Fractional-order system identification using complex order-distributions

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 2, Issue PART 1, 2006, Pages 200-205

  Adams, Jay L ^a   Hartley, Tom T ^a   Lorenzo, Carl F ^b  

^a University of Akron   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

Author keywords

Complex order distributions; Fractional calculus; Fractional order systems; System identification

Indexed keywords

ALGEBRA; APPLICATION PROGRAMS; CALCULATIONS; DIFFERENTIATION (CALCULUS); FREQUENCY DOMAIN ANALYSIS; IDENTIFICATION (CONTROL SYSTEMS);

COMPLEX ORDER-DISTRIBUTIONS; FRACTIONAL CALCULUS; FRACTIONAL SYSTEMS; FRACTIONAL-ORDER SYSTEMS; FREQUENCY DOMAINS; IDENTIFICATION METHOD; LEAST-SQUARES APPROACH;

RELIGIOUS BUILDINGS;

EID: 77953512751     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060719-3-pt-4902.00036     Document Type: Conference Paper

References (10)

1. Hartley, Tom T., Carl F. Lorenzo, and Jay L. Adams (2005a). Conjugated Order Differintegrals. Proceedings of ASME DETC05 Conference.
2. Hartley, Tom T., Jay L. Adams and Carl F. Lorenzo (2005b). Complex Order-Distributions. Proceedings of ASME DETC05 Conference.
3. Hartley, Tom T. and Carl F Lorenzo (2003). Fractional-Order System Identification Based on Continuous Order-Distributions. Signal Processing 83, 2288-2300.
4. Kobelev L.Y. and Y. L. Kobelev (2004) The Fractional Derivatives with Orders as Functions (Variable Order) and Their Applications to Problems of Natural and Social Sciences and Engineering. Proceedings of IFAC FDA04 Conference.
5. Lorenzo, Carl F. and Tom T. Hartley (2002). Variable Order and Distributed Order Fractional Operators. Nonlinear Dynamics 29 57-98.
6. Miller, K.S. and B. Ross (1993). An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, New York.
7. Oldham, K. B. and J. Spanier (1974). The Fractional Calculus: Integrations and Differentiations of Arbitrary Order. Academic Press, New York.
8. Oustaloup, Alain, Jocelyn Sabatier, and Patrick Lanusse (1999). From Fractal Robustness to the CRONE Control. Fractional Calculus and Applied Analysis 2 (1), 1-30.
9. Podlubny, Igor (1999). Fractional Differential Equations: An Introduction to Fractional Derivative, Fractional Differential Equations, Some Methods of Their Solution and Some of Their Applications. Academic Press, New York.
10. Rolain, Y., R. Pintelon, K.Q. Xu, and H. Vold (1995). Best conditioned parametric identification of transfer function models in the frequency domain. IEEE Transaction on Automatic Control AC-40 (11), 1954-1960.