Asynchronous Bumpless Transfer Finite-Time H∞ Control for Markovian Jump Systems With Application to Circuit System

This brief focuses on the asynchronous bumpless transfer finite-time H infinity control problem for a class of Markovian jump systems (MJSs). The hidden Markov principle is introduced to represent the asynchronous jumping phenomenon between the MJSs and the designed bumpless transfer finite-time H infinity controller. The asynchronous jumping transient behavior of MJSs is described by using a bumpless transfer constraint index. First, an asynchronous bumpless transfer constraint is proposed to limit the control bumps caused by asynchronous jumping. Then, an asynchronous bumpless transfer finite-time H infinity controller is constructed, and sufficient conditions are given to ensure the finite-time H infinity performance for MJSs under the proposed asynchronous bumpless transfer method. Finally, an RLC circuit model is provided as an application example to show the effectiveness of the proposed control method.