建立一种非线性连续被控对象、系统总时延小于一个采样周期的网络控制系统连续模型.通过线性化及离散化的方法将非线性系统转换一种离散化的模型.利用Lyapunov稳定性理论和线性矩阵不等式方法,设计控制方法使系统稳定.在系统包含均匀量化器的情况下,设计控制方法使系统一致有界.通过调节量化器的误差范围,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.
A nonlinear networked control systems (NCS) with continuous plant and a time-delay shorter than one sampling period is described by a continuous model. This continuous model is transformed into a discrete one by using the methods of linearization and discretization. A sufficient condition of stability for the transformed NCS is derived by using Lyapunov method and linear matrix inequality approach. A state feedback controller is designed for ensuring the NCS with uniform quantizer to be uniformly bounded. By adjusting the quantization error range, states of the system can be controlled to stay within a finite range, and the quantized level and the code length can be determined accordingly. The Matlab simulation of an example is given to illustrate the effectiveness of the proposed method. Meanwhile, the effect of the quantized error is analyzed.