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Titlebook: Distributed Fuzzy Control of Multivariable Systems; Alexander Gegov Book 1996 Springer Science+Business Media Dordrecht 1996 algorithms.an

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Conclusions,The results in this monograph are suitable for distributed control of multivariable systems, described by linguistic models. However, most of these results can be applied under certain conditions — otherwise other techniques should be used.
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Dimensional Reduction of Fuzzy Relations in Multivariable Control Systems,o reduce the volume of on-line computations and in this way to facilitate the real time control implementation. Most of the familiar approaches in this direction are based on the approximation (decomposition) of multidimensional fuzzy relations by (in) two-dimensional ones.
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Decentralized Fuzzy Control of Multivariable Systems by Direct Decomposition,e-output, single-input-multiple-output or multiple-input-multiple-output subsystems. In the case of Siso subsystems, the original system is supposed to possess N inputs and outputs. In the case of Nsiso subsystems, the original system possesses a number of inputs or / and outputs, bigger than N.
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Multilayer Fuzzy Control of Multivariable Systems By Passive Decomposition,e-output systems. In this case, the “if” parts in (2.1) are repeated for each output variable u., i=1,m and the control law (2.2) is obtained where the two-dimensional relations R., j = 1,n, i=1,m are calculated by (2.3).
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