Robust finite frequency H∞ static output feedback control for uncertain fuzzy systems via a sum‐of‐squares approach

Ismail Er‐Rachid; Redouane Chaibi; El Houssaine TissirAbdelaziz Hmamed

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Robust finite frequency H∞ static output feedback control for uncertain fuzzy systems via a sum‐of‐squares approach

机译：Robust finite frequency H∞ static output feedback control for uncertain fuzzy systems via a sum‐of‐squares approach

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Abstract This article deals with the problem of robust static output feedback H∞ control in finite frequency (FF) domain for polynomial Takagi–Sugeno fuzzy systems. By using generalized Kalman–Yakubovich–Popov lemma and polynomial Lyapunov functions, sufficient conditions are proposed for controllers design in terms of sum of squares. These conditions include neither transformation matrices nor equality constraints, which simplifies the numerical solution. The proposed method is designed in the FF domain to reduce the conservativeness generated by those designed in the full frequency domain. Some numerical examples are provided to demonstrate the applicability of the proposed approach.

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来源
《Optimal Control Applications and Methods》 |2022年第1期|158-177|共20页
作者
Ismail Er‐Rachid; Redouane Chaibi; El Houssaine TissirAbdelaziz Hmamed;
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作者单位

Sultan Moulay Slimane University;

Sidi Mohamed Ben Abdellah University;

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原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
finite frequency domain; H∞ controller; polynomial Takagi–Sugeno system; static output feedback; sum of squares;

Robust finite frequency H∞ static output feedback control for uncertain fuzzy systems via a sum‐of‐squares approach

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