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Stabilization of Time-Delay Systems using a Constant Gain Feedback Controller

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Book cover PID Controllers for Time-Delay Systems

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

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Abstract

In this chapter we present a solution to the problem of stabilizing a first-or second-order plant with time delay using a proportional (P) controller. This solution is built upon the results presented in Chapter 5 for quasi-polynomials and computes the complete set of stabilizing gains. Examples are included to illustrate the application of these results.

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6.4 Notes and References

  1. Desoer, C. A., and Wu, M. Y. “Stability of Linear Time-Invariant Systems,” IEEE Transactions on Circuit Theory, Vol. 15, pp. 245–250, 1968.

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  2. Silva, G. J., Datta, A., and Bhattacharyya, S. P. “Stabilization of Time Delay Systems,” Proceedings of the American Control Conference, pp. 963–970, June 2000.

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  3. Silva, G. J., Datta, A., and Bhattacharyya, S. P. “Determination of Stabilizing Feedback Gains for Second-Order Systems with Time Delay,” Proceedings of the American Control Conference, pp. 4658–4663, June 2001.

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© 2005 Birkhäuser Boston

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(2005). Stabilization of Time-Delay Systems using a Constant Gain Feedback Controller. In: PID Controllers for Time-Delay Systems. Control Engineering. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4423-7_6

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  • DOI: https://doi.org/10.1007/0-8176-4423-7_6

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4266-2

  • Online ISBN: 978-0-8176-4423-9

  • eBook Packages: EngineeringEngineering (R0)

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