Asynchronous output feedback control for singular Markovian jump systems under input saturation

This paper analyzes the problem of asynchronous control for singular Markovian jump systems (SMJSs) under input saturation via dynamic output feedback (DOF) control technology. The DOF controller modes do not need to be synchronized with the system modes and a hidden Markov model (HMM) is adopted to characterize this phenomenon. A convex set method is used to solve the saturation problem. Firstly, a sufficient condition is derived to guarantee that the system is stochastically admissible (SA) with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> performance. Secondly, the solution to solving DOF controller gains is obtained. Moreover, the maximization domain of attraction (DOA) is estimated by optimal algorithm. Finally, two examples are given to show the effectiveness of the proposed method.