The boundary control strategy for a fractional wave equation with external disturbances

Jingfei Jiang, Juan Luis García Guirao, Huatao Chen and Dengqing Cao

Chaos, Solitons & Fractals, 2019, vol. 121, issue C, 92-97

Abstract: This paper is concerned with the boundary control of the fractional wave equation when the boundary is subject to persistent external disturbances. By developing the sliding mode control approach to infinite-dimensional fractional order systems, the fractional order sliding mode boundary control law is designed for the infinite dimensional setting. Moreover, based on the fractional asymptotical stability theorem, the asymptotical stability for the fractional wave equation under the control strategies proposed is addressed. Finally, numerical examples are provided to illustrate the viability of the theoretical results.

Keywords: Boundary control strategy; Fractional wave equation; External disturbance on boundary; Sliding mode control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:121:y:2019:i:c:p:92-97

DOI: 10.1016/j.chaos.2019.01.031

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