Title
Positive real synthesis using matrix inequalities for mechanical networks: application to vehicle suspension
Abstract
This paper presents a procedure for the synthesis of positive real controllers based on matrix inequalities. Problems with H/sub 2/ and H/sub /spl infin// cost are considered and the resulting bilinear matrix inequality problems are solved using local, iterative algorithms. The procedure is applied to the synthesis of passive suspensions for the optimization of certain performance measures for a quarter-car model. The characterization of the positive real constraint using matrix inequalities and the use of a new mechanical element called the inerter, permits the optimization over the entire class of positive real admittances and the realization of the resulting admittance using passive elements. The optimization results are compared with previous results obtained using optimization over fixed-structure admittances. The proposed method can reproduce the previous results and achieve better results in certain cases. Results of the experimental testing of a mechanical network involving an inerter are presented.
Year
DOI
Venue
2006
10.1109/TCST.2005.863663
Decision and Control, 2004. CDC. 43rd IEEE Conference
Keywords
Field
DocType
Network synthesis,Linear matrix inequalities,Vehicles,Control system synthesis,Lyapunov method,Costs,Iterative algorithms,Constraint optimization,Admittance,Testing
Suspension (vehicle),Bilinear matrix inequality,Mathematical optimization,Control theory,Computer science,Matrix (mathematics),Iterative method,Realisation,Inerter,Admittance
Journal
Volume
Issue
ISSN
14
3
0191-2216
ISBN
Citations 
PageRank 
0-7803-8682-5
13
2.35
References 
Authors
3
2
Name
Order
Citations
PageRank
Papageorgiou, C.1132.35
Malcolm C. Smith225047.90