Robust normalization and H∞ stabilization for uncertain Takagi-Sugeno fuzzy singular systems with time-delays
作者：
Highlights：
• Simultaneous robust normalization and H-infinity control problems are first addressed in a systematic way for uncertain TSFSSs.
• Meaningfully, the uncertainties are involved in all system matrices including derivative matrices, which is more complicated in the design.
• There are no restrictions imposed on the rank of derivative matrices with uncertainties, that is, the derivative matrices may be singular.
• Without using any model transformations, the fuzzy PDSFC is effectively synthesized by resorting to the free-weighting matrix method.
• All the conditions are presented as strict LMIs. Thus, it can be handled conveniently by Matlab.
摘要
•Simultaneous robust normalization and H-infinity control problems are first addressed in a systematic way for uncertain TSFSSs.•Meaningfully, the uncertainties are involved in all system matrices including derivative matrices, which is more complicated in the design.•There are no restrictions imposed on the rank of derivative matrices with uncertainties, that is, the derivative matrices may be singular.•Without using any model transformations, the fuzzy PDSFC is effectively synthesized by resorting to the free-weighting matrix method.•All the conditions are presented as strict LMIs. Thus, it can be handled conveniently by Matlab.
论文关键词：Different derivative matrices,Linear matrix inequality,Nonlinear singular systems,Robust normalization and H∞ stabilization,Takagi-Sugeno fuzzy models
论文评审过程：Received 26 March 2020, Revised 9 June 2020, Accepted 12 July 2020, Available online 24 July 2020, Version of Record 24 July 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125534
