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 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 closedloop dynamics, avoiding the problems associated with the use averaged models. Experimental results validate the proposed method.

Deep Learning-Aided Sensorless Control Approach for PV Converters in DC Nanogrids

“…Content may change prior to final publication. [34]. As a result of the PWM signal PV converter is triggered through the duty cycle (d).…”

Sliding Mode Control of Quadratic Boost Converters Based on Min-Type Control Strategy

“…In [21], the analysis and design of a min-type strategy to control a synchronous boost converter in continuous conduction mode are proposed. In [22], to control the converter, a PWM control algorithm is designed, starting from a hybrid model and using an approach based on the averaged state space model, having the duty-cycle as an input variable.…”

“…This leads to different conditions, as will be shown in the paper. Moreover, the control strategy proposed in this manuscript follows a different approach from the one described in [18], [19], [20], [22], where a PWM modulation is proposed, as it foresees that the power switch is controlled at a variable frequency and therefore requires a greater calculation and implementation effort. At the same time, the proposed variable frequency control strategy allows for obtaining better performances in transient behavior.…”

A Saturated Higher Order Sliding Mode Control Approach for DC/DC Converters

“…Several different theoretical frameworks have been adopted to solve this task. For instance, in [4] a hybrid systems approach was applied to the analysis and control of switched converters with PWM inputs. Discontinuous sliding mode control for DC/DC converters control was deeply discussed in [5], where the discontinuous signal generated by first-order Sliding Mode Control (SMC) is directly applied to the converter switches, avoiding the PWM modulation.…”