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Robust and Adaptive Output Feedback Control for Square Non-Minimum Phase Systems

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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

We introduced the observer-based loop transfer recovery (OBLTR) methodology in Chap. 6 and discussed OBLTR controllers with adaptive augmentation in Chaps. 13 and 14.

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References

  1. Syrmos VL, Abdalla CT, Doratos JP, Grigoriadis K (1997) Static output feedback—a survey. Automatica 33(2):125–137. https://doi.org/10.1016/S0005-1098(96)00141-0

  2. Luenberger DG (1964) Observing the state of a linear system. IEEE Trans Mil Electron MIL-8: 74–80. https://doi.org/10.1109/TME.1964.4323124

  3. Maciejowski JM (1989) Multivariable feedback design. Addison-Wesley Publishers Ltd.https://doi.org/10.1017/S0263574700007761

  4. Doyle JC, Francis BA, Tannenbaum AR (1992) Feedback control theory. Macmillan Publishing Company, New York, 10022

    Google Scholar 

  5. Anderson BDO, Moore JB (1980) Optimal control: linear quadratic methods. Dover, Mineola

    Google Scholar 

  6. Aström KJ, Murray RM (2008) Feedback control systems: an introduction for scientists and engineers. Princeton University Press, New Jersey, 08540

    Google Scholar 

  7. Doyle JC, Stein G (1981) Multivariable feedback design: concepts for a classical/modern synthesis. IEEE Trans Automat Contr 26(1):4–16. https://doi.org/10.1109/TAC.1981.1102555

    Article  Google Scholar 

  8. Stein G, Athans M (1987) The LQG/LTR procedure for multivariable feedback control design. IEEE Trans Automat Contr 32(2):105–114. https://doi.org/10.1109/TAC.1987.1104550

    Article  Google Scholar 

  9. Kwakernaak H, Sivan R (1972) Linear optimal control systems. New York: Wiley-Interscience

    Google Scholar 

  10. Narendra KS, Annaswamy AM (2005) Stable adaptive control. Dover, New York

    Google Scholar 

  11. Ioannou P, Fidan P (2006) Adaptive control tutorial, SIAM, advances in design and control. SIAM, PA. https://doi.org/10.1137/1.9780898718652

  12. Krstic M, Kanellakopoulos I, Kokotovic P (1995) Nonlinear and adaptive control design. Wiley, New York

    Google Scholar 

  13. Khalil HK (1996) Nonlinear systems, 3rd edn. Prentice Hall, Upper Saddle River, NJ 07458

    Google Scholar 

  14. Seshagiri S, Khalil HK (2000) Output feedback control of nonlinear systems using RBF neural networks. IEEE Trans Neural Netw 11(1):69–79. https://doi.org/10.1109/72.822511

  15. Kuipers M, Ioannou P (2010) Multiple model adaptive control with mixing. IEEE Trans Automat Contr 55(8):1822–1836. https://doi.org/10.1109/TAC.2010.2042345

  16. Zang Z, Bitmead R (1994) Transient bounds for adaptive control systems. IEEE Trans Automat Contr 39(1):171–178. https://doi.org/10.1109/CDC.1990.203273

    Article  MathSciNet  Google Scholar 

  17. Lavretsky E. Reference dynamics modification in adaptive controllers for improved transient performance. AIAA Paper 2011-6200. https://doi.org/10.2514/6.2011-6200

  18. Lavretsky E (2012) Adaptive output feedback design using asymptotic properties of LQG/LTR controllers. IEEE Trans Automat Contr 57(6):1587–1591. https://doi.org/10.1109/TAC.2011.2174692

  19. Gibson TE, Annaswamy AM, Lavretsky E. Improved transient response in adaptive control using projection algorithms and closed loop reference models. AIAA Paper 2012-4775. https://doi.org/10.2514/6.2012-4775

  20. Gibson TE, Annaswamy AM, Lavretsky E (2013) Closed–loop reference model adaptive control, part I: transient performance. In: The proceedings of the American control conference. https://doi.org/10.1109/ACC.2013.6580353

  21. Gibson TE, Annaswamy AM, Lavretsky E (2013) Closed–loop reference model adaptive control: composite control and observer feedback. In: The proceedings of the 11th IFAC international workshop on adaptation and learning in control and signal processing

    Google Scholar 

  22. Lavretsky E (2015) Transients in output feedback adaptive systems with observer-like reference models. Int J Adapt Control Signal Process 29:1515–1125. https://doi.org/10.1002/acs.2557

    Article  MathSciNet  Google Scholar 

  23. Gibson TE, Qu Z, Annaswamy AM, Lavretsky E (2015) Adaptive output feedback based on closed-loop reference models. IEEE Trans Automat Contr 60(10):2728–2733. https://doi.org/10.1109/TAC.2015.2405295

  24. Misra P (1988) Numerical algorithms for squaring-up non-square systems, part II: general case. In: The proceedings of the American control conference, San Francisco, CA

    Google Scholar 

  25. Kevorkian J, Cole JD (1996) Multiple scale and singular perturbation methods. Appl Math Sci 114. https://doi.org/10.1007/978-1-4612-3968-0

  26. Balas G, Young P (2003) Sensor selection via closed-loop control objectives. IEEE Trans Automat Contr 7(6):692–704. https://doi.org/10.1109/87.799670

  27. Wal M, Jager B (2001) A review of methods for input/output selection. Automatica 37:487–510

    Article  MathSciNet  Google Scholar 

  28. Stein G (2003) Respect the unstable. IEEE Control Syst Mag 4:12–25. https://doi.org/10.1109/MCS.2003.1213600

  29. Etkin B (1982) Dynamics of flight. Stability and control, 2nd edn. Wiley. https://doi.org/10.1063/1.3060977

  30. Lavretsky E, Gibson TE (2011) Projection operator in adaptive systems. arXiv:1112.4232

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Correspondence to Eugene Lavretsky .

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Lavretsky, E., Wise, K.A. (2024). Robust and Adaptive Output Feedback Control for Square Non-Minimum Phase Systems. In: Robust and Adaptive Control. Advanced Textbooks in Control and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-031-38314-4_15

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