The state feedback controllers design problem is investigated in this paper for a class of networked control systems (NCS) with non-integral multiple of sampling period delay and input constraints.Based on enhancing the read frequency of the buffer, the delay is modeled as a Markov chain and the closed-loop system is described as a Markovian switched system.Sufficient conditions for the closed-loop NCS to be stochastically stable and the performance index to be upper bounded are derived by using the rolling optimization principle based on MPC. Furthermore,the state feedback control laws are obtained by solving a convex optimization problem with linear matrix inequalities (LMIs) constraints. Finally, an example is given to demonstrate the effectiveness of the proposed method.%针对具有非整数倍采样周期时延和输入约束的网络控制系统(NCS),研究了使得闭环系统随机稳定的状态反馈控制律的设计问题.在执行器读取缓冲区状态的更新频率快于系统输出采样频率的工作模式下,将NCS建模为Markovian切换系统,减少了等待时延.基于模型预测控制(MPC)的滚动优化原理,给出了闭环NCS随机稳定且具有性能指标上界的充分条件,并通过求解一个具有线性矩阵不等式(LMIs)约束的凸优化问题,给出了模式依赖状态反馈控制律的设计方法,最后仿真研究验证了所提出方法的有效性.
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