Key result
An asynchronous bumpless transfer finite-time H∞ controller was successfully constructed and applied to an RLC circuit model to limit control bumps caused by asynchronous jumping.
The proposed asynchronous bumpless transfer finite-time H∞ controller effectively limits control bumps caused by asynchronous jumping in Markovian jump systems.
May limit control discontinuities in jump systems; leaves open validation beyond RLC simulations.
This brief focuses on the asynchronous bumpless transfer finite-time <tex-math notation="LaTeX">H∞ </tex-math> 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 <tex-math notation="LaTeX">H∞ </tex-math> 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 <tex-math notation="LaTeX">H∞ </tex-math> controller is constructed, and sufficient conditions are given to ensure the finite-time <tex-math notation="LaTeX">H∞ </tex-math> 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.
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Yang et al. (2022) studied Markovian jump systems (MJSs). Asynchronous bumpless transfer finite-time H∞ controller was evaluated on Finite-time H∞ performance. An asynchronous bumpless transfer finite-time H∞ controller was successfully constructed and applied to an RLC circuit model to limit control bumps caused by asynchronous jumping.
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