THE RESEARCH OF STATE VARIABLE FEEDBACK LINEARIZATION METHOD ON THE CCM BOOST CONVERTER AND NONLINEAR PID CONTROL LAW

Based on the differential geometry theory and traditional PID control method, the paper setups an affine nonlinear mode of Boost converter working on current conduction mode (CCM). Then the nonlinear coordinate conversion matrix and the nonlinear state variable feedback law are proposed to get the state variable feedback exact linearization mode of Boost converter. The conventional PID control law is integrated into the nonlinear decoupled control strategy based on the output error PID control mechanisms. The research result shows that the nonlinear PI decoupled control method is superior to the customer PI control method in the dynamic response performance and steady-stage error regulating characteristics. The result also shows that the piecewise linear model as the Boost converter can be completely decoupled by using the state variable feedback exact linearization method integrated with PI control law, so it is a generality theory with practice significance.