1. Control of Power Converters With Hybrid Affine Models and Pulse-Width Modulated Inputs.
- Author
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Albea, Carolina, Sferlazza, Antonino, Gordillo, Francisco, and Gomez-Estern, Fabio
- Subjects
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HYBRID power , *DYNAMICAL systems , *SYSTEMS theory , *HYBRID systems , *LYAPUNOV functions , *PULSE width modulation , *DC-to-DC converters - Abstract
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 is described by a state-space model with continuous flows and discrete jumps, without averaged equations. The modulation effects are captured in full without using time-dependent signals, by enlarging the state vector to include the PWM waveform generation process. Furthermore, the sample-and-hold mechanism associated with the sampling frequency is also taken into account with this approach. A control law is proposed based on a Lyapunov function candidate. Furthermore, convergence sets and the steady state jitter, inherent to PWM-based controllers, are analyzed estimating limit sets for the augmented state. Consequently, output chattering can be bounded. By using hybrid dynamical system theory, the control designer gains a deeper understanding of the effect of modulation in the closed-loop dynamics, avoiding the problems associated with the use averaged models. Experimental results validate the proposed method. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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