Input–output linearisation of a fourth-order input-affine system describing the evolution of a three-phase/switch/level (Vienna) rectifier
- 1 January 2011
- journal article
- Published by Institution of Engineering and Technology (IET) in IET Power Electronics
- Vol. 4 (8), 867-883
- https://doi.org/10.1049/iet-pel.2010.0158
Abstract
This study presents an analytical approach for proper selection of output functions to be regulated for the Vienna rectifier such that the resultant closed-loop systems are minimum phase. Specifically, two different adaptive control methodologies based on the input–output linearisation are developed and categorised. In the first category, three output functions are introduced and imposed to be zero by using three dynamic feedback laws. On the basis of states to be regulated, four different cases are studied and it is shown that only one of these cases results in a one-dimensional zero dynamics with an asymptotically stable equilibrium point. In the second category, two output functions are defined and output zeroing problem is solved with two control inputs. In addition, the remaining control is used to feedback linearise the resultant two-dimensional zero dynamics. Eighteen different cases are studied to demonstrate that only in one of these cases, the corresponding zero dynamics is feedback linearisable. Stability properties of the adaptive systems are investigated to show that the proposed adaptive controllers are capable of DC output voltage regulation and power factor correction in the presence of parametric and non-parametric uncertainties. Finally, simulation results are presented to confirm the validity of the developed approaches.Keywords
This publication has 19 references indexed in Scilit:
- Real-Time Implementation of a Discrete Nonlinearity Compensating Multiloops Control Technique for a 1.5-kW Three-Phase/Switch/Level Vienna ConverterIEEE Transactions on Industrial Electronics, 2008
- Modeling and Coordinate Control of Circulating Currents in Parallel Three-Phase Boost RectifiersIEEE Transactions on Industrial Electronics, 2007
- Single-Stage AC/DC Converter With Input-Current Dead-Zone Control for Wide Input Voltage RangesIEEE Transactions on Industrial Electronics, 2007
- New Power Factor Correction AC-DC Converter With Reduced Storage Capacitor VoltageIEEE Transactions on Industrial Electronics, 2007
- Three-Phase Rectifier With Near Sinusoidal Input Currents and Capacitors Connected on the AC SideIEEE Transactions on Industrial Electronics, 2006
- Differential Mode Input Filter Design for a Three-Phase Buck-Type PWM Rectifier Based on Modeling of the EMC Test ReceiverIEEE Transactions on Industrial Electronics, 2006
- Improving mains current quality for three-phase three-switch buck-type PWM rectifiersIEEE Transactions on Power Electronics, 2006
- Three-dimensional space-vector modulation algorithm for four-leg multilevel converters using abc coordinatesIEEE Transactions on Industrial Electronics, 2006
- Multiple output AC/DC converter with an internal DC UPSIEEE Transactions on Industrial Electronics, 2006
- Novel hybrid 12-pulse boost-type rectifier with controlled output voltageIEEE Transactions on Aerospace and Electronic Systems, 2005