Title
Robust LQR Control for PWM Converters: An LMI Approach
Abstract
A consistent framework for robust linear quadratic regulators (LQRs) control of power converters is presented. Systems with conventional LQR controllers present good stability properties and are optimal with respect to a certain performance index. However, LQR control does not assure robust stability when the system is highly uncertain. In this paper, a convex model of converter dynamics is obtained taking into account uncertainty of parameters. In addition, the LQR control for switching converters is reviewed. In order to apply the LQR control in the uncertain converter case, we propose to optimize the performance index by using linear matrix inequalities (LMIs). As a consequence, a new robust control method for dc-dc converters is derived. This LMI-LQR control is compared with classical LQR control when designing a boost regulator. Performance of both cases is discussed for load and line perturbations, working at nominal and non nominal conditions. Finally, the correctness of the proposed approach is verified with experimental prototypes.
Year
DOI
Venue
2009
10.1109/TIE.2009.2017556
IEEE Transactions on Industrial Electronics
Keywords
Field
DocType
PWM power convertors,linear matrix inequalities,linear quadratic control,robust control,PWM converters,linear matrix inequalities,linear quadratic regulators,optimal control,robust LQR control,robust stability,Optimal control,power electronics,robustness
Boost converter,Optimal control,Control theory,Robustness (computer science),Control engineering,Converters,Power electronics,Engineering,Control system,Robust control,Linear-quadratic regulator
Journal
Volume
Issue
ISSN
56
7
0278-0046
Citations 
PageRank 
References 
27
2.26
9
Authors
4
Name
Order
Citations
PageRank
Carlos Olalla1455.45
Ramon Leyva2688.29
El Aroudi, A.3709.31
Isabelle Queinnec4697.22