Singular adaptive sliding mode control for Markovian jump systems
In this paper,the problem of adaptive sliding mode control for continuous-time Markovian jump systems with partially known transition probabilities and matched nonlinearities and matched exter-nal disturbances is investigated by using a singular system method.Firstly,the integral-type sliding mode surface is designed according to the singular system approach and the singular Markovian jump system is obtained by combining the original system and the sliding mode dynamics.Secondly,sufficient conditions to guarantee the stochastic admissibility of singular Markovian jump systems are given in the form of linear matrix inequalities.Then,the adaptive control is combined to ensure the reaching conditions of the state trajectory.Finally,the effectiveness of the results is verified by a simulation case.
国家科技期刊平台
NSTL
万方数据
维普
