Global fuzzy adaptive asymptotic tracking control for nonlinear reaction-diffusion equations with time-varying coefficients

DOI10.1016/j.jfranklin.2021.09.026zbMath1478.93349OpenAlexW3202793628MaRDI QIDQ2058014

Yanfang Lei, Ailiang Zhao, Junmin Li

Publication date: 7 December 2021

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2021.09.026

zbMATH Keywords

nonlinear reaction-diffusion equationsfuzzy logic systemsglobal state feedback adaptive fuzzy controlglobally asymptotic tracking

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Fuzzy control/observation systems (93C42) Reaction-diffusion equations (35K57) Nonlinear systems in control theory (93C10) Adaptive control/observation systems (93C40)

Related Items

Robust adaptive neural networks control for a class of time-delay parabolic systems with nonlinear periodic time-varying parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive fuzzy control for perturbed strict-feedback nonlinear systems with predefined tracking accuracy
• Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control
• Repulsion effect on superinfecting virions by infected cells
• Boundary control of coupled reaction-diffusion processes with constant parameters
• Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics
• Fuzzy guaranteed cost sampled-data control of nonlinear systems coupled with a scalar reaction-diffusion process
• Some extended Wirtinger's inequalities and distributed proportional-spatial integral control of distributed parameter systems with multi-time delays
• Mixed \(H_2 \slash H_\infty\) sampled-data output feedback control design for a semi-linear parabolic PDE in the sense of spatial $\mathcal{L}^\infty$ norm
• Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
• Output Feedback Stabilization of Coupled Reaction-Diffusion Processes with Constant Parameters
• Adaptive output‐feedback finite‐time stabilisation of stochastic non‐linear systems with application to a two‐stage chemical reactor
• Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
• Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying Coefficients