Control of power converters with hybrid affine models and pulse-width modulated inputs
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 ows and discrete jumps, without averaged equations. The modulation e ects are...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Loyola Andalucía |
| Repositorio: | Brújula |
| OAI Identifier: | oai:repositorio.uloyola.es:20.500.12412/4026 |
| Acceso en línea: | https://hdl.handle.net/20.500.12412/4026 |
| Access Level: | acceso abierto |
| Palabra clave: | Converter control PWM Hybrid dynamical system Lyapunov analysis |
| Sumario: | 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 ows and discrete jumps, without averaged equations. The modulation e ects 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 mecha- nism 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 e ect of modulation in the closed- loop dynamics, avoiding the problems associated with the use averaged models. Experimental results validate the proposed method. |
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