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Reducing conservatism in H¥ Robust State Feedback Control design of T-S Fuzzy Systems: A Non-monotonic Approach
IEEE Transactions on Fuzzy Systems ( IF 11.9 ) Pub Date : 2018-02-01 , DOI: 10.1109/tfuzz.2017.2649580 Alireza Nasiri , Sing Kiong Nguang , Akshya Swain , Dhafer J. Almakhles
IEEE Transactions on Fuzzy Systems ( IF 11.9 ) Pub Date : 2018-02-01 , DOI: 10.1109/tfuzz.2017.2649580 Alireza Nasiri , Sing Kiong Nguang , Akshya Swain , Dhafer J. Almakhles
This paper proposes an $H_{\infty }$ robust state-feedback controller design for uncertain Takagi–Sugeno fuzzy systems using a nonmonotonic Lyapunov function. In the nonmonotonic approach, the monotonicity requirement of the Lyapunov function is relaxed by allowing it to increase locally. Based on the nonmonotonic Lyapunov function approach, sufficient conditions for the existence of a robust state-feedback $H_{\infty }$ controller that guarantees stability and a prescribed $H_{\infty }$ performance are given in terms of linear matrix inequalities. The proposed design technique is shown to be less conservative than the existing $k$ -samples variations of the Lyapunov function. The effectiveness of the proposed approach is further illustrated via numerical examples.
中文翻译:
在 TS 模糊系统的 H¥ 鲁棒状态反馈控制设计中降低保守性:一种非单调方法
本文提出了一个$H_{\infty }$ 使用非单调李雅普诺夫函数为不确定的 Takagi-Sugeno 模糊系统设计鲁棒状态反馈控制器。在非单调方法中,Lyapunov 函数的单调性要求通过允许其局部增加而放宽。基于非单调李雅普诺夫函数方法,存在鲁棒状态反馈的充分条件$H_{\infty }$ 保证稳定性和规定的控制器 $H_{\infty }$ 性能是根据线性矩阵不等式给出的。所提出的设计技术被证明不如现有的设计技术保守$千$ -Lyapunov 函数的样本变化。通过数值例子进一步说明了所提出方法的有效性。
更新日期:2018-02-01
中文翻译:
在 TS 模糊系统的 H¥ 鲁棒状态反馈控制设计中降低保守性:一种非单调方法
本文提出了一个