一类基于双通道网络的离散Markov跳跃系统的鲁棒H_∞控制

Robust H_∞ control for a class of discrete-time Markovian jump systems over two-channel networks

研究了一类离散时间Markov跳跃系统在单边双通道通信网络下的鲁棒H∞控制问题.网络仅存在于传感器至控制器端,同时Markov被控对象的状态和模态信息经由不同网络特性的信道传递给控制器.随机丢包和时延分别建模为二值分布的Bernoulli过程和有限状态的Markov过程.通过采用扩维技术和Lyapunov方法,构建了依赖系统模态和网络情况的状态反馈控制器以确保系统的鲁棒稳定性,并满足给定的H∞性能指标.最后通过仿真算例验证所提出结论的有效性.

The robust H∞ control problem for a class of discrete-time Markovian jump systems over two-channel networks was studied.Networks existed only on the sensor-to-controller side,while,the system state and the mode signal of the plant were transmitted to the controller through two channels having different characteristics.The behaviors of random packet losses and delays were separately modeled as a Bernoulli binary distribution and a Markov process taking values in a finite state space.By adopting the augmenting technique and the Lyapunov method,a mode-dependent and network-dependent state feedback controller was constructed to ensure the robust stabilization of the closed-loop system and the prescribed H∞ disturbance attenuation level was achieved.A numerical example was given to show the validity of the result.