Optimal Controller of a Buck DC-DC Converter Using the Uncertain Load as Stochastic Noise

This paper presents an optimal design approach for the pulsewidth modulation switching control of a buck DC-DC converter by modeling the converter as a stochastic linear system with noise of uncertain load. Firstly, we temporarily assume that the stochastic system is available with complete state, and then derive an optimal state feedback control for the optimal noise regulation in steady state. Secondly, from the steady-state viewpoint, the optimal state feedback control is transferred into an equivalent error-driven servo controller, and then the designed optimal control law is implemented using a phase lead-lag controller. A distinctive advantage of this approach is that the optimal controller's parameters are actually independent of the statistics of the assumed uncertain load noise, so the benefit of optimal noise regulation is assured for global operation. Furthermore, the optimal controller is easily implemented. As a matter of fact, by just using the simplest possible operation amplifier circuits, the controller can be implemented.