Hybrid dynamic systems- analysis and modeling

In this thesis the issue with the description, modeling and analysis of hybrid dynamic systems is solved. The main goal is to select appropriate method for solving hybrid dynamic systems and to aim to question on solving controllability, observability and stability of these systems. Two types of hybrid systems are covered in this work. In the first part, the description and simulation of hybrid systems that are compiled of continous and discrete parts with the systems of discrete affair are specified. For the description and modeling of hybrid automata and hybrid Petri nets have been used. The possibilities mentioned above are showned on the simple examples. Second part of this work covers the description, modeling and analysis of hybrid systems that are compiled of links continous and discreate dynamic system. The state space has been used. The universal state equations are mentioned and have been used for the description of the hybrid system and the structure of the matrixes A, B, C, D. The relation and basic method are spin off for the analysis of hybrid dynamic systems. From the analysis point of view, these are general methods for the controllability, observability, stability and steady state of hybrid dynamic systems. The examples of hybrid control systems for mentioned methods are specified. If it is allowed, the results are verified by the simulation in MATLAB Simulink background