随机通讯时延网络化切换系统H_∞状态反馈控制

H_∞ state feedback control for network switched systems with random communication delays

针对数据包在网络中传输的一步随机时延情形,研究了离散切换系统在所设计切换律作用下的H∞状态反馈问题。数据包包含系统的状态信号、切换信号和控制信号,其时延由1个满足Bernoulli分布的随机变量描述。利用切换Lyapunov函数和基于状态的切换规则,设计状态反馈控制器使得闭环系统在均方意义下指数稳定且具有H∞扰动衰减度γ,控制器的参数通过求解一组线性矩阵不等式获得,数值仿真结果表明了所提出设计方法的有效性。

Under the condition of random communication delays, the H∞ state feedback problem was investigated for a class of discrete time switched systems with a state-based switching law. The delay of data packets include the state signal, the switched signal and the control signal and the delays satisfy the Bernoulli random binary distribution. By using switched Lyapunov function, the state feedback controllers for each subsystem were obtained. The closed-loop systems are asymptotically mean-square stable and satisfy the prescribed H∞ performance constraint. The control parameters can be obtained by solving a set of linear matrix inequalities(LMIs). Finally, a numerical example is provided to illustrate the usefulness of the proposed design method.