Modelling, simulation and control of hybrid system integrating logic, dynamics, and constraints using hybrid automaton, APROS and mixed integer quadratic optimization algorithm

This paper present modeling, simulation and control of hybrid system who integrating logic, dynamics and constraints. System. The Hybrid Automaton is used to modelling a transition system with continuous dynamics. The framework it consist of a finite set of location and transition for the specification of discrete dynamics or states called control mode. Each control mode is indexed set of continuous variables describing continuous dynamics. Using APROS tools, it permit to simulate the behavior of the hybrid system approaching in the experiment case to taking into account several aspects: type and model of fluid, actuators, pipes, loss of pressure, drive time of valve. The Mixed Logic, dynamics formalism we permit to describe the both dynamics defining by logic rules, continuous dynamics and operating constraints. These are described by linear dynamic equations subject to linear inequalities involving continuous, discrete and auxiliary variables take into account the interconnections between themes. This model is used to synthesis of a predictive control law under constraints over a prediction horizon. The controller requires solution of on line mixed integer quadratic algorithm to solve an optimization problem. Simulation was performed to illustrate performances and efficiently of these methods.