一类连续时间网络控制系统分析及控制器设计

摘要

针对网络控制系统中存在数据传输时延和数据包丢失，以及由被控对象和控制器之间的不同步给系统所带来的稳定性问题，提出了一种状态反馈控制器设计方法。采用带有延时的被控对象模型和Lyapunov泛函，得到了时滞相关稳定性的充分条件，并以线性矩阵不等式（LMI）的形式表示出来，最后仿真实例验证了所得控制器设计方法的有效性和可行性。%Considering the stability caused by the communication delay, packet dropout and the asynchronism between the plant and the controller in networked control systems, We devecop a method of state - feedback controller design for a class of networked control systems. The sufficient condition for the delay - dependent stability is obtained by employing a plant with delay and Lyapunov function. Then the sufficient condition expresses with linear matrix inequality （LMI）. Finally simulation example demonstrates the effectiveness and feasibility of the proposed controller design method.