Control of Power Converters With Hybrid Affine Models and Pulse-Width Modulated Inputs

In this paper, hybrid dynamical systems theory is applied to the analysis and control of switched converters with Pulse-Width Modulated (PWM) inputs. The system described by a state-space model continuous flows discrete jumps, without averaged equations. modulation effects are captured in full using time-dependent signals, enlarging state vector include PWM waveform generation process. Furthermore, sample-and-hold mechanism associated sampling frequency also taken into account approach. A law proposed based on Lyapunov function candidate. convergence sets steady jitter, inherent PWM-based controllers, analyzed estimating limit for augmented state. Consequently, output chattering can be bounded. By theory, designer gains deeper understanding effect closed-loop dynamics, avoiding problems use models. Experimental results validate method.