Local Stabilization of Polynomial Fuzzy Model with Time Delay: SOS Approach

被引：11

作者：

Gassara, Hamdi ^{[1
,2
]}

Siala, Fatma ^{[2
]}

El Hajjaji, Ahmed ^{[1
]}

Chaabane, Mohamed ^{[2
]}

机构：

[1] Univ Picardie Jules Verne, MIS Lab, F-80000 Amiens, France

[2] Natl Sch Engineers Sfax, STA Lab, Sfax, Tunisia

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2017年 / 15卷 / 01期

关键词：

Domain Of Attraction (DOA); local stability; polynomial fuzzy systems; polynomial Lyapunov Krasovskii functional; sum of squares (SOS); time delay; STABILITY ANALYSIS; NONLINEAR-SYSTEMS; SUM;

D O I：

10.1007/s12555-014-0575-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a design method of control for Polynomial Fuzzy Models (PFM) with time delay is developed. By using a Polynomial Lyapunov Krasovskii Functional (PLKF) with double integral and by imposing bounds on the derivatives of each state, less conservative sufficient conditions are established to ensure the local stability of the closed loop system. Furthermore, a Domain Of Attraction (DOA) in which the initial states are ensured to converge asymptotically to the origin is estimated. The resulting conditions are formulated in terms of Sum-Of- Squares (SOS) which can be numerically (partially symbolically) solved via the recently developed SOSTOOLS. Some examples are provided to show the effectiveness and the merit of the design procedure.

引用

页码：385 / 393

页数：9

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