Distributed Fault-Tolerant State Estimation for a Class of Nonlinear Systems Over Sensor Networks With Sensor Faults and Random Link Failures
Ming Gao, Yichun Niu, Li Sheng
Abstract
This article is concerned with the problem of distributed fault-tolerant state estimation for sector-bounded nonlinear systems over sensor networks. The advantage of the distributed fault-tolerant state estimation algorithm is that the estimator can have the given <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> performance in the simultaneous presence of sensor faults and communication link failures. Based on the fault-diagnosis technique, the sensor fault of each sensor node is detected and estimated by the designed fault-diagnosis unit. The temporary communication link failures are modeled as a set of independent random variables obeying the Bernoulli distribution. Subsequently, the active fault-tolerant estimation scheme is established and several sufficient conditions are obtained, which guarantee the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> performance of estimation error system and the detectability of sensor faults. Finally, an illustrative example is provided to verify the effectiveness of the proposed method.