Stochastic stabilization of Semi-Markov jump uncertain systems: Dynamic output feedback case

In this paper, we address the problem of the robust dynamic output feedback control design for the Semi-Markov jump linear system (S-MJLS) with Linear Fraction uncertainties. In the S-MJLS, the transition rates is time-varying. Numerically solvable sufficient condition for the stochastic stability of S-MJLS is established in terms of linear matrix inequalities. To reduce the conservativeness, the robust dynamic output feedback controller is accordingly developed via partitioning the upper and lower bounds of the time-varying transition rate. Two numerical examples are given to show the validity and potential of the developed results.