Exponential Passification of Markovian Jump Nonlinear Systems with Partially Known Transition Rates

Abstract EN

The problems of delay-dependent exponential passivity analysis and exponential passification of uncertain Markovian jump systems (MJSs) with partially known transition rates are investigated.

In the deterministic model, the time-varying delay is in a given range and the uncertainties are assumed to be norm bounded.

With constructing appropriate Lyapunov-Krasovskii functional (LKF) combining with Jensen’s inequality and the free-weighting matrix method, delay-dependent exponential passification conditions are obtained in terms of linear matrix inequalities (LMI).

Based on the condition, desired state-feedback controllers are designed, which guarantee that the closed-loop MJS is exponentially passive.

Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.