Han Xiaojing, Ma Yuechao
School of Science, Yanshan University, Qinhuangdao, Hebei, 066004, PR China.
School of Science, Yanshan University, Qinhuangdao, Hebei, 066004, PR China.
ISA Trans. 2019 Jun;89:31-44. doi: 10.1016/j.isatra.2018.12.037. Epub 2018 Dec 29.
This paper investigates the problem of finite-time extended dissipative control for T-S fuzzy time-varying delay systems with nonlinear perturbations via sampled-data and quantized controller. The definition of finite-time bounded mixed extended dissipative of fuzzy systems is first proposed. Based on the constructed Lyapunov-Krasovskii functional(LKF) and Peng-Parks integral inequality, some sufficient conditions are obtained in the form of linear matrix inequalities(LMIs), which are less conservative than other papers. By combining the input delay approach and dynamic quantizer, the sampled-data and quantized controller is designed to guarantee that the T-S fuzzy system is finite-time bounded mixed extended dissipative. Finally, some numerical examples and practical examples are presented to verify the feasibility and effectiveness of the proposed methods.
本文研究了具有非线性扰动的T-S模糊时变延迟系统通过采样数据和量化控制器实现有限时间扩展耗散控制的问题。首先提出了模糊系统有限时间有界混合扩展耗散的定义。基于构造的Lyapunov-Krasovskii泛函（LKF）和彭-帕克斯积分不等式，以线性矩阵不等式（LMI）的形式得到了一些充分条件，这些条件比其他文献中的条件保守性更低。通过结合输入延迟方法和动态量化器，设计了采样数据和量化控制器，以保证T-S模糊系统是有限时间有界混合扩展耗散的。最后，给出了一些数值例子和实际例子，以验证所提方法的可行性和有效性。
