TAF PUBLISHING

This paper presents a piecewise affine (PWA) modeling of hybrid control systems in Solar Cell-Battery-Super capacitors. This model aims to design continuous dynamics and discrete dynamics of hybrid systems using PWA, a special model. A hybrid system is a combination of a continuous and discrete system that consists of a continuous interaction between the dynamics represented with differential equations and discrete dynamics represented by automata or network Petri. Current research is about developing a hybrid control in which the hybrid system is viewed as a graph, where edges represent discrete transition and vertices represent continuous activity. In contrast, discrete dynamics occur when there is a transition between the vertices. A hybrid control invariant set for the PWA model of the system is computed. At the PWA, models have been developed through the modeling program MATLAB using the languages HYSDEL (Hybrid Systems Description Language). This guarantees that the proposed model always provides safe evolutions of the system.