This paper studies the adaptive fault estimation problems for stochastic Markovian jump systems (MJSs) with time delays. With the aid of the selected Lyapunov-Krasovskii functional, the adaptive fault estimation algorithm based on adaptive observer is proposed to enhance the rapidity and accuracy performance of fault estimation. A sufficient condition on the existence of adaptive observer is presented and proved by means of linear matrix inequalities techniques. The presented results are extended to multiple time-delayed MJSs. Simulation results illustrate that the validity of the proposed adaptive faults estimation algorithms.
Shuping He. Fei Liu. "Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems." Abstr. Appl. Anal. 2012 (SI09) 1 - 11, 2012. https://doi.org/10.1155/2012/176419