Title
Interval observer design for LPV systems with parametric uncertainty
Abstract
Observer design for dynamical systems with both known and unknown time-varying parameters is of significant interest in a number of real-world applications. This class of systems has been rarely addressed in the existing literature. This paper develops an interval observer design methodology for linear parameter varying (LPV) systems with parametric uncertainty. With information on upper and lower bounds of the uncertain parameters, an interval observer that produces an envelope covering all possible state trajectories is presented. The application of the proposed algorithm in an important vehicle state estimation problem which aims at minimizing the worst-case envelope of the side-slip-angle estimate in the presence of uncertain tire cornering stiffness parameters and varying vehicle speed is presented. The obtained observer is evaluated in simulation using CarSim, a commercial industry-standard vehicle simulation software. The results verify the value of the developed observer design method.
Year
DOI
Venue
2015
10.1016/j.automatica.2015.07.001
Automatica
Keywords
Field
DocType
Interval observer,Linear-parameter-varying (LPV) systems,Linear Matrix Inequalities (LMIs),Vehicle state estimation
State observer,Mathematical optimization,Simulation software,Control theory,Upper and lower bounds,CarSim,Control engineering,Design methods,Parametric statistics,Dynamical systems theory,Observer (quantum physics),Mathematics
Journal
Volume
Issue
ISSN
60
C
0005-1098
Citations 
PageRank 
References 
15
0.73
11
Authors
3
Name
Order
Citations
PageRank
Yan Wang1181.17
David M. Bevly218827.06
Rajesh Rajamani345888.34