBNY I. Geometric and physical interpretation of fractional integration and fractional differentiation[J]. Fractional Calculus and Applied Analysis, 2002, 5(4): 367-386.
7. CHEN Y Q, MOORE K L. Discretization schemes for fractionalorder differentiators and integrators[J]. IEEE Trans on Circuits and Systems, 2002, 49(3): 363-367.