Finite-time bumpless transfer output feedback control for Markovian jump systems

This note addresses the problem of finite-time bumpless transfer control for a class of Markovian jump systems via static output feedback controller under partially unknown transition probabilities. The fundamental goal is to create a finite-time bumpless transfer controller which reduces control bumps while guaranteeing finite-time stability. First, the definition of bumpless transfer control is developed to describe the transient behaviors of Markovian jump systems. Then, the stability analysis is given, and bumpless transfer output feedback controller is designed under partially unknown transition probabilities. Final, a numerical example is provided to demonstrate the usefulness of the presented theoretical conclusions.