不确定奇异随机分布系统的故障诊断和容错控制

Fault diagnosis and fault tolerant control for non-Gaussian uncertain singular stochastic distribution control systems

针对带有概率密度函数逼近误差的非高斯不确定奇异随机分布控制系统提出鲁棒故障诊断算法,在有模型不确定性和概率密度函数逼近误差的情况下设计故障诊断观测器估计故障信息。故障发生后,利用故障信息重构跟踪控制器使得输出概率密度函数仍能够跟踪期望概率密度函数。利用李雅普诺夫稳定性理论分析观测误差动态系统、闭环控制系统和跟踪误差动态系统的稳定性,相应的增益矩阵由线性矩阵不等式求解。仿真实例验证了算法对时变故障的有效性。

A tracking controller was constructed to make the output PDF track the desired one before fault occurring. A robust fault diagnosis and fault tolerant tracking control algorithm of non-Gaussian uncertain singular stochastic distribution control systems with probability density function approximation error was proposed. A fault diagnosis observer was designed to estimate the fault information with the disturbance of uncertainty and probability density function approximation error. When the fault occurred, the tracking controller was reconfigured to ensure that the post-fault output probability density function still tracked the desired distribution. The Lyapunov stability theory was used to analyze the stability of the observation error dynamic system, the closed-loop system and the tracking error dynamic system, the gain matrices were obtained by solving the corresponding linear matrix inequalities. An illustrated example was given to demonstrate the effectiveness of the proposed algorithm for time-varying fault.