IEEE Trans Cybern. 2015 Aug;45(8):1450-62. doi: 10.1109/TCYB.2014.2352291. Epub 2014 Sep 12.
This paper focuses on the robust output feedback H₂/H∞ control issue for a class of discrete-time networked control systems with uncertain parameters and external disturbance. Sensor-to-controller and controller-to-actuator packet dropouts and time delays are considered simultaneously. According to the stochastic characteristic of the packet dropouts and time delays, a model based on a Markov jump system framework is proposed to randomly compensate for the adverse effect of the two-channel packet dropouts and time delays. To analyze the robust stability of the resulting closed-loop system, a Lyapunov function is proposed, based on which sufficient conditions for the existence of the H₂/H∞ controller are derived in terms of linear matrix inequalities, ensuring robust stochastic stability as well as the prescribed H₂ and H∞ performance. Finally, an angular positioning system is exploited to demonstrate the effectiveness and applicability of the proposed design strategy.
本文针对一类具有不确定参数和外部干扰的离散时间网络控制系统，研究了鲁棒输出反馈 H₂/H∞控制问题。同时考虑了传感器到控制器和控制器到执行器的数据包丢失和时滞。根据数据包丢失和时滞的随机特性，提出了一种基于马尔可夫跳变系统框架的模型，用于随机补偿双通道数据包丢失和时滞的不利影响。为了分析闭环系统的鲁棒稳定性，提出了一个李雅普诺夫函数，并在此基础上，基于线性矩阵不等式推导出了存在 H₂/H∞控制器的充分条件，保证了鲁棒随机稳定性以及规定的 H₂和 H∞性能。最后，利用角位置系统验证了所提出设计策略的有效性和适用性。
