@inproceedings{3bfd6e40a10447e98421f51499c61f1a,
title = "LMI relaxations for nonlinear fuzzy control systems via homogeneous polynomials",
abstract = "Based on recent results on homogeneous polynomially parameter-dependent (HPPD) solutions to parameterdependent LMIs (PD-LMIs) that arise from robust stability of linear parameter varying (LPV) systems, we investigate the relaxed conditions characterized by parameterdependent LMIs (PD-LMIs) in terms of firing strength belonging to the unit simplex, exploiting the algebraic property of P{\'o}lya's Theorem to construct a family of finite-dimensional LMI relaxations. The main contribution of this paper is that sets of relaxed LMIs are parameterized in term of the polynomial degree d. As d increases, progressively less conservative LMI conditions are generated, being easier satisfied due to more freedom provided by new variables involved. An example to illustrate the relaxation is provided.",
keywords = "Homogeneous polynomials, Linear matrix inequality (LMI), Parameter-dependent LMIs (PD-LMIs), Relaxation, TS fuzzy models",
author = "Wan, {Jia Ren} and Lo, {Ji Chang}",
year = "2008",
doi = "10.1109/FUZZY.2008.4630356",
language = "???core.languages.en_GB???",
isbn = "9781424418190",
series = "IEEE International Conference on Fuzzy Systems",
pages = "134--140",
booktitle = "2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008",
note = "2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 ; Conference date: 01-06-2008 Through 06-06-2008",
}