Fuzzy Boundary Sampled-Data Control for Nonlinear Parabolic DPSs.

abstract

• For a nonlinear parabolic distributed parameter system (DPS), a fuzzy boundary sampled-data (SD) control method is introduced in this article, where distributed SD measurement and boundary SD measurement are respected. Initially, this nonlinear parabolic DPS is represented precisely by a Takagi-Sugeno (T-S) fuzzy parabolic partial differential equation (PDE) model. Subsequently, under distributed SD measurement and boundary SD measurement, a fuzzy boundary SD control design is obtained via linear matrix inequalities (LMIs) on the basis of the T-S fuzzy parabolic PDE model to guarantee exponential stability for closed-loop parabolic DPS by using inequality techniques and a LF. Furthermore, respecting the property of membership functions, we present some LMI-based fuzzy boundary SD control design conditions. Finally, the effectiveness of the designed fuzzy boundary SD controller is demonstrated via two simulation examples.

authors

• Huang, Tingwen

published proceedings

• IEEE Trans Cybern

author list (cited authors)

• Wang, Z., Li, Q., Qiao, J., Wu, H., & Huang, T.

complete list of authors

• Wang, Zi-Peng||Li, Qian-Qian||Qiao, Junfei||Wu, Huai-Ning||Huang, Tingwen

publication date

• September 2023

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Cybernetics  Journal

keywords

• Boundary Sampled-data (sd) Control
• Boundary Sd Measurement
• Distributed Sd Measurement
• Fuzzy Control
• Parabolic Distributed Parameter System (dps)

PubMed Central ID

• 37751339

Digital Object Identifier (DOI)

• 10.1109/TCYB.2023.3312135

start page

• 1

end page

• 12

volume

• PP

issue

• 99

URL

• http://dx.doi.org/10.1109/tcyb.2023.3312135