6533b82ffe1ef96bd1296523

RESEARCH PRODUCT

Fuzzy Control of Uncertain Nonlinear Systems with Numerical Techniques: A Survey

Wen YuAlexander GegovRaheleh JafariSina Razvarz

subject

Condensed Matter::Quantum GasesComputer scienceNumerical analysisFuzzy differential equations010103 numerical & computational mathematics02 engineering and technologyFuzzy control system01 natural sciencesFuzzy logicDual (category theory)Nonlinear systemComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION0202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processing0101 mathematics

description

This paper provides an overview of numerical methods in order to solve fuzzy equations (FEs). It focuses on different numerical methodologies to solve FEs, dual fuzzy equations (DFEs), fuzzy differential equations (FDEs) and partial fuzzy differential equations (PFDEs). The solutions which are produced by these equations are taken to be the controllers. This paper also analyzes the existence of the roots of FEs and some important implementation problems. Finally, several examples are reviewed with different methods.

https://doi.org/10.1007/978-3-030-29933-0_1