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Actuator saturation control of continuous-time positive switched T–S fuzzy systems
Journal of the Franklin Institute ( IF 4.1 ) Pub Date : 2021-09-11 , DOI: 10.1016/j.jfranklin.2021.09.001
Gengjiao Yang 1, 2 , Fei Hao 2 , Lin Zhang 2 , Bohu Li 2, 3
Affiliation  

The saturated control problem is investigated for positive switched Takagi–Sugeno (T–S) fuzzy systems with partially controllable subsystems in this paper. Based on the parallel distribution compensation (PDC) algorithm and the convex hull technology, new fuzzy control schemes are proposed for continuous-time positive switched T–S fuzzy systems (PSTSFSs) with actuator saturation. By the multiple linear co-positive Lyapunov function and the slow-fast combined mode-dependent average dwell time (MDADT) approach, sufficient conditions for the stability of continuous-time closed-loop PSTSFSs are developed, which is an extension of the results in previous literature. Furthermore, the least conservative estimation of the attraction domain of PSTSFSs is transformed into an optimization problem. Finally, three simulation examples are given to illustrate the effectiveness of the proposed saturated control schemes.



中文翻译:

连续时间正切换T-S模糊系统的执行器饱和控制

本文研究了具有部分可控子系统的正切换 Takagi-Sugeno (T-S) 模糊系统的饱和控制问题。基于并行分布补偿(PDC)算法和凸包技术,针对执行器饱和的连续时间正切换T-S模糊系统(PSTSFSs)提出了新的模糊控制方案。通过多重线性共正李雅普诺夫函数和慢速组合模式相关平均驻留时间(MDADT)方法,开发了连续时间闭环 PSTSFS 稳定性的充分条件,这是结果的扩展以前的文献。此外,PSTSFSs 的吸引力域的最不保守估计被转化为一个优化问题。最后,

更新日期:2021-11-01
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