Adaptive Control

Recently, I have worked with Miroslav Krstic on robust adaptive control. The topic requires special stability notions that were developed gradually in

• I. Karafyllis and Z.-P. Jiang, Stability and Stabilization of Nonlinear Systems, Springer-Verlag, London (Series: Communications and Control Engineering), 2011.

• I. Karafyllis and A. Chaillet, “Lyapunov Conditions for Uniform Asymptotic Output Stability and a Relaxation of Barbălat’s Lemma