具有数据丢包的非线性奇异脉冲系统量化控制

Quantized control for nonlinear singular impulsive systems with data dropouts

中文关键词  奇异脉冲系统  数据丢包  信号量化  渐近稳定性

英文关键词  singular impulsive systems  data dropouts  signal quantization  asymptotically stability

中文摘要

      考虑网络传输中存在的数据丢包和信号量化问题, 研究了基于数据丢包的非线性奇异脉冲系统设量化反馈控制器的设计方法. 首先给出一般非线性奇异脉冲系统的数学描述, 并在此基础上建立相应的具有丢包的闭环量化反馈控制系统的数学模型. 其次, 根据李雅普诺夫稳定性理论, 给出了奇异脉冲系统的渐近稳定的充分条件以及量化反馈控制器的设计方法. 应用本设计方法, 可以选择满足代数矩阵不等式条件的量化反馈增益, 实现系统渐近稳定. 最后通过对Chua混沌系统仿真, 表明利用本文设计的量化控制器能够保证闭环非线性奇异脉冲系统在具有数据丢包的情况下渐近稳定.

英文摘要

      Considering the problem of data dropouts and signal quantization in network transmission, we propose a method for designing a quantized feedback controller for a nonlinear singular impulsive system with data dropouts. The mathematical description of the nonlinear singular impulsive system is given and the mathematical model of the corresponding closed-loop quantized feedback control system with data dropouts is built. The sufficient condition of the asymptotic stability for the singular pulse system is derived according to Lyapunov function theory; and the design method of the quantized feedback controller is presented. In applying the given design method, the quantized feedback gain is chosen to satisfy a group of matrix algebra inequalities, so that the system asymptotic stability can be ensured. Simulation results of a Chua-system is provided to show the asymptotically stability of close-loop nonlinear singular pulse system with data dropouts, when using the quantized feedback controller.