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研究一种不确定离散网络控制系统(NCSs)的H∞鲁棒控制。将带有有界网络诱导和数据包丢失的网络控制系统建模为具有时变输入时滞的闭环系统。运用Lyapunov-Krasovskii函数并结合Jessen不等式与反凸技术,推导出一个使闭环系统渐近鲁棒稳定且满足H∞性能指标的充分条件。与现有的文献相比,需要较少的线性矩阵不等式(LMI)和矩阵变量。因此,所得到的结果保守性低。最后,用一种改进的锥互补线性化(ICCL)算法得到了鲁棒H∞控制器的设计方法。MATLAB仿真结果表明了所提出方法的有效性。
H∞ robust control of an uncertain discrete networked control system (NCSs) is studied. A networked control system with bounded network inference and packet loss is modeled as a closed-loop system with time-varying input skew. Using the Lyapunov-Krasovskii function combined with Jessen inequality and anti-convex technique, a sufficient condition for the closed-loop system to be asymptotically robust and stable and satisfy the H∞ performance criterion is derived. Compared with the existing literature, less linear matrix inequality (LMI) and matrix variables are needed. Therefore, the results obtained are conservative. Finally, an improved robust complementary controller (ICCL) algorithm is proposed to design a robust H∞ controller. MATLAB simulation results show the effectiveness of the proposed method.