@inproceedings{0ef26185cde047a58af5c2f60e0e2a4d,
title = "Polynomial fuzzy-model-based control systems: Stability analysis via RHS copositive relaxation",
abstract = "Based on recent results on homogeneous polynomially parameter-dependent (HPPD) solutions to parameter-dependent LMIs (PD-LMIs), we investigate, via right-hand side (RHS) relaxations, the stability analysis of polynomial fuzzy-model-based control systems. The PFMB control system under consideration requires that the polynomial fuzzy model and controller share (1) perfect match or (2) un-perfect match of premise membership functions. This paper proposes a new SOS condition via RHS relaxation and reduces the conservatism of existing PD-LMI results. To verify the analytical theories regarding PFMB stability, two examples are demonstrated to show the effectiveness of the proposed approach.",
keywords = "Parameter-dependent linear matrix inequality (PD-LMI), Polynomial TS fuzzy models, Right-hand side (RHS) relaxations, Sum of squares (SOS)",
author = "Lo, {Ji Chang} and Lin, {Feng Yi} and Yang, {Ge Chang}",
year = "2013",
doi = "10.1109/FUZZ-IEEE.2013.6622353",
language = "???core.languages.en_GB???",
isbn = "9781479900220",
series = "IEEE International Conference on Fuzzy Systems",
booktitle = "FUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems",
note = "2013 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013 ; Conference date: 07-07-2013 Through 10-07-2013",
}