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Frequency Domain Analysis

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Robust and Adaptive Control

Part of the book series: Advanced Textbooks in Control and Signal Processing ((C&SP))

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Abstract

This chapter presents frequency domain analysis methods for both single-input single-output and multi-input multi-output control systems. Transfer function matrices, Nyquist theory for multivariable system, and singular value frequency response methods are discussed in detail. Modeling techniques for robust stability analysis are covered in which both complex and real parametric uncertainties are covered. Theory and examples for the structured singular value μ and the real stability margin are presented. Flight control systems designed using classical and optimal control theories are analyzed to determine their robust stability.

An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-1-4471-4396-3_15

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References

  1. Doyle, J.C.: Robustness of multiloop linear feedback systems. In Proceedings of the IEEE Conference on Decision and Control, pp. 12–18. (1978)

    Google Scholar 

  2. Wise, K.A.: A comparison of six robustness tests evaluating missile autopilot robustness to uncertain aerodynamics. J. Guid. Control Dynamics 15(4), 861–870 (1992)

    Article  Google Scholar 

  3. DeGaston, R.R., Safonov, M.: Exact calculation of the multiloop stability margin. IEEE Trans. Autom. Control 33(2), 156–171 (1988)

    Article  Google Scholar 

  4. Morton, B.G., McAfoos, R.M.: A Mu-test for robustness analysis of a real-parameter variation problem. In Proceedings of the American Control Conference, American Automatic Control Council, Boston, MA. (1985)

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  5. Morton, B.G.: New applications of Mu to real parameter variation problems. In Proceedings of the 25th IEEE Conference on Decision and Control. (1985)

    Google Scholar 

  6. Doyle, J.C., Wall, J.E., Stein, G.: Performance and robustness analysis for structured uncertainty. In Proceedings of the 22nd IEEE Conference on Decision and Control, Orlando, Florida, pp. 629–636. (1982)

    Google Scholar 

  7. Kuo, B.C.: Automatic Control Systems, 6th edn. Prentice Hall, New York (1971)

    Google Scholar 

  8. Zadeh, L.A., Desoer, C.A.: Linear System Theory. McGraw-Hill, New York (1963)

    MATH  Google Scholar 

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© 2013 Springer-Verlag London

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Lavretsky, E., Wise, K.A. (2013). Frequency Domain Analysis. In: Robust and Adaptive Control. Advanced Textbooks in Control and Signal Processing. Springer, London. https://doi.org/10.1007/978-1-4471-4396-3_5

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  • DOI: https://doi.org/10.1007/978-1-4471-4396-3_5

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4395-6

  • Online ISBN: 978-1-4471-4396-3

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