On modified parameter estimators for identification and adaptive control. A unified framework and some new schemes

Adetola, 2008, Finite-time parameter estimation in adaptive control of nonlinear systems, IEEE Transactions on Automatic Control, 53, 807, 10.1109/TAC.2008.919568

Anderson, B., Bitmead, R., Johnson, C., Kokotovic, P., Kosut, R., Mareels, I., Praly, L., Riedle, B. Stability of adaptive systems: Passivity and averaging analysis (1986).

Annaswamy, 1998, Adaptive control of continuous time systems with convex/concave parametrization, Automatica, 34, 33, 10.1016/S0005-1098(97)00159-3

Aranovskiy, 2019, Parameter identification of linear time-invariant systems using dynamic regressor extension and mixing, International Journal of Adaptive Control and Signal Processing, 33, 1016, 10.1002/acs.3006

Aranovskiy, 2017, Performance enhancement of parameter estimator via dynamic regressor extension and mixing, IEEE Transactions on Automatic Control, 62, 3546, 10.1109/TAC.2016.2614889

Aranovskiy, 2015, Flux and position observer of permanent magnet synchronous motors with relaxed persistency of excitation conditions, IFAC-PapersOnLine, 48, 301, 10.1016/j.ifacol.2015.09.202

Astolfi, 2008

Astrom, 1973, On self–tuning regulators, Automatica, 9, 185, 10.1016/0005-1098(73)90073-3

Barabanov, 2017, On global asymptotic stability of x˙=ϕ(t)ϕ⊤(t)x with ϕ(t) bounded and not persistently exciting, Systems and Control Letters, 109, pp.24, 10.1016/j.sysconle.2017.09.005

Barabanov, 2017, On global asymptotic stability of spr adaptive systems without persistent excitation, 947

Berghuis, 1993, A robust adaptive robot controller, IEEE Transactions on Robotics and Automation, 9, 825, 10.1109/70.265925

Chen, 2010, Adaptive robust dynamic surface control with composite adaptation laws, International Journal on Adaptive Control Signal Processing, 24, 1036, 10.1002/acs.1179

Cho, 2018, Composite MRAC with parameter convergence under finite excitation, IEEE Transactions on Automatic Control, 63, 811, 10.1109/TAC.2017.2737324

Chowdhary, 2013, Concurrent learning adaptive control of linear systems with exponentially convergent bounds, International Journal of Adaptive Control and Signal Processing, 27, 280, 10.1002/acs.2297

Ciliz, 2007, Adaptive backstepping control using combined direct and indirect adaptation, Circuits Systtem Signal Processing, 26, 911, 10.1007/s00034-007-9007-6

Duarte, 1989, Combined direct and indirect approach to adaptive control, IEEE Transactions on Automatic Control, 34, 1071, 10.1109/9.35278

Gaudio, J., Annaswamy, A.M., Lavretsky, E., Bolender, M. Parameter estimation in adaptive control of time-varying systems under a range of excitation conditions, arXiv:1911.03810 (2020).

Gerasimov, 2019, Performance improvement of discrete MRAC by dynamic and memory regressor extension, 2950

Gerasimov, 2018, Performance improvement of MRAC by dynamic regressor extension, 3032

Gerasimov, 2018, Adaptive control of multivariable systems with reduced knowledge of high frequency gain: Application of dynamic regressor extension and mixing estimators, IFAC-PapersOnLine, 51, 886, 10.1016/j.ifacol.2018.09.108

Gerasimov, 2018, Relaxing the high-frequency gain sign assumption in direct model reference adaptive control, European Journal of Control, 43, 12, 10.1016/j.ejcon.2018.06.002

Gerasimov, 2020, Improved adaptive compensation of unmatched multisinusoidal disturbances in uncertain nonlinear plants, 626

Gerasimov, 2020, Improved adaptive servotracking for a class of nonlinear plants with unmatched uncertainties, IFAC-PapersOnLine, 10.1016/j.ifacol.2020.12.2074

Goel, 2020, Recursive least squares with variable-direction forgetting, IEEE Control Systems Magazine, 10.1109/MCS.2020.2990516

Hovakimyan, 2011, L1–Adaptive control for safety-critical systems, Control Systems Magazine, 31, 54, 10.1109/MCS.2011.941961

Ioannou, 2014, L1Adaptive control: Stability and robustness properties and misperceptions, IEEE Transactions on Automatic Control, 59, 3075, 10.1109/TAC.2014.2318871

Ioannou, 1984, Instability analysis and improvement of robustness of adaptive control, Automatica, 20, 583, 10.1016/0005-1098(84)90009-8

Ioannou, 1996

Jenkins, 2015, Matrix regressor adaptive observer for battery management systems, 1179

Jenkins, 2018, Convergence properties of adaptive systems and the definition of exponential stability, SIAM Journal of Control Optimization, 56, 2463, 10.1137/15M1047805

Kamalapurkar, 2017, Model-based reinforcement learning for infinite-horizon approximate optimal tracking, IEEE Transactions on Neural Networks and Learning Systems, 28, 753, 10.1109/TNNLS.2015.2511658

Kamalapurkar, 2017, Concurrent learning for parameter estimation using dynamic state-derivative estimators, Transactions on Automatic Control, 62, 3594, 10.1109/TAC.2017.2671343

