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Modeling of hybrid systems by piecewise decomposition

Piecewise linear models systems arise as mathematical models of systems in many practical applications, often from linearization for nonlinear systems. There are two main approaches of dealing with these systems according to their continuous or discrete-time aspects. We propose an approach which is based on the state transformation, more particularly the partition of the phase portrait in different regions where each subregion is modeled as a two-dimensional linear time invariant system. Then the Takagi-Sugeno model, which is a combination of local model is calculated. The simulation results show that the Alpha partition is well-suited for dealing with such a system

IEEE

Author: Esteva Payet, Santiago
Rosa, Josep Llu铆s de la
Rakoto-Ravalontsalama, Naly
Abstract: Piecewise linear models systems arise as mathematical models of systems in many practical applications, often from linearization for nonlinear systems. There are two main approaches of dealing with these systems according to their continuous or discrete-time aspects. We propose an approach which is based on the state transformation, more particularly the partition of the phase portrait in different regions where each subregion is modeled as a two-dimensional linear time invariant system. Then the Takagi-Sugeno model, which is a combination of local model is calculated. The simulation results show that the Alpha partition is well-suited for dealing with such a system
Document access: http://hdl.handle.net/2072/64621
Language: eng
Publisher: IEEE
Rights: Tots els drets reservats
Subject: Descomposici贸, M猫tode de
Simulaci贸 per ordinador digital
Sistemes de temps discret
Sistemes lineals
Takagi-Sugeno, model de
Decomposition method
Digital computer simulation
Discrete-time systems
Linear systems
Takagi-Sugeno model
Title: Modeling of hybrid systems by piecewise decomposition
Type: info:eu-repo/semantics/article
Repository: Recercat

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