Output Feedback Control And Boost Circuit Modeling Of Switching LPV System

Switching system is a sort of hybrid system which is an acomplicated dynamic system contains discrete events and relative continuous variables correspondingly.Switching system is composed of a series of subsystems and a switching law that controls and switches these subsystems.Current research directions of switching system are about system stability analysis,switching law design and so on.In this paper,the concept of MDADT is used to study the control of switching systems and switching LPV system.The achievement is applied to Boost circuits.The main contents are as follows:In this paper,a new optimal control method is proposed based on the concept of MDADT,which is a special case in the process of operation of the periodic switching system.Periodic switching system always has some subsystems.When one cycle time of the subsystems is given,analyze the the stability of the system based on the MDADT first,then calculate the convergence path and design the switching law.Under the control of this switching law,sum of squares of the convergent paths in a single cycle J1 + J2 is minimum,consequently the optimal switching control of the whole system is realized.The simulation results show that the switching law designed by this method can make this kind of periodic switching system achieve the most switching in the case of a single subsystem running time for a specific value.In this paper a new weighted H? robust output feedback controller is proposed basedon the concept of MDADT about controller design for switching LPV systems with variable parameters.Firstly,LPV system must be decomposed and converted into a vertex polytopic model.Then each output feedback controller of each vertex is obtained by calculating the linear matrix inequalities.Finally all controllers must be unified in a whole system.Advantages of this weighted robust H? output feedback controller are shown as global uniform exponential stability of the system and given level of disturbance y.The switching LPV modeling and control of Boost circuit is realized for time-varying parameters such as load change based on the modeling of switching system in Boost circuit.According to the definition of switching system and LPV modeling,this paper validates and realizes the LPV modeling of Boost circuit based on switching system.Lyapunov function is used to analyze the stability of the circuit and then design switching law of control.The advantage of this modeling approach is that all the research methods and results of switchedLPV systems can be extended to DC-DC circuits.A switching system is a class of hybrid systems,the control of the switching system about a periodic switching system and switching LPV system to do related research,and the modeling and control mode switching of LPV applied to the Boost circuit.