4.7 Article

Observer-Based Fuzzy Quantized Control for a Stochastic Third-Order Parabolic PDE System

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2022.3184077

Keywords

H-infinity control; quantized control; stochastic distributed parameter systems

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This work proposes an observer-based fuzzy quantized control method for stochastic third-order parabolic partial differential equations (PDEs). The method introduces three types of quantizers and reduces the energy consumption of the system. Different stability results are presented for each case, and sufficient LMI-based conditions are investigated to ensure the stability and performance of the system.
The work addresses an observer-based fuzzy quantized control for stochastic third-order parabolic partial differential equations (PDEs) using discrete point measurements. For the first time, we contribute in introducing three types of quantizer-logarithmic quantizer, uniform quantizer, and hysteresis quantizer into the controller designs for the stochastic PDE system. The main advantage of the quantized control law lies in reducing the energy that the system spends. The stability analysis is nontrivial due to the complex stochastic PDE model. Different stability results are presented for each case. Sufficient LMI-based conditions are investigated to ensure the internal mean-square exponential stability and H-infinity performance of the perturbed actuated system. Consistent simulation results that support the proposed theoretical statements are provided.

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