This paper investigates L1 control problem for a class of nonlinear stochastic networked control systems (NCSs) described by Takagi-Sugeno (T-S) fuzzy model. By exploiting a delay-dependent and basis-dependent Lyapunov-Krasovskii function and by means of the Itô stochastic differential equation technique, results on stability and L1 performance are proposed for the T-S fuzzy stochastic NCS. Specially, attention is focused on the fuzzy controller design that guarantees the closed-loop T-S fuzzy stochastic NCS is mean-square asymptotically stable and satisfies a prescribed L1 noise attenuation level γ with respect to all persistent and amplitude-bounded disturbance input signals. To reduce the conservatism of design, the signal transmission delay, data packet dropout, and quantization have been taken into consideration in the controller design. The corresponding design problem of L1 controller is converted into a convex optimization problem by solving a set of linear matrix inequalities (LMIs). Finally, simulation examples are provided to illustrate the feasibility and effectiveness of the proposed method.

中文翻译：

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Itô 随机非线性网络控制系统的 L1 控制

本文研究了由 Takagi-Sugeno (TS) 模糊模型描述的一类非线性随机网络控制系统 (NCS) 的 L1 控制问题。通过利用延迟相关和基础相关的 Lyapunov-Krasovskii 函数并借助 Itô 随机微分方程技术，提出了 TS 模糊随机 NCS 的稳定性和 L1 性能结果。特别地，注意力集中在模糊控制器设计上，该设计保证闭环 TS 模糊随机 NCS 是均方渐近稳定的，并满足所有持续和幅度有界干扰输入信号的规定 L1 噪声衰减水平 γ。为了降低设计的保守性，控制器设计中考虑了信号传输延迟、数据包丢失和量化。L1 控制器的相应设计问题通过求解一组线性矩阵不等式 (LMI) 转化为凸优化问题。最后，通过仿真实例说明了所提出方法的可行性和有效性。