Fixed-Time and Predefined-Time Distributed Fault Estimation of Complex Networks Based on Disturbance Decoupling
针对复杂网络，研究了基于干扰解耦的固定时间和预定义时间故障估计问题，设计了分布式观测器和非线性估计器，能在固定或预指定时间内消除干扰并识别故障，仿真验证了有效性。
The disturbance decoupling-based fixed-time and predefined-time fault estimation issues are addressed for complex networks. A distributed fixed-time fault estimation observer subject to two power functions is first constructed, which can not only eliminate the effect of external disturbances but also identify unknown faults in a fixed time. Then, a nonlinear fixed-time fault estimator with two power functions, including state residuals, is presented to enhance the convergence speed of fault estimation. Furthermore, the predefined-time design strategy is investigated to assure the convergence of fault estimation errors in the specified time in advance. Finally, simulation results of complex networks of chaotic systems are shown to verify the advantage of the presented fixed-time and predefined-time schemes.