网络控制系统保性能控制
Guaranteed cost control of networked control systems
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摘要: 针对网络控制系统中时延不确定因素,将时延的不确定性转换为系统状态方程系数矩阵的不确定性,网络控制系统对象模型为具有时滞的不确定离散模型.在此模型的基础上,将网络控制系统的保性能控制问题转化为研究时滞的不确定离散系统的鲁棒保性能控制问题.利用Lya-punov理论及线性矩阵不等式(LMI)方法,证明了通过状态反馈控制,使网络控制系统保性能控制的充分条件等价于求解LMI.仿真示例验证了该控制方法的有效性.Abstract: To solve the problem of uncertain time delay in networked control systems (NCS), the uncertain of time delay was converted to the uncertainty of parameter matrixes, and the model of NCS was simplified as an uncertain discrete model with time delay. The guaranteed cost control problem for NCS was translated to a robust guaranteed cost control problem for an uncertainty discrete system with time delay based on the above model. Lyapunov theory and linear matrix inequality (LMI) were applied to prove the sufficient condition of guaranteed cost control for NCS was equivalent to solving a LMI by a static state feedback. Simulation results show effectiveness of the proposed control method.