@inproceedings{d6d1f958faa940539832c4c6698c7c47,
title = "New LMI formulation for observed-state feedback stabilization",
abstract = "Based on recent results on homogeneous polynomially parameter-dependent (HPPD) solutions to parameter-dependent LMIs (PD-LMIs), we investigate a new LMI formulation for an observed-state feedback comprising of matrix-valued HPPD functions of degree g, deriving a testable LMI condition that is sufficient and asymptotically necessary to existence of a quadratic Lyapunov function assuring quadratical stability. The main contribution of this paper is that the families of finite-dimensional LMI are parameterized in term of the polynomial degree d. As d increases, more and more sufficient LMI conditions are generated, being easier satisfied due to more freedom provided by the new variables involved. An example using new designs to illustrate the LMI relaxation is provided.",
keywords = "Filter design, Homogeneous polynomially parameter-dependent (HPPD) solutions, Parameter-dependent linear matrix inequality (PD-LMI), TS (Takagi-Sugeno) fuzzy models",
author = "Lo, {Ji Chang} and Cho, {Chin Hung} and Lam, {Hak Keung}",
year = "2012",
doi = "10.1109/ICSMC.2012.6378070",
language = "???core.languages.en_GB???",
isbn = "9781467317146",
series = "Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics",
pages = "2218--2223",
booktitle = "Proceedings 2012 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2012",
note = "2012 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2012 ; Conference date: 14-10-2012 Through 17-10-2012",
}