Hybrid System Control Using Discrete State Space Analysis

This paper proposes a complementary discrete state space formulation of hybrid automata model in order to consider, in a systematical and visual way, internal and external influences to a hybrid system. The complemented model considers a system with hybrid states, discrete and continuous inputs, discrete and continuous outputs and internal events, all in a discrete time approximation. When various influences affect its dynamics, explosiveness and complexity of hybrid automata model is simplified using a discrete state space formulation. In order to formulate control strategies in a straightforward manner, this formulation decomposes all possible discrete influences considering the different available degrees of freedom. Using a nonlinear hybrid tank system, a modeling and hybrid control strategy formulation is shown. Systematical modeling, hybrid behavior, and control effectiveness are depicted by simulation results.