Observer-based sliding mode control for stochastic hyperbolic PDE systems with quantized output signal

Xiaona Song, Mi Wang, Shuai Song and Zhen Wang

Applied Mathematics and Computation, 2021, vol. 393, issue C

Abstract: In this note, a sliding mode control scheme is firstly developed for a class of stochastic hyperbolic partial differential equation (PDE) systems. Initially, it is assumed that the considered systems’ states are unavailable for the controller, thus a new state observer is designed. Furthermore, to save the communication resources in network, the system’s measure output signal is quantized before transmission, based on which a novel sliding mode controller is constructed to enhance the system’s robustness. Then, some new criteria that guarantee the systems’ stability and H∞ disturbance attenuation performance are established in terms of linear matrix inequality. In the end, two simulation studies are presented to demonstrate the effectiveness of the developed control strategy.

Keywords: Quantized output signal; State observer; Stochastic PDE systems; Sliding mode control (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:393:y:2021:i:c:s009630032030597x

DOI: 10.1016/j.amc.2020.125643

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