6533b85cfe1ef96bd12bc93e

RESEARCH PRODUCT

Dynamic Output-Feedback Passivity Control for Fuzzy Systems under Variable Sampling

Hamid Reza KarimiXingjian SunBen NiuHongyi Li

subject

Lyapunov stabilityState variableMathematical optimizationArticle Subjectlcsh:MathematicsGeneral MathematicsGeneral EngineeringSampling (statistics)Fuzzy control systemlcsh:QA1-939Fuzzy logicNonlinear systemlcsh:TA1-2040Control theoryConvex optimizationVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413lcsh:Engineering (General). Civil engineering (General)Mathematics

description

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/767093 Open Access This paper concerns the problem of dynamic output-feedback control for a class of nonlinear systems with nonuniform uncertain sampling via Takagi-Sugeno (T-S) fuzzy control approach. The sampling is not required to be periodic, and the state variables are not required to be measurable. A new type fuzzy dynamic output-feedback sampled-data controller is constructed, and a novel time-dependent Lyapunov-Krasovskii functional is chosen for fuzzy systems under variable sampling. By using Lyapunov stability theory, a sufficient condition for very-strict passive analysis of fuzzy systems with nonuniformuncertain sampling is derived. Based on this condition, a novel fuzzy dynamic output-feedback controller is designed such that the closed-loop system is very-strictly passive. The existence condition of the controller can be solved by convex optimization approach. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

yearjournalcountryeditionlanguage
2013-01-01Mathematical Problems in Engineering
https://doi.org/10.1155/2013/767093