4.7 Article

Fault-Tolerant Control of Switched LPV Systems: A Bump less Transfer Approach

Journal

IEEE-ASME TRANSACTIONS ON MECHATRONICS
Volume 27, Issue 3, Pages 1436-1446

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TMECH.2021.3096375

Keywords

Bumpless transfer; linear parameter-varying (LPV) system; multiple Lyapunov function; switched system; switching control

Funding

  1. National Natural Science Foundation of China [61803225, 61773235, 61973259, 61903261]
  2. Taishan Scholar Project of Shandong Province [TSQN20161033]
  3. General Research Fund of HKSAR [17201820]
  4. China Postdoctoral Science Foundation [2019M652352]
  5. Postdoctoral Innovation Project of Shandong Province [201903046]

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This paper investigates the construction of parameter-dependent multiple piecewise Lyapunov function for switched linear parameter-varying (LPV) systems with possible actuator failures, to handle the H-infinity bumpless transfer fault-tolerant control problem. By introducing the generalized bumpless transfer concept, designing an event-triggered switching law, and developing a solvability condition for fault-tolerant control problem, a family of time-driven switching controllers satisfying the bumpless transfer constraint and fault-tolerant requirement is formulated.
For switched linear parameter-varying (LPV) systems with possible actuator failures, the parameter-dependent multiple piecewise Lyapunov function is constructed to handle the H-infinity bumpless transfer fault-tolerant control problem. First, a generalized bumpless transfer concept is presented for switched LPV systems to describe the transient performance, for which only the local bumpless transfer condition is required. Second, an event-triggered switching law, depending on the system states, external parameters, and dwell time, is designed to ensure a time span among adjacent switchings. Third, a solvability condition of the H-infinity bumpless transfer fault-tolerant control problem is developed. A family of time-driven switching controllers with bumpless transfer constraint and fault-tolerant requirement are also designed. Finally, an application example of an aero-engine is given to verify the effectiveness of the developed methods.

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