Reliable exponential stabilisation for fractional-order semilinear parabolic distributed parameter systems: an LMI approach

Xiaona Song, Zhibo Wang, Mi Wang and Shuai Song

Cyber-Physical Systems, 2020, vol. 6, issue 3, 146-164

Abstract: This paper investigates the problem of exponential stabilisation for fractional-order semilinear parabolic distributed parameter systems with actuator faults, and a reliable state feedback controller is proposed. First, the considered nonlinear fractional-order distributed parameter systems are reconstructed by Takagi-Sugeno (T-S) fuzzy partial differential equation (PDE) model, where a finite number of actuators are active only at some specified points of the spatial domain. Then, based on the obtained fractional-order T-S fuzzy PDE model, a fractional-order Lyapunov technique is used to analyse the closed-loop exponential stability. By using the vector-valued Wirtinger’s inequality, a reliable state feedback controller that can guarantee locally exponential stabilisation of the fractional-order semilinear PDE systems is presented in terms of linear matrix inequalities. Finally, a numerical simulation is provided to demonstrate the effectiveness of the proposed method.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/23335777.2020.1738556 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:tcybxx:v:6:y:2020:i:3:p:146-164

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/tcyb20

DOI: 10.1080/23335777.2020.1738556

Access Statistics for this article

Cyber-Physical Systems is currently edited by Yang Xiao

More articles in Cyber-Physical Systems from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().