| DC-DC converters are nonlinear time-varying systems and the classic control theory is not suitable to analyze and control these systems. Essentially speaking, as one of the DC-DC converters, boost converter can enhance the input voltage of the circuit and it contains both continuous and discontinuous current mode. The Hybrid systems can easily be described by Hybrid automaton model which is a visible model. The modeling and control method of Boost converter was deeply studied by using Matlab based on the hybrid automaton model. The specific research includes:Firstly, the definition, features and contents of hybrid systems were introduced. This paper established the mathematical model of the Boost converter according to the state space method, the Lagrange equation method and hybrid automaton method. Based on the mathematical model, the controllability, observability and stability of the system was analyzed at last.Considering the hybrid characteristics of the Boost converter, the hybrid automaton model representing the converter is obtained. The hybrid control algorithm is designed by a simple circuit theoretical approach, then the control problem is transferred to the selection of the guard conditions. By using Simulink and Stateflow platform, the control algorithm is implemented, and the simulation results verify the effectiveness of the control algorithm.Finally, the experiment platform was built to verify the control algorithm.The experimental results indicate that the boost converter can run under full operating ranges and has inhibitory effects on both load and input voltage disturbances by the proposed hybrid control algorithm. |
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