具有非线性扰动的网络化随机系统鲁棒控制

Robust control of networked stochastic systems with nonlinear perturbations

针对具有非线性扰动的网络化随机系统的鲁棒控制问题,考虑到反馈控制环中由于实时通讯网络的存在会不可避免地出现网络诱导时延和数据丢失现象,建立了连续时间网络化随机系统模型。在此基础上,设计了状态反馈控制器,使得闭环系统最终均方有界。利用广义系统变换和Lyapunov-Krasovskii泛函方法,得到了闭环系统最终均方有界的充分条件,证明了理想的状态反馈控制器可以通过求解线性矩阵不等式得到。该方法可推广到以双线性随机系统为受控对象的网络化控制系统的镇定控制器设计中。

This with nonlinear paper is devoted to studying the problem of robust control of networked stochastic systems perturbations. In view of the inevitable presence of network-induced delay and transmitted data dropout due to the insertion of the real-time communication network in the feedback control loop, a continuous-time networked stochastic system model is established. Based on the model, a state feedback controller is designed so that the closed-loop system is ultimately bounded in the mean square. By means of a descriptor model transformation of the system and Lyapunov-Krasovskii functional approach, a sufficient condition for the ultimate boundedness in the mean square of the closed-loop system is presented, It is shown that the state feedback controller can be designed by solving a linear matrix inequality. The in this paper can be extended to the design of stabilizing controllers of networked control systems where the plants are bilinear stochastic systems.