采样数据系统最优诊断观测器设计  

Optimal diagnostic observer for sampled-data systems

作　　者：邱爱兵[1] 文成林[2] 姜斌[1] 

机构地区：[1]南京航空航天大学自动化科学院,江苏南京210016 [2]杭州电子科技大学信息与控制研究所,浙江杭州310018

出　　处：《控制理论与应用》2010年第8期979-984,共6页Control Theory & Applications

基　　金：国家自然科学基金重点资助项目(60934009);国家自然科学青年基金资助项目(60801048)

摘　　要：研究采样数据（sampled—data，SD）系统最优诊断观测器的直接设计方法．首先从传递函数角度分析一般离散时间系统诊断观测器的Luenberger条件，由此构造出SD诊断观测器，并推导出其混杂动态关系．然后将SD故障检测问题定义为一个特定的比值型优化问题，并应用互内外分解法和代数方法构制其最优诊断观测器，使得产生的离散时间残差对连续时间未知输入具有鲁棒性，但对故障却是敏感的．仿真结果验证了所提设计方法的有效性．The direct design method of optimal diagnostic observer for sampled-data systems is investigated. Firstly, the Luenberger condition of the diagnostic observer for the general discrete-time systems is studied from the transfer function viewpoint. By this condition, an appropriate diagnostic observer for sampled-data systems is built and its hybrid dynamics is derived. Then, the sampled-data fault detection problem is formulated as a ratio-type optimization problem. By using the co-inner-outer factorization technique and the algebra method, we obtain a general optimal solution which makes the discrete-time residuals robust to the continuous-time unknown inputs, but sensitive to faults. Simulation results of a numerical example are presented to demonstrate the effectiveness of the proposed method.

关 键 词：故障检测 采样数据系统 诊断观测器 最优设计 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]