On designing H∞ controller for a class of nonlinear Markovian jump systems with parametric uncertainties

This paper studies the problem of stochastic stability and disturbance attenuation for a class of uncertain nonlinear continuous-time systems with Markovian jumping parameters. The uncertainties are assumed to be nonlinear and state control and external disturbance dependent. A sufficient condition is presented to solve the above problem. An H_∞ controller is designed which is in terms of the solutions of a set of coupled Riccati inequalities. A numerical example is included to demonstrate the potential of the proposed technique