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SCIENCE CHINA Information Sciences, Volume 64 , Issue 7 : 172202(2021) https://doi.org/10.1007/s11432-020-2914-2

Suboptimal adaptive tracking controlfor FIR systems with binary-valued observations

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  • ReceivedMar 16, 2020
  • AcceptedApr 17, 2020
  • PublishedMay 18, 2021

Abstract


Acknowledgment

This work was partly supported by National Natural Science Foundation of China (Grant No. 61603034), Beijing Municipal Natural Science Foundation (Grant No. 3182027), and Fundamental Research Funds for the Central Universities of China (Grant No. FRF-GF-19-016B).


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  • Figure 1

    (Color online) Two-segment adaptive tracking control law.

  • Figure 2

    (Color online) Design mechanism of the two-segment adaptive control algorithm.

  • Table 1  

    Table 1Performance comparison of adaptive tracking control

    $k$ $J_{\rm~min}$ $\sigma_d^2$ $\varepsilon$
    $\eta=100~$ $0.8\times~10^4$ $1.8051$$0.2500$ $1.5551$
    $\eta=500~$ $4.0\times~10^4$ $0.6127$$0.2500$ $0.3627$
    $\eta=1000~$$8.0\times~10^4$ $0.4074$ $0.2500$ $0.1574$
    $\eta=2000~$ $1.6\times~10^5$ $0.3320$ $0.2500$ $0.0820$
    $\eta=5000~$$4.0\times~10^5$ $0.2811$ $0.2500$ $0.0311$
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