Albea, Carolina , Sferlazza, Antonino , Gordillo, Francisco , GÓMEZ-ESTERN AGUILAR, FABIO
No
IEEE Trans. Circuits Syst. I-Regul. Pap.
Article
Científica
4.14
1.344
01/08/2021
000673472700032
2-s2.0-85107346257
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.
Pulse width modulation; Switches; Modulation; Mathematical model; Computational modeling; Matrix converters; Convergence; Converter control; PWM; hybrid dynamical system; Lyapunov analysis