4.7 Article

Finite-time H∞ bumpless transfer control for switched systems: A state-dependent switching approach

Journal

Publisher

WILEY
DOI: 10.1002/rnc.4825

Keywords

bumpless transfer; finite-time boundedness; H-infinity control; state-dependent switching law; switched systems

Funding

  1. National Natural Science Foundation of China [61773235, 61803225]
  2. Taishan Scholar Project of Shandong Province [TSQN20161033]
  3. China Postdoctoral Science Foundation [2019M652352]
  4. Project of Shandong Province Higher Educational Science and Technology Program [J18KA318]
  5. Interdisciplinary Scientific Research Projects of Qufu Normal University [xkjjc201905]

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This paper addresses the finite-time H-infinity bumpless transfer control problem for switched systems. The main idea lies in designing a state-feedback controller with amplitude limitation and a state-dependent switching law to reduce control bumps caused by switching. First, a local bumpless transfer condition is proposed to limit the amplitude of switching controllers at switching points. Second, by introducing a state-dependent switching law, a prescribed finite-time H-infinity bumpless transfer control performance is attained even if it does not hold for each subsystem or system state remaining on a switching surface. Third, a sufficient condition verifying the solvability of finite-time H-infinity bumpless transfer control problem is established by resorting to multiple Lyapunov function method. Finally, the effectiveness of developed method is illustrated by a numerical example.

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