Fuzzy-Affine-Model-Based Memory Filter Design of Nonlinear Systems With Time-Varying Delay
Fuzzy-Affine-Model-Based Memory Filter Design of Nonlinear Systems With Time-Varying Delay
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DOI：
10.1109/tfuzz.2017.2686352
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发表时间：
2018-04
影响因子：
11.9
通讯作者：
Yanling Wei;Jianbin Qiu;H. Karimi
中科院分区：
文献类型：
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作者：
Yanling Wei;Jianbin Qiu;H. Karimi
在时滞相关框架下研究了具有时变时滞的非线性系统的分段仿射记忆滤波问题.非线性对象的特征在于一个连续时间的Takagi-Sugeno模糊仿射模型的参数不确定性。其目的是为滤波器综合过程提供一种新的方法，具有较小的保守性。通过构造一个新的Lyapunov-Krasovskii泛函，结合Wirtinger积分不等式、S-凸不等式和S-过程，首先得到了一个改进的滤波误差系统$\mathscr {H}_{\infty }$性能分析准则，然后通过一些线性化技术，实现了分段仿射记忆滤波器的综合.结果表明，所需的滤波器增益的存在可以明确地确定的凸优化问题的解决方案。最后，仿真研究，以揭示所开发的方法的有效性和保守性。该方法可进一步推广到网络环境下具有综合通信时延的连续模糊仿射动态系统的分析与综合。
This paper studies the piecewise-affine memory $\mathscr {H}_{\infty }$ filtering problem for nonlinear systems with time-varying delay in a delay-dependent framework. The nonlinear plant is characterized by a continuous-time Takagi–Sugeno fuzzy-affine model with parametric uncertainties. The purpose is to develop a new approach for filter synthesis procedure with less conservatism. Specifically, by constructing a novel Lyapunov–Krasovskii functional, together with a Wirtinger-based integral inequality, reciprocally convex inequality and S-procedure, an improved criterion is first attained for analyzing the $\mathscr {H}_{\infty }$ performance of the filtering error system, and then via some linearization techniques, the piecewise-affine memory filter synthesis is carried out. It is shown that the existence of desired filter gains can be explicitly determined by the solution of a convex optimization problem. Finally, simulation studies are presented to reveal the effectiveness and less conservatism of the developed approaches. It is anticipated that the proposed scheme can be further extended to the analysis and synthesis of continuous-time fuzzy-affine dynamic systems with integrated communication delays in the networked circumstance.