LAUSR

In this paper, the hidden Markov model method is used to represent the asynchronous mode variations between the original systems and the fault estimator. The robust H∞ performance index is employed when calculating the fault estimator gain, which effectively suppresses the effect of noise on fault estimation performance. The derived conditions of linear matrix inequalities ensure that the error system is stochastically stable, and a prescribed robust H∞ performance index requirement is satisfied. The explicit numerical solutions are obtained on the asynchronous fault estimator gains via resolving the derived conditions of linear matrix inequalities. Finally, the effectiveness and applicability of developed theoretical results are verified through a numerical example and a practical single‐link robot arm application.