网络环境下连续切换系统观测器和控制器设计

Observer and controller design for continuous switched systems in the network environment

研究具有随机时变时滞和系统不确定性的网络化切换控制系统基于观测器的鲁棒H∞控制器设计问题.首先,采用满足Bernoulli分布的随机序列来描述数据传输过程中的时变时滞现象;然后,在具有平均驻留时间(ADT)的切换信号下,设计基于观测器的控制器,目的是估计系统的状态以及衡量系统对扰动的鲁棒性;最后,基于李雅普诺夫(LKF)方法给出系统均方指数稳定且具有满意的H∞性能指标的充分条件,并以线性矩阵不等式(LMI)形式给出观测器和控制器的求解方法.仿真结果验证了所提出方法的有效性.

The problem of observer-based robust H∞ controller design for networked switched control systems with random time-varying delay and uncertainties is studied. Firstly, the time varying delays in data transmission are modeled as a random sequence satisfying a Bernoulli distribution. Then, under the switching signal with average dwell time(ADT),an observer-based controller which can estimate states and measure robustness to disturbance of the system is developed.Finally, by using a Lyapunov-Krasovskii function(LKF), a sufficient condition is developed to ensure the system mean square exponential stability with a satisfied H∞ performance criterion, and the solutions for the observer and controller are obtained in terms of linear matrix inequalities(LMIs). Simulation results show the effectiveness of the proposed method.