马尔可夫跳跃系统的鲁棒故障检测

对时滞依赖于模态的离散马尔可夫跳跃系统的鲁槔故障检测问题进行了研究.利用多面体系统表征系统时变参数的不确定性,在其顶点求解可以显著减少计算量.基于依赖于系统模态的滤波器构造残差产生系统,所设计的故障检测滤波器,其参数矩阵不是常值,而是以同一概率随着系统模态的变化而变化.设置H∞性能指标并利用线性矩阵不等式推导出故障检测滤波器存在的充分条件,求解出滤波器的参数矩阵.仿真结果表明:设计得到的鲁棒故障检测滤波器能够保证对故障信号的敏感性,并对外界扰动信号和系统时变参数的不确定性具有鲁棒性.     

基于多面体系统表征的不确定性系统的鲁棒故障检测

采用直接估计故障的方法研究用多面体系统表示的模型不确定性系统的鲁棒故障检测问题.基于全阶滤波器构造残差产生系统,采用线性矩阵不等式方法,推导出故障检测滤波器存在的充分条件.实例仿真结果表明,设计得到的故障检测滤波器能够很好地复现故障信号,并对外界扰动信号和系统的不确定性具有鲁棒性.     

Robust H∞ directional control for a sampled-data autonomous airship

A robust H∞ directional controller for a sampled-data autonomous airship with polytopic parameter uncertainties was proposed. By input delay approach, the linearized airship model was transformed into a continuous-time system with time-varying delay. Sufficient conditions were then established based on the constructed Lyapunov-Krasovskii functional, which guarantee that the system is mean-square exponentially stable with H∞ performance. The desired controller can be obtained by solving the obtained conditions. Simulation results show that guaranteed minimum H∞ performance γ=1.4037 and fast response of attitude for sampled-data autonomous airship are achieved in spite of the existence of parameter uncertainties.