篇名 | Sum-of-Squares Stability Analysis of Takagi-Sugeno Systems Based on Multiple Polynomial Lyapunov Functions |
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卷期 | 15:1 |
作者 | Kevin Guelton 、 Noureddine Manamanni 、 Chinh-Cuong Duong 、 Darius L. Koumba-Emianiwe |
頁次 | 001-008 |
關鍵字 | Polynomial Takagi-Sugeno systems 、 Multiple polynomial Lyapunov function 、 Sum of squares 、 Relaxed stability conditions 、 EI 、 SCI 、 SCIE 、 Scopus |
出刊日期 | 201303 |
In this paper, another step on relaxation for Takagi- Sugeno systems’ stability analysis is addressed. Inspired from non-quadratic Lyapunov functions (NQLF), regarding to quadratic ones, a multiple polynomial Lyapunov function (MPLF) is proposed as an extension to polynomial Lyapunov function approaches. Following the latter post-LMI challenge, the obtained stability conditions are written in terms of a sum-of-squares (SOS) optimization problem. The proposed MPLF includes the well-studied NQLF ones as a special case. Moreover, the proposed SOS based stability conditions don’t require unknownparameters in advance, as well as guarantee, when a
solution exists, global stability. Therefore, these drawbacks of classical LMI based non-quadratic approaches are overcame.