Optimal control of Buck converter by state feedback linearization

Based on the feedback linearization theory of differential geometry theory and the state-space-averaging model of Buck converter working on continuous conduction mode (CCM), the nonlinear state feedback law is proposed. Further, a linear quadratic performance index is presented based on the passivity-based control theory. The state feedback coefficients are optimized using the optimal control theory. The controller is robust to the load variation and variety of parameters. Key waveforms based on simulated extensive work show that the control system has good static and dynamic performance.