Output feedback asynchronous control for singular Markovian jump systems

This paper is concerned with the problem of output feedback asynchronous control for singular Markovian jump systems (SMJSs). The dynamic output feedback controller (DOFC) modes do not need to be synchronized with the system modes and a hidden Markov model (HMM) is adopted to characterize this phenomenon. Firstly, sufficient novel conditions are derived to guarantee that the closed-loop 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, an approach is established to design the DOFC gains. Finally, numerical examples are presented to show the effectiveness of the proposed approach.