Output feedback control for singular Markovian jump systems with uncertain transition rates

The static output feedback stabilisation problems for singular Markovian jump system are studied. Transition rates are assumed to be generally uncertain, namely, they could be unknown or only their estimate values are known. A criterion on the existence of an output feedback controller is established in terms of bilinear matrix inequalities (BMIs) to guarantee the closedloop systems are stochastically admissible. To solve the BMIs in the criteria, the other criterion is presented by using a less conservative linearisation method, and an algorithm is proposed to solve the related conditions. Finally, three numerical examples are given to show the effectiveness of their methods.