Publication Date:
2018-09-10
Description:
Algorithms, Vol. 11, Pages 136: Mixed Order Fractional Observers for Minimal Realizations of Linear Time-Invariant Systems Algorithms doi: 10.3390/a11090136 Authors: Manuel A. Duarte-Mermoud Javier A. Gallegos Norelys Aguila-Camacho Rafael Castro-Linares Adaptive and non-adaptive minimal realization (MR) fractional order observers (FOO) for linear time-invariant systems (LTIS) of a possibly different derivation order (mixed order observers, MOO) are studied in this paper. Conditions on the convergence and robustness are provided using a general framework which allows observing systems defined with any type of fractional order derivative (FOD). A qualitative discussion is presented to show that the derivation orders of the observer structure and for the parameter adjustment are relevant degrees of freedom for performance optimization. A control problem is developed to illustrate the application of the proposed observers.
Electronic ISSN:
1999-4893
Topics:
Computer Science