Discretization schemes for fractional-order differentiators and integrators

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 49, Issue 3, 2002, Pages 363-367

  Chen, Yang Quan ^a   Moore, Kevin L ^a  

^a UTAH STATE UNIVERSITY   (United States)

Author keywords

Al Alaoui operator; Discretization; Fractional differentiator; Fractional order differentiator; Fractional order dynamic systems; Recursive; Tustin operator

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS;

CONTINUED FRACTION EXPANSION; DISCRETIZATION; FRACTIONAL-ORDER DIFFERENTIATORS; INTEGRATORS;

DIFFERENTIATION (CALCULUS);

EID: 0036506044     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.989172     Document Type: Article

References (24)

1. Fractional integrals and derivatives and some of their applications
2. Three-parameter tunable tilt-integral-derivative (TID) controller
3. μ-controllers
4. The CRONE control of resonant plants: Application to a flexible transmission
5. The CRONE suspension
6. State-space representation for fractional order controllers
7. The noninteger integral and its application to control systems
8. The system design by the use of noninteger integral and transport delay
9. Linear feedback control systems of fractional order between 1 and 2
10. Fractional calculus applications in control systems
11. From fractal robustness to CRONE control
12. The fractional-order controllers: Methods for their synthesis and application
13. Frequency band complex non integer differentiator: Characterization and synthesis
14. Analysis and design of fractional-order digital control systems
15. Two digital realization of fractional controllers: Application to temperature control of a solid
16. Novel digital integrator and differentiator
17. Filling the gap between the bilinear and the backward difference transforms: An interactive design approach
18. Discretized fractional calculus