Authors
Shun-Hung Tsai, Wen-Hsin Lee, Kazuo Tanaka, Ying-Jen Chen, Hak-Keung Lam
Publication date
2024/2/7
Journal
IEEE Transactions on Cybernetics
Publisher
IEEE
Description
This article explores the observer-based feedback control problem for a nonlinear hyperbolic partial differential equations (PDEs) system. Initially, the polynomial fuzzy hyperbolic PDEs (PFHPDEs) model is established through the utilization of the fuzzy identification approach, derived from the nonlinear hyperbolic PDEs model. Various types of state estimation and controller design problems for the polynomial fuzzy PDEs system are discussed concerning the state estimation problem. To investigate the relaxed stability problem, Euler’s homogeneous theorem, Lyapunov–Krasovskii functional with polynomial matrices (LKFPM), and the sum-of-squares (SOSs) approach are adopted. The exponential stabilization condition is formulated in terms of the spatial-derivative-SOSs (SD-SOSs). Additionally, a segmental algorithm is developed to find the feasible solution for the SD-SOS condition. Finally, a hyperbolic PDEs …
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Scholar articles
SH Tsai, WH Lee, K Tanaka, YJ Chen, HK Lam - IEEE Transactions on Cybernetics, 2024