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Stabilization bound of singularly perturbed switched nonlinear systems subject to actuator saturation using the Takagi–Sugeno fuzzy model
Asian Journal of Control ( IF 2.4 ) Pub Date : 2020-10-29 , DOI: 10.1002/asjc.2474
Qianjin Wang 1 , Lei Ma 2 , Dongyang Wang 1 , Xiaoping Ma 2
Affiliation  

This paper addresses the measurement problem of stability bound for saturated singularly perturbed switched nonlinear systems (SPSNSs) through the Takagi–Sugeno (T-S) fuzzy model method. The common Lyapunov function method is applied to construct a state-feedback stabilization controller that incorporates ε (the singular perturbation parameter) such that the asymptotic stability can be achieved for the switched closed-loop system under arbitrary switching. Additionally, a basin of attraction is determined by solving a convex optimization problem. Finally, a numerical example and a practical engineering problem are presented to verify the usefulness and feasibility of the proposed results.

中文翻译:

使用 Takagi-Sugeno 模糊模型的受致动器饱和影响的奇异扰动切换非线性系统的稳定界

本文通过 Takagi-Sugeno (TS) 模糊模型方法解决了饱和奇异扰动切换非线性系统 (SPSNS) 的稳定性边界测量问题。应用常见的李雅普诺夫函数方法构建了一个状态反馈稳定控制器,该控制器结合了ε(奇异扰动参数),使得切换闭环系统在任意切换下都能实现渐近稳定性。此外,通过解决凸优化问题来确定吸引力盆地。最后,给出了一个数值例子和一个实际的工程问题,以验证所提出结果的有用性和可行性。
更新日期:2020-10-29
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