Boundary control strategy for three kinds of fractional heat equations with control-matched disturbances

Rui-Yang Cai, Hua-Cheng Zhou and Chun-Hai Kou

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: This work aims to design the disturbance rejection controllers for three classes of fractional heat equations. Based on Filippov’s theory, the existence conclusion for the partial differential inclusion solution (PDIS) is established for fractional heat equations with discontinuous boundary conditions. Boundary control strategies are designed directly without the use of any robust control method to respectively achieve the power-law type stabilization and the asymptotical stabilization for fractional heat equations without and with time delay, respectively. A numerical example is included to illustrate the obtained results.

Keywords: Disturbance rejection control design; Fractional heat equations with delay; Partial differential inclusion solution; Stabilization (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002393

DOI: 10.1016/j.chaos.2021.110886

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