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Volume 11 Issue 7
Jul.  2024

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2024  >  11(7): 1579-1590
S. Lu, T. Wu, L. Zhang, J. Yang, and  Y. Liang,  “Interpolated bumpless transfer control for asynchronously switched linear systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 7, pp. 1579–1590, Jul. 2024. doi: 10.1109/JAS.2023.124155
Citation: S. Lu, T. Wu, L. Zhang, J. Yang, and  Y. Liang,  “Interpolated bumpless transfer control for asynchronously switched linear systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 7, pp. 1579–1590, Jul. 2024. doi: 10.1109/JAS.2023.124155
shu

Interpolated Bumpless Transfer Control for Asynchronously Switched Linear Systems

doi: 10.1109/JAS.2023.124155
Funds:  This work was partially supported by the National Natural Science Foundation of China (62225305, 12072088), the Fundamental Research Funds for the Central Universities, China (HIT.BRET.2022004, HIT.OCEF.2022047, JCKY2022603C016), and China Scholarship Council (202306120113)
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    Abstract
  • This paper revisits the problem of bumpless transfer control (BTC) for discrete-time nondeterministic switched linear systems. The general case of asynchronous switching is considered for the first time in the field of BTC for switched systems. A new approach called interpolated bumpless transfer control (IBTC) is proposed, where the bumpless transfer controllers are formulated with the combination of the two adjacent mode-dependent controller gains, and are interpolated for finite steps once the switching is detected. In contrast with the existing approaches, IBTC does not necessarily run through the full interval of subsystems, as well as possesses the time-varying controller gains (with more flexibility and less conservatism) achieved from a control synthesis allowing for the stability and other performance of the whole switched system. Sufficient conditions ensuring stability and $ H_{\infty} $ performance of the underlying system by IBTC are developed, and numerical examples verify the theoretical findings.

     

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    Highlights

    • A new BTC scheme called interpolated bumpless transfer control (IBTC) is proposed
    • IBTC does not necessarily run through the full interval of subsystems
    • Possesses time-varying controller gains with more flexibility and less conservatism
    • The general case of asynchronous switching in BTC is considered for the first time
    • Sufficient conditions ensuring stability and H-inf performance are developed

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