Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 68, Issue 8, Pages 3485-3494Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2021.3083900
Keywords
Pulse width modulation; Switches; Modulation; Mathematical model; Computational modeling; Matrix converters; Convergence; Converter control; PWM; hybrid dynamical system; Lyapunov analysis
Categories
Funding
- Agence Nationale de la Recherche (ANR)-France [ANR18-CE40-0022-01]
- Agencia Estatal de Investigacion (AEI) Spain [PID2019-105890RJ-100, PID2019-109071RB-I00, DPI2016-75294-C2-2-R]
- Junta de Andalucia Program Operative FEDER Andalucia [US-1264655]
- ECSEL Joint Undertaking [783158]
Ask authors/readers for more resources
This paper applies hybrid dynamical systems theory to the analysis and control of switched converters with PWM inputs, capturing modulation effects by enlarging the state vector. A control law based on Lyapunov function is proposed, and steady state jitter is analyzed to limit output chattering. The approach provides a deeper understanding of modulation effects in closed-loop dynamics, avoiding issues associated with averaged models, with experimental validation of the method.
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available