Khargonekar, 1989, Comments on the robust stability analysis of adaptive controllers using normalizations, IEEE Transactions on Automatic Control, 34, 478, 10.1109/9.28033

Korotina, 2020, On parameter tuning and convergence properties of the DREM procedure

Krause, 1987, Parameter information content of measurable signals in direct adaptive control, Transactions on Automatic Control, 32, 802, 10.1109/TAC.1987.1104722

Kreisselmeier, 1977, Adaptive observers with exponential rate of convergence,, IEEE Transactions on Automatic Control, 22, 2, 10.1109/TAC.1977.1101401

Kreisselmeier, 1982, Rate of convergence in model reference adaptive control, IEEE Transactions on Automatic Control, 27, 710, 10.1109/TAC.1982.1102964

Kreisselmeier, 1990, Richness and excitation on an interval—with application to continuous-time adaptive control, IEEE Transactions on Automatic Control, 35, 165, 10.1109/9.45172

Krstic, 1995

Lavretsky, 2009, Combined/composite model reference adaptive control, IEEE Transactions on Automatic Control, 54, 2692, 10.1109/TAC.2009.2031580

Lion, 1967, Rapid identification of linear and nonlinear systems, AIAA Journal, 5, 1835, 10.2514/3.4313

Liu, 2010, Immersion and invariance adaptive control of nonlinearly parameterized nonlinear systems, IEEE Transactions on Automatic Control, 55, 2209, 10.1109/TAC.2010.2052389

Liu, 2011, On adaptive control of nonlinearly parameterized nonlinear systems: Towards a constructive procedure, Systems and Control Letters, 10, 36, 10.1016/j.sysconle.2010.10.004

Malisoff, M., Mazenc, F. Constructions of strict Lyapunov functions(2009).

Monopoli, 1974, Model reference adaptive control with an augmented error, IEEE Transactions on Automatic Control, 19, 474, 10.1109/TAC.1974.1100670

Narendra, 1987, Persistent excitation in adaptive systems, International Journal of Control, 45, 127, 10.1080/00207178708933715

Narendra, 1989

Ortega, 1988, An on-line least-squares parameter estimator with finite convergence time, Proceedings of the IEEE, 76, 847, 10.1109/5.7153

Ortega, 2019, New results on parameter estimation via dynamic regressor extension and mixing: Continuous and discrete-time cases, IEEE Transactions on Automatic Control

Ortega, 1989, Comments on “parameter information content of measurable signals in direct adaptive control”, IEEE Transactions on Automatic Control, 34, 382, 10.1109/9.16441

Ortega, 2016, Adaptation is unnecessary in L1-adaptive control, IEEE Control Systems Magazine, 36, 47, 10.1109/MCS.2015.2495023

Ortega, 2018, On dynamic regressor extension and mixing parameter estimators: Two luenberger observers interpretations, Automatica, 95, 548, 10.1016/j.automatica.2018.06.011

Ortega, 1985, Robustness of discrete-time direct adaptive controllers, IEEE Transactions on Automatic Control, 30, 1179, 10.1109/TAC.1985.1103890

Padoan, 2017, A geometric characterization of the persistence of excitation condition for the solutions of autonomous systems, IEEE Transactions on Automatic Control, 62, 5666, 10.1109/TAC.2017.2687760

Pan, 2016, Composite learning from adaptive dynamic surface control, IEEE Transactions on Automatic Control, 61, 2603, 10.1109/TAC.2015.2495232

Pan, 2018, Composite learning robot control with guaranteed parameter convergence, Automatica, 89, 398, 10.1016/j.automatica.2017.11.032

Panteley, 2002, Overcoming the detectability obstacle in certainty equivalence adaptive control, Automatica, 38, 1125, 10.1016/S0005-1098(01)00305-3

Parks, 1966, Liapunov redesign of model reference adaptive control systems, Transactions on Automatic Control, 11, 362, 10.1109/TAC.1966.1098361

Patre, 2010, Composite adaptive control for euler-lagrange systems with additive disturbances, Automatica, 46, 140, 10.1016/j.automatica.2009.10.017

Praly, 2017, Convergence of the gradient algorithm for linear regression models in the continuous and discrete time cases

Praly, 1991, Adaptive stabilization of nonlinear systems

Pyrkin, 2019, Adaptive state observer design using dynamic regressor extension and mixing, ITMO Int. Report

Rohrs, 1985, Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics, IEEE Transactions on Automatic Control, 30, 881, 10.1109/TAC.1985.1104070

Roy, 2017, A UGES switched MRAC architecture using initial excitation, IFAC-PapersOnLine, 50, 7044

Roy, 2018, Combined MRAC for unknown MIMO LTI systems with parameter convergence, IEEE Transactions on Automatic Control, 63, 283, 10.1109/TAC.2017.2725955

Sastry, 1989

Slotine, 1989, Composite adaptive control of robot manipulators, Automatica, 25, 509, 10.1016/0005-1098(89)90094-0

Song, 2017, Adaptive control with exponential regulation in the absence of persistent excitation, IEEE Transactions on Automatic Control, 62, 2589, 10.1109/TAC.2016.2599645

Wang, 2017, Immersion and invariance stabilization of nonlinear systems via virtual and horizontal contraction, IEEE Transactions on Automatic Control, 62, 4017, 10.1109/TAC.2016.2614888