LAUSR

ABSTRACT In this paper, the robust H∞ control problem is investigated for conic non-linear stochastic jump systems with partially unknown transition probabilities and uncertain exogenous disturbance. By resorting to free-connection weighting matrix approach and matrix decomposition technique, two less conservative criteria are derived such that the nominal or uncertain Markovian jump non-linear systems are stochastically stable and have an H∞ attention level. In addition, stochastic H∞ control analysis and design are tackled for the class of stochastic jump systems by applying fixed weighting matrix method. Two numerical examples are presented to verify the effectiveness of theoretical results.