Please use this identifier to cite or link to this item:
|Type:||Artigo de periódico|
|Title:||Robust H(infinity) performance using lifted polynomial parameter-dependent Lyapunov functions|
|Author:||De Oliveira, MC|
|Abstract:||This paper investigates the robust H(infinity) performance of time-invariant linear uncertain systems where the uncertainty is in polytopic domains. Robust H(infinity) is checked by constructing a quadratic parameter-dependent Lyapunov function. The matrix associated with this quadratic Lyapunov function is a polynomial function of the uncertain parameters, expressed as a particular polynomial matrix involving kappa powers of the dynamic matrix of the system and one symmetric matrix to be determined. The degree of this polynomial matrix function is arbitrary. Finsler's Lemma is used to lift the obtained stability conditions into a larger space in which sufficient stability tests can be developed in the form of linear matrix inequalities. As kappa increases, less conservative H(infinity) evaluations are obtained. Both continuous and discrete-time systems are investigated. Numerical examples illustrate the method and compare the present results with similar works in the literature.|
|Editor:||Taylor & Francis Ltd|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.