“…The stabilization of the residual system is proven based on the Lyapunov method. Compared with some previous results [
23, 38,43,45,46], the main contributions of this paper are summarized as follows: (1) the mismatched fault is estimated by using the k‐step fault estimation method which the accurate fault information can be provided for fault‐tolerant controller design procedure; (2) based on the information of k‐step fault estimation, a dynamic output feedback fault‐tolerant controller is designed to ensure the output PDF of post‐fault SDC system can still be maintained at a fault‐free level; (3) unlike the reference [
45], the mismatched fault is considered in this paper which is common in practical system; note that the observer gain parameters were determined by making the system matrix Hurwitz in reference [
46], while the gain parameters are obtained by solving LMIs at the given
performance in this paper; in some previous results of fault diagnosis for SDC system, for example, previous studies [
23, 38,43], the influence from the derivative of the mismatched actuator fault on the error dynamic system was ignored, therefore, the application of k‐step fault estimation method to SDC system has heuristic significance for improving the accuracy of fault diagnosis for SDC system.…”