Gain‐scheduled continuous‐time control using polytope‐bounded inexact scheduling parameters

Summary This paper investigates the problem of gain‐scheduled output feedback control design for continuous‐time linear parameter varying systems. The scheduling parameters are supposed to be measured in real time with absolute uncertainties and proportional uncertainties, simultaneously. Using a no...

Full description

Saved in:
Bibliographic Details
Published in:International journal of robust and nonlinear control 2018-11, Vol.28 (17), p.5557-5574
Main Author: Sadeghzadeh, Arash
Format: Article
Language:English
Subjects:
continuous‐time system
Feedback control
gain‐scheduled control
H-infinity control
inexact scheduling parameter
Linear matrix inequalities
Matrix methods
Output feedback
Parameter uncertainty
polytope‐bounded uncertainty
Scheduling
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 investigates the problem of gain‐scheduled output feedback control design for continuous‐time linear parameter varying systems. The scheduling parameters are supposed to be measured in real time with absolute uncertainties and proportional uncertainties, simultaneously. Using a nonlinear transformation, the problem is formulated in terms of solutions to a set of parameter‐dependent linear matrix inequalities, exploiting parameter searches for two scalar values. H∞‐type problem is treated using parameter‐dependent Lyapunov and auxiliary matrices. One of the advantages of the presented method lies in its less conservatism in comparison with the available approaches. Some numerical examples are given to illustrate the effectiveness and advantage of the proposed method.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.4333