Abstract
In this paper, a new control design procedure for a class of power converters based on hybrid dynamical systems theory is presented. The continuous-time dynamics, as voltage and current signals, and discrete-time dynamics, as the on- off state of the switches, are captured with a hybrid model. This model avoids the use of averaged and approximated models and includes the PWM as well as the sample-and-hold mechanism, commonly used in the industry. Then, another simplified hybrid system, whose trajectories match with the original one, is selected to design the controller and to analyse stability properties. Finally, an estimation of the chattering in steady state of the voltage and current signals is provided. The results are validated through simulation and experiments.
Highlights
Converter control has been widely studied by the electronics and control communities
In this paper, a new control design procedure for a class of power converters based on hybrid dynamical systems theory is presented
The problem arises when the control designer ignores the discrete character of the signal, which is maintained constant for an elapsed time, possibly causing output jitter in steady state
Summary
Converter control has been widely studied by the electronics and control communities. The control community has devoted efforts to the study of new hybrid control techniques [8], such as sliding mode control [9] or model predictive control [10] applied to power converters with the possibility of considering the continuous-time dynamics (voltage and current signals) and discrete-time dynamics (the functioning mode of the switches) This class of hybrid systems is modelled by switched affine state-space equa-. This paper proposes a new control law based on HDS models, avoiding the use of classical approximations derived from averaged systems and guaranteeing stability properties including non-linearities as PWM and sampling-and-hold mechanisms. Satba(φ) is the standard saturation function defined in R → [a, b]
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