Gain‐scheduled controller design for linear parameter varying systems subject to pole assignment

Summary This paper addresses a pole‐assignment control problem for discrete‐time linear parameter varying (LPV) systems. Based on LPV modeling approach, time‐varying systems can be mathematically described via combining several linear systems and a specific weighting function. For the LPV systems, g...

Full description

Saved in:
Bibliographic Details
Published in:Optimal control applications & methods 2020-09, Vol.41 (5), p.1439-1450
Main Authors: Ku, Cheung‐Chieh, Chang, Wen‐Jer, Yen, Chih‐Yu, Chen, Guan‐Wei
Format: Article
Language:English
Subjects:
Control stability
Control systems design
Controllers
Design parameters
gain‐scheduled control
Liapunov functions
Linear matrix inequalities
Linear systems
LMI
LPV systems
Lyapunov function
pole assignment
Pole placement
Weighting functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Summary This paper addresses a pole‐assignment control problem for discrete‐time linear parameter varying (LPV) systems. Based on LPV modeling approach, time‐varying systems can be mathematically described via combining several linear systems and a specific weighting function. For the LPV systems, gain‐scheduled (GS) control scheme is applied to deal with stabilization problem subject to pole‐assignment constraint. Moreover, two cases of Lyapunov function are respectively employed to derive some sufficient conditions which belong to linear matrix inequality (LMI) problems. Solving those derived conditions, the corresponding GS scheduled controller can be designed such that the asymptotical stability and pole assignment of LPV systems are guaranteed. Finally, a controller problem of truck‐trailer system is used to demonstrate the applicability and effectiveness of the proposed design methods.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2606