Fuzzy discretization and control for non-linear, multiple binary input systems
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comunitat-uji-handle2:10234/7034
comunitat-uji-handle3:10234/8619
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Title
Fuzzy discretization and control for non-linear, multiple binary input systemsDate
2023Publisher
ElsevierISSN
0165-0114Bibliographic citation
ARIÑO, Carlos; MAS, Lluís; BALAGUER, Pedro. Fuzzy discretization and control for non-linear, multiple binary input systems. Fuzzy Sets and Systems, 2023, 472: 108696.Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
The control of continuous-time linear systems with binary inputs cannot benefit from existing control design techniques because
they are based on continuous control actions. In particular, optimal control problems ... [+]
The control of continuous-time linear systems with binary inputs cannot benefit from existing control design techniques because
they are based on continuous control actions. In particular, optimal control problems with binary inputs lead to combinatorial
optimization problems, which are difficult to solve. In this article we provide an exact discretization model of the binary continuoustime system that results in a non-linear multiple input controlled system. The non-linear model is then converted into a fuzzy
discrete Takagi-Sugeno model, thus allowing the use of optimal control techniques based on LMI design. The modelling of the
non-linear model by a discrete Takagi-Sugeno model is a complex process but it can be automatically performed as shown in the
article and the code of the application examples. [-]
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Fuzzy Sets and Systems, 2023, 472: 108696Rights
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