Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems

Chun-Tang Chao, Ding-Horng Chen and Juing-Shian Chiou
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Chun-Tang Chao: Department of Electrical Engineering, Southern Taiwan University of Science and Technology, Tainan City 71005, Taiwan
Ding-Horng Chen: Department of Computer Science and Information Engineering, Southern Taiwan University of Science and Technology, Tainan City 71005, Taiwan
Juing-Shian Chiou: Department of Electrical Engineering, Southern Taiwan University of Science and Technology, Tainan City 71005, Taiwan

Mathematics, 2021, vol. 9, issue 19, 1-13

Abstract: New sufficient conditions for delay-independent and delay-dependent robust stability of uncertain fuzzy time-delay systems based on uncertain fuzzy Takagi-Sugeno (T-S) models are presented by using the properties of matrix and norm measurements. Further sufficient conditions are formulated, in terms of the linear matrix inequalities (LMIs) of robust stabilization, and are developed via the technique of parallel distributed compensation (PDC), and then the simplification of the conditions for the controller design of uncertain fuzzy time-delay systems. The proposed methods are simple and effective. Some examples below are presented to illustrate our results.

Keywords: Takagi-Sugeno (T-S) fuzzy system; delay-dependent stability; delay-independent stability; parallel distributed compensation (PDC); time-delay systems; robust control; linear matrix inequalities (LMIs); uncertain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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