6533b7d1fe1ef96bd125d806

RESEARCH PRODUCT

Control of Power Converters with Hybrid Affine Models and Pulse-Width Modulated Inputs

Fabio Gómez-esternAntonino SferlazzaFrancisco GordilloCarolina Albea

subject

Lyapunov function0209 industrial biotechnologySteady state (electronics)Dynamical systems theoryComputer scienceLyapunov analysis02 engineering and technologyDynamical system01 natural sciencessymbols.namesakeHybrid dynamical system020901 industrial engineering & automationSettore ING-INF/04 - AutomaticaControl theory[INFO.INFO-AU]Computer Science [cs]/Automatic Control EngineeringPWMConverter control hybrid dynamical system Lyapunov analysis PWM0101 mathematicsElectrical and Electronic EngineeringJitterhybrid dynamical system010102 general mathematicsState vectorConvertersConverter controlsymbolsPulse-width modulation

description

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. Agence Nationale de la Recherche(Francia) ANR-18-CE40-0022-01 Agencia Estatal de Investigación (AEI) DPI2016-75294-C2-2-R Agencia Estatal de Investigación (AEI) PID2019-105890RJ-100 PID2019-109071RB-I00 Junta de Andalucía (FEDER) US-1264655 Electronic Components and Systems for European Leadership (ECSEL) 783158

yearjournalcountryeditionlanguage
2021-08-01
10.1109/tcsi.2021.3083900http://hdl.handle.net/10447/517096