Abstract
Robust adaptive control pertains to satisfactory behavior of adaptive control systems in the presence of nonparametric perturbations such as disturbances, unmodeled dynamics, and time delays. This article covers the highlights of robust adaptive controllers, methods used, and results obtained. Both methods of achieving robustness, which includes modifications in the adaptive law and persistent excitation in the reference input, are presented. In both cases, results obtained for robustness to disturbances and unmodeled dynamics are discussed.
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Bibliography
Anderson BDO, Bitmead RR, Johnson CR Jr, Kokotovic PV, Kosut RL, Mareels IM, Praly L, Riedle BD (1986) Stability of adaptive systems: passivity and averaging analysis. MIT, Cambridge
Arnold VI (1982) Geometric methods in the theory of differential equations. Springer, New York
Egardt B (1979) Stability of adaptive controllers. Springer, New York
Hale JK (1969) Ordinary differential equations. Wiley–Interscience, New York
Hussain H, Matsutani M, Annaswamy A, Lavretsky E (2013) Adaptive control of scalar plants in the presence of unmodeled dynamics. In: 11th IFAC international workshop, ALCOSP, Caen, France, Jul 2013
Ioannou P, Sun J (2013) Robust adaptive control. Dover, Mineola
Khalil H (2001) Nonlinear systems, ch. 14.5. Prentice Hall, Upper Saddle River
Kokotovic P, Riedle B, Praly L (1985) On a stability criterion for continuous slow adaptation. Syst Control Lett 6:7–14
Kreisselmeier G, Narendra KS (1982) Stable model reference adaptive control in the presence of bounded disturbances. IEEE Trans Autom Control 27:1169–1175
Krylov AN, Bogoliuboff NN (1943) Introduction to nonlinear mechanics. Princeton University Press, Princeton
Lavretsky E (2010) Adaptive output feedback design using asymptotic properties of LQG/LTR controllers. IEEE Trans Autom Control 57:1587–1591
Matsutani M (2013) Robust adaptive flight control systems in the presence of time delay. Ph.D. dissertation, Massachusetts Institute of Technology
Matsutani M, Annaswamy A, Gibson T, Lavretsky E (2011) Adaptive systems with guaranteed delay margins. In: 50th IEEE conference on decision and control and European control conference, Orlando, FL
Matsutani M, Annaswamy A, Lavretsky E (2012) Guaranteed delay margins for adaptive control of scalar plants. In: 2012 IEEE 51st annual conference on decision and control (CDC), Maui, Hawaii, pp 7297–7302
Matsutani M, Annaswamy A, Lavretsky E (2013) Guaranteed delay margins for adaptive systems with state variables accessible. In: American control conference, Washington, DC
Narendra KS, Annaswamy AM (2005) A new adaptive law for robust adaptation without persistent excitation. IEEE Trans Autom Control, 32:134–145
Narendra KS, Annaswamy AM (2005) Stable adaptive systems. Dover, Mineola
Narendra KS, Kudva P (1972) Stable adaptive schemes for system identification and control – parts I & II. IEEE Trans Syst Man Cybern 4:542–560
Peterson B, Narendra K (1982) Bounded error adaptive control. IEEE Trans Autom Control 27(6):1161–1169
Pomet J, Praly L (1992) Adaptive nonlinear regulation: estimation from the Lyapunov equation. IEEE Trans Autom Control 37(6):729–740
Rohrs C, Valavani L, Athans M, Stein G (1985) Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics. IEEE Trans Autom Control 30(9):881–889
Tsakalis K, Ioannou P (1987) Adaptive control of linear time-varying plants. Automatica 23(4):459–468
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© 2014 Springer-Verlag London
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Annaswamy, A.M. (2014). Robust Adaptive Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_118-1
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_118-1
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Robust Adaptive Control- Published:
- 08 November 2019
DOI: https://doi.org/10.1007/978-1-4471-5102-9_118-2
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Robust Adaptive Control- Published:
- 06 November 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_118-1