Modeling of hybrid systems by piecewise decomposition

Abs t r ac t Piecewise linear models systems arise os 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 o r discrete-time aspects. We propose an approach which is based on the state transformation, more particularly the partition of the phose portrait in different regions where each subregion is modeled os a two-dimensionol linear time invariont System. Then the Takagi-Sugeno model, which is a combination of local model is calculated. The simulation results show that the Alpha portition is well-suited for dealing with such a system.