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Output regulation of switched singular systems based on extended state observer approach

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  • Sun, Yuchen
  • Ma, Shuping

Abstract

The observer-based output regulation for the linear switched singular systems is studied in this paper, both the full-order and reduced-order observer approaches are considered. Firstly, by introducing the full-order extended state observer to estimate the states of system and the external reference signals simultaneously, under some standard assumptions, feasible criteria for switched singular systems to achieve the output regulation goals are developed and the observer design methods are presented. Furthermore, based on the restricted system equivalent (r.s.e) transformation, a reduced-order observer is employed, under average dwell time (ADT) switching, feasible criteria for the transformed systems to satisfy the output regulation aims are presented and the procedure for designing the reduced-order observer is given. At last, an illustrative example is proposed to confirm the effectiveness of the developed results.

Suggested Citation

  • Sun, Yuchen & Ma, Shuping, 2021. "Output regulation of switched singular systems based on extended state observer approach," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    • Handle: RePEc:eee:apmaco:v:399:y:2021:i:c:s0096300321000680
    DOI: 10.1016/j.amc.2021.126020
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    References listed on IDEAS

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    1. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    2. Chan, Joseph Chang Lun & Tan, Chee Pin & Trinh, Hieu & Kamal, Md Abdus Samad & Chiew, Yeong Shiong, 2019. "Robust fault reconstruction for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 78-92.
    3. Huo, Xin & Ma, Li & Zhao, Xudong & Zong, Guangdeng, 2020. "Event-triggered adaptive fuzzy output feedback control of MIMO switched nonlinear systems with average dwell time," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    4. Mehran Hosseini-Pishrobat & Jafar Keighobadi & Atta Oveisi & Tamara Nestorović, 2018. "Robust Linear Output Regulation Using Extended State Observer," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-12, August.
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    1. Lun Chan, Joseph Chang & Lee, Tae H., 2022. "Observer-based fault-tolerant control for non-infinitely observable descriptor systems with unknown time-varying state and input delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).

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