Extended Luenberger-type observer for a class of semilinear time fractional diffusion systems. (September 2017)

• Record Type: Journal Article
• Authors: Ge, Fudong; Chen, YangQuan
• Is Part Of: Chaos, solitons and fractals. Volume 102(2017)
• Page Start: 229
• Page End: 235
• Publication Date: 2017-09
• Subjects: Extended Luenberger-type observer -- Mittag-Leffler stability -- Semilinear time fractional diffusion systems -- Backstepping; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.05.011
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: This paper is concerned with the design of an extended Luenberger-type observer to deal with the observation problem for a class of semilinear time fractional diffusion systems, which are usually used to well describe those sub-diffusion processes, such as water moving through grounds, or proteins diffusing across cell membranes etc. Mittag-Leffler stability for both the linearized and semilinear observer error systems are explored by using a backstepping-based technique. Moreover, a simulation example is provided to confirm the effectiveness of our results.