Global fuzzy adaptive asymptotic tracking control for unknown semi-linear parabolic distributed parameter systems

This paper is mainly devoted to investigating the globally asymptotic tracking problem of unknown semi-linear parabolic distributed parameter systems (SLPDPSs) with uncertain external disturbance. Firstly, an analysis of the well-posedness of the system solution is given based on the operator semigroup theory. Then, from the Lyapunov direct method, a distributed adaptive fuzzy controller (AFC) is designed so that the unknown SLPDPSs can asymptotically track target systems. More importantly, the globally asymptotic tracking condition can be obtained, which overcomes the semi-global stability results in the existing literatures. Finally, several simulation cases are introduced to verify the availability and practicability of the proposed method. (c) 2023 Elsevier B.V. All rights reserved.

Automated summary

This paper mainly investigates the globally asymptotic tracking problem of unknown semi-linear parabolic distributed parameter systems (SLPDPSs) with uncertain external disturbance. Firstly, the well-posedness of the system solution is analyzed based on the operator semigroup theory. Then, a distributed adaptive fuzzy controller (AFC) is designed using the Lyapunov direct method, enabling the unknown SLPDPSs to asymptotically track target systems. Importantly, the globally asymptotic tracking condition is obtained, overcoming the semi-global stability results in existing literature. Several simulation cases are introduced to verify the availability and practicability of the proposed method.