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Truncated Predictor Feedback for General Linear Systems

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Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay

Part of the book series: Control Engineering ((CONTRENGIN))

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Abstract

Low gain feedback designs, such as the eigenstructure assignment based design and the Lyapunov equation based design, are essential elements of TPF designs. TPF laws whose feedback gain matrices are parameterized in a feedback parameter compensate an arbitrarily large delay in linear systems that are not exponentially unstable . Given any amount of delay, stabilization is achieved as long as the feedback parameter is sufficiently small. As manifested in Chaps. 2 and 3, such a low gain nature of the TPF laws, of both state feedback and output feedback types, is the core of their stabilizing ability.

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References

  1. M. S. Mahmoud, Robust Control and Filtering for Time-delay Systems, CRC Press, 2000.

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  2. Y. Wei and Z. Lin, “Stabilization of exponentially unstable discrete-time linear systems by truncated predictor feedback,” Systems & Control Letters, Vol. 97, pp. 27–35, 2016.

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  4. B. Zhou, G. Duan and Z. Lin, “A parametric Lyapunov equation approach to the design of low gain feedback,” IEEE Transactions on Automatic Control, Vol. 53, No. 6, pp. 1548–1554, 2008.

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Wei, Y., Lin, Z. (2021). Truncated Predictor Feedback for General Linear Systems. In: Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay. Control Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-53429-5_4

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  • DOI: https://doi.org/10.1007/978-3-030-53429-5_4

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  • Publisher Name: Birkhäuser, Cham

  • Print ISBN: 978-3-030-53428-8

  • Online ISBN: 978-3-030-53429-5

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