In this paper, fractional order system observability is discussed. A representation of these systems that involves a classical linear integer system and a system described by a parabolic equation is used to define the system real state and to conclude that the system state cannot be observed. However, it is also shown that the state space like representation usually encountered in the literature for fractional systems, can be used to design Luenberger like observers that permit an estimation of important variables in the system.
- Design Engineering Division and Computers in Engineering Division
On Observability of Fractional Order Systems
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Sabatier, J, Merveillaut, M, Fenetau, L, & Oustaloup, A. "On Observability of Fractional Order Systems." Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C. San Diego, California, USA. August 30–September 2, 2009. pp. 253-260. ASME. https://doi.org/10.1115/DETC2009-87262
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