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Gain‐scheduled continuous‐time control using polytope‐bounded inexact scheduling parameters
Author(s) -
Sadeghzadeh Arash
Publication year - 2018
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4333
Subject(s) - polytope , gain scheduling , bounded function , mathematics , control theory (sociology) , mathematical optimization , nonlinear system , lyapunov function , scheduling (production processes) , linear matrix inequality , computer science , control (management) , mathematical analysis , physics , quantum mechanics , artificial intelligence , discrete mathematics
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.