Fuzzy Boundary Control for Nonlinear Delayed DPSs Under Boundary Measurements. Academic Article

abstract

• For nonlinear delayed distributed parameter systems (DDPSs), this article considers a fuzzy boundary control (FBC) under boundary measurements (BMs). Initially, we accurately describe the nonlinear DDPS through a Takagi-Sugeno (T-S) fuzzy partial differential-difference equation (PDDE). Then, in accordance with the T-S fuzzy PDDE model, an FBC design under BMs ensuring the exponential stability for closed-loop DDPS is subsequently presented by spatial linear matrix inequalities (SLMIs) via using Wirtinger's inequality, Halanay's inequality, and the Lyapunov direct method, which respects the fast-varying and slow-varying delays. Moreover, we formulate SLMIs as LMIs for solving the fuzzy boundary controller design of nonlinear DDPSs under BMs. Finally, the effectiveness of the proposed FBC strategy is presented via simulation examples.

authors

• Huang, Tingwen

published proceedings

• IEEE Trans Cybern

altmetric score

• 0.25

author list (cited authors)

• Wang, Z., Zhang, X. u., Wu, H., & Huang, T.

citation count

• 0

complete list of authors

• Wang, Zi-Peng||Zhang, Xu||Wu, Huai-Ning||Huang, Tingwen

publication date

• March 2023

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE TRANSACTIONS ON CYBERNETICS  Journal

keywords

• Actuators
• Boundary Measurements (bms)
• CONTROL THEORY
• Delayed Distributed Parameter Systems (ddpss)
• Delays
• Fuzzy Boundary Control (fbc)
• Linear Matrix Inequalities
• Mathematical Model
• Spatiotemporal Phenomena
• Stability Analysis

PubMed Central ID

• 34499611

Digital Object Identifier (DOI)

• 10.1109/TCYB.2021.3105249

start page

• 1547

end page

• 1556

volume

• 53

issue

• 3

URL

• http://dx.doi.org/10.1109/tcyb.2021.3105249