Title
Positive real dynamic output feedback controller synthesis
Abstract
In this paper we describe a synthesis procedure for the design of output feedback controllers subject to a strictly positive real constraint. The procedure addresses the minimisation of the ℋ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -norm, in the absence of assumptions typically made for the standard ℋ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -control problem. In order to impose the additional strictly positive real constraint on the controller, the well-known separation principle is applied to the corresponding linear matrix inequalities. Thus, convex numerical algorithms for the suboptimal ℋ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -strictly positive real control problem are provided based on a sequential design of the separated linear matrix inequalities. The controller synthesis procedure is validated in two example systems. In the first example, the control task is to design a compensator for the classical Euler-Benoulli beam and as the second example, a disturbance rejection controller for a stable nonminimum phase system is considered.
Year
DOI
Venue
2016
10.1109/MED.2016.7535887
2016 24th Mediterranean Conference on Control and Automation (MED)
Keywords
Field
DocType
stable nonminimum phase system,disturbance rejection controller,Euler-Benoulli beam,sequential design,suboptimal ℋ2-strictly positive real control problem,convex numerical algorithms,linear matrix inequalities,separation principle,standard ℋ2-control problem,ℋ2-norm,minimisation,positive real dynamic output feedback controller synthesis
Control theory,Mathematical optimization,Public records,Separation principle,Feedback controller,Control theory,Computer science,Matrix (mathematics),Regular polygon,Control engineering,Minimisation (psychology),Sequential analysis
Conference
ISSN
ISBN
Citations 
2325-369X
978-1-4673-8347-9
0
PageRank 
References 
Authors
0.34
3
4
Name
Order
Citations
PageRank
Berno J. E. Misgeld13614.91
Lin Liu231.40
Lukas Hewing3254.27
Steffen Leonhardt431978.74