Spatially Local Piecewise Fuzzy Control for Nonlinear Delayed DPSs With Random Packet Losses

This article introduces a spatially local piecewise fuzzy control (SLPFC) for nonlinear delayed distributed parameter systems (DPSs) with random packet losses. Due to the limited bandwidth of the channels, the random packet losses could occur simultaneously in the communication channels from the sen...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2022-05, Vol.30 (5), p.1447-1459
Main Authors: Wang, Zi-Peng, Wu, Huai-Ning, Huang, Tingwen
Format: Article
Language:English
Subjects:
Actuators
Algorithms
Channels
Control systems design
Controllers
Delayed distributed parameter system (DPS)
Delays
Design parameters
Distributed parameter systems
Fuzzy control
Linear matrix inequalities
Mathematical analysis
Nonlinear control
Packet loss
Process control
random packet loss
spatially local averaged measurement (SLAM)
spatially local piecewise fuzzy control (SLPFC)
Spatiotemporal phenomena
Stochastic processes
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Summary:This article introduces a spatially local piecewise fuzzy control (SLPFC) for nonlinear delayed distributed parameter systems (DPSs) with random packet losses. Due to the limited bandwidth of the channels, the random packet losses could occur simultaneously in the communication channels from the sensor to the controller and from the controller to the actuator, which are assumed to obey the Bernoulli random binary distribution. An SLPFC design is given such that, for all possible random packet losses, the closed-loop delayed DPS is mean square exponentially stable. Delay-dependent conditions are obtained and then two procedures are given for designing the spatially local piecewise fuzzy controller: one casts the controller design into an iterative linear matrix inequality (LMI) algorithm and the other casts the controller design into a parameter-dependent LMI problem. Two examples are provided to illustrate the usefulness of the presented design approach.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2021.3061142