High Order Boolean Sliding Mode Control And Feedback Linearization Optimum Control Of Buck Inverter

With the rapid development of power electronic technology, the inverters are getting more and more widespread in many application fields such as National defense, communication, industry and transportation, at the same time, in the new energy industry development has the broad application prospect. The inverters'performance are getting higher and higher because it has some advantages. Insufficiency which exists in view of the traditional inverter, the people obtain from the main circuit or the control policy to improve and the enhancement inversion power source's performance index , because of value of the new inverter based on the converters, they are researching hot field of the inverter circuits. The inverters based on converters are kinds of typical switch nonlinear system, applies the tradition control theory in this kind of system has the big limitation, its dynamic response and the control precision are not entirely as desired. The nonlinear control theory is introduced in inverter's control policy to enhances the control performance, will have the important theory significance and the practical significance.Sliding-mode control is a kind of special nonlinear control technology, it has the wide stable region, the quickly dynamic response and insensitive to the parameter variation and the perturbation and so on merits. From the inverter's switch operational factor, it is precisely periodic changes the structure system, sliding-mode control strategy is the strong suitable control mode to itself. This paper summarizes and induces existing inverter control technology foundation, launches the research regarding inverter's sliding-mode control technology, proposed Boolean sliding-mode control policy based on the multistage system, and applies separately it in the Buck inverter, has obtained the quite good control effect.This article deep research the Buck DC-DC converter realizing the inverter power source's method and the theory based on system analysis, equivalent circuit model and mathematical model; Gives Boolean sliding-mode control method theoretical analysis based on the similar Lyapunov function. In view of the single-Buck inverter, proposed one kind single-Buck inverter with the soft switch, has established the third-order system space average model, has constructed the total state variable sliding-mode switch function, has given Boolean sliding-mode control's actual control law based on the Liapunov function. The value simulation and the experimental result indicated that the single Buck inverter raised system's efficiency, confirms the single Buck inverter to use the Boolean sliding-mode control the accuracy and the feasibility. At the same time, based on the double Buck inverter, the application state space average modeling law, has established the double Buck inverter's fourth-order affine system model, has constructed the fourth-order system total state second-order sliding-mode switch function, similarly uses Boolean sliding-mode control policy based on the Liapunov function target, carried on the analysis to the system to obtain the actual control law, the simulations and the experiments show theoretical analysis accuracy. Finally, there was the comparative analysis of the sliding-mode control based on different high-order system of the Buck inverter.The feedback precise linearization nonlinear control method based on the differential geometry theory is researched by massive researcher this method's core thought is a nonlinear system through the state transition is one complete or the partial linear system, can therefore the application linear system control skill; This method already successfully used in solving the electrical power system, the motor control and the power electronic direct-current converter control domain, however these research have not involved to the inverter switch nonlinear system This article applies for the first time the differential geometry theory in the inverter control, proposed based on the Buck inverter's state feedback linearization nonlinear control policy, this control policy is established on the Buck inverter nonlinear mathematical model in the foundation, uses the state feedback precise linearization method to infer the linear system model, and auxiliary by mature linear control theory, obtains the good control effect, is a new attempt of the linear control theory applying in the inverter field.Introduced briefly the feedback linearization nonlinear control elementary theory, analyzed switch converter feedback linearization characteristic, and gave the nonlinear system to realize state feedback linearization condition and the feedback precise linearization design procedure. Take the Buck inverter as the object of study, carries on the modeling analysis to it, obtained is suitable for the differential geometry theory affine nonlinear model, the application differential geometry theoretical analysis Buck inverter state feedback precise linearization necessary and sufficient condition, the inverter obtained the corresponding coordinate transformation matrix separately to the single Buck inverter and double Buck, transformed the original nonlinear system as the linear system. In view of the Buck inverters'linear system, there are weighting matrixs Q and R of two control policies and the Matrixs are from the quadratic founction target optimum control and passivity-based target optimum control based on the quadratic founction, obtains the linear feedback control law, based on this obtains the original nonlinear system's feedback control law. The simulation result indicated that uses the feedback system which the nonlinear control policy constructs to have a better steady state response and the control precision, simultaneously the dynamic response characteristic has the distinct improvement, causes the differential geometry theory has the general theory and the practical application significance in the inverter control system's application. Finally, on the single Buck and double inverters, there was the comparative analysis of the boolean sliding-mode control based on high-order system and state variable feedback exact linearization optimum control.