Fault estimation for a class of nonlinear semi-Markovian jump systems with partly unknown transition rates and output quantization

This paper studies the fault estimation problem for a class of nonlinear semi-Markovian jump systems with partly unknown transition rates and output quantization. Firstly, a mode-dependent intermediate variable is designed, which constructs an intermediate estimator to estimate fault signals of system. Secondly, the partly unknown transition rates and output quantization are considered and the sufficient conditions of stability for the error system are given in three cases by linear matrix inequalities. Moreover, the proposed nonlinear function satisfies Lipschitz condition, which can be employed in a multitude of practical systems. Finally, simulation results are provided to illustrate the effectiveness of the proposed theoretical results.