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Study on Bifurcation Analysis and Takagi-Sugeno Fuzzy Sampled-Data Stabilization of PMSM Systems
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  • R Vadivel,
  • Sabarathinam Srinivasan,
  • Yongbao Wu,
  • NALLAPPAN GUNASEKARAN
R Vadivel
Phuket Rajabhat University

Corresponding Author:vadivelsr@yahoo.com

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Sabarathinam Srinivasan
Bharathidasan University
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Yongbao Wu
Northwestern Polytechnical University
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NALLAPPAN GUNASEKARAN
Toyota Technological Institute
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Abstract

The bifurcation, stability and stabilization analysis of permanent magnet synchronous motor (PMSM) systems are investigated in this paper. To begin, a new class of delay-dependent sufficient conditions is suggested with respect to the information of the membership function, a relevant Lyapunov-Krasovskii functional (LKF), and the overall information connected with the real sampling pattern, so that the fuzzy system is ensured to be stable with a weighted dissipativity efficiency. Second, sampled-data control is intended to stabilize the Takagi-Sugeno (T-S) fuzzy system with specified integral inequalities based on the obtained results. The required conditions are stated in terms of the feasibility of linear matrix inequalities (LMIs) under the dissipativity output index, and can readily be verified by MATLAB toolbox. Finally, verification examples are contributed to demonstrated the efficacy of the techniques established in this paper.
17 May 2021Submitted to Mathematical Methods in the Applied Sciences
17 May 2021Submission Checks Completed
17 May 2021Assigned to Editor
28 May 2021Reviewer(s) Assigned
05 Jul 2021Review(s) Completed, Editorial Evaluation Pending
06 Jul 2021Editorial Decision: Revise Minor
12 Aug 20211st Revision Received
12 Aug 2021Submission Checks Completed
12 Aug 2021Assigned to Editor
25 Aug 2021Reviewer(s) Assigned
18 Sep 2021Review(s) Completed, Editorial Evaluation Pending
02 Oct 2021Editorial Decision: Accept