Please use this identifier to cite or link to this item:
Type: Artigo de periódico
Title: Linear matrix inequality characterisation for H(infinity) and H(2) guaranteed cost gain-scheduling quadratic stabilisation of linear time-varying polytopic systems
Author: Montagner, VF
Oliveira, RCLF
Peres, PLD
Bliman, PA
Abstract: Necessary and sufficient linear matrix inequality (LMI) conditions are provided to compute parameter-dependent state feedback control gains that ensure closed-loop quadratic stability for linear systems affected by arbitrarily fast time-varying parameters inside a polytope. The proposed conditions, based on an extension of Polya's theorem and on the systematic construction of homogeneous polynomial solutions for parameter-dependent LMIs, are written as a sequence of progressively less and less conservative LMI conditions. Necessity is attained as the level of relaxation increases, providing a parameter-dependent state feedback gain that quadratically stabilises the system whenever such a gain exists. Moreover, parameter-dependent gains of arbitrary degree assuring quadratic stability with H(infinity) and H(2) guaranteed costs are also provided. The convergence to the minimum values of the attainable H(infinity) and H(2) guaranteed costs under closed-loop quadratic stability occurs as the degree of the polynomially parameter-dependent gain increases. Numerical results illustrate the efficiency of the proposed conditions.
Country: Inglaterra
Editor: Inst Engineering Technology-iet
Rights: fechado
Identifier DOI: 10.1049/iet-cta:20070037
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
WOS000251512900018.pdf177.08 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.