Sliding mode control for descriptor Markovian jump systems with mode-dependent derivative-term coefficient

摘要: This paper concerns sliding mode control problems for a class of descriptor Markovian jump systems with mode-dependent derivative-term coefficient. Firstly, necessary and sufficient condition, under which such type coefficient are stochastically admissible, is proposed by means the strictly linear matrix inequality (LMI) technique. Then novel surface function, in terms both system states inputs, dynamic controller synthesized, ensures reachability predefined finite time. It also shown that stochastic admissibility overall closed loop can be determined checking feasibility series LMIs. Finally, an illustrative example on DC motor provided to demonstrate effectiveness theoretical results.