Input-To-State Stabilization of Uncertain Parabolic PDEs Using an Observer-Based Fuzzy Control

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Abstract

This paper presents an observer-based fuzzy controller for one-dimensional parabolic partial differential equations with distributed bounded disturbance using discrete point measurements. Sufficient conditions are derived to guarantee the input-To-state stability of the closed-loop system in terms of linear matrix inequalities. A numerical simulation example is given to demonstrate the efficiency of the results.

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Kang, W., Li, S., & Ding, D. W. (2019). Input-To-State Stabilization of Uncertain Parabolic PDEs Using an Observer-Based Fuzzy Control. IEEE Access, 7, 3581–3591. https://doi.org/10.1109/ACCESS.2018.2889650

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