具有均匀量化器的网络控制系统的一致有界性

Uniformly Bound of Networked Control Systems with Uniform Quantizer

针对连续被控对象、系统总时延小于1个采样周期的网络控制系统建立了离散模型.利用Lyapunov稳定性理论和线性矩阵不等式方法给出了使网络控制系统稳定的控制方法.实现了均匀量化情况下系统的一致有界控制,给出了系统收敛上界.通过调节量化器的误差可以将系统状态控制在一定的范围内.实际中据此可设计相应的量化级别及编码长度等参数.通过仿真验证控制方法的有效性并分析了量化误差对系统收敛性的影响.

Networked control systems（NCS）with continuous plant and a shorter delay than one sampling period was described by a discrete model.A sufficient condition of stability for NCS neglected the quantization error was derived by Lyapunov method and linear matrix inequality approach.Moreover,a state feedback controller was designed to ensure the NCS with uniform quantizer to be uniformly bounded,and the upper bound of NCS was obtained by accommodating the quantizer error.Quantized level and code length could be obtained in practice.At last,a matlab simulation example was given to illustrate the effectiveness of the proposed method,and the effect of quantized error was analyzed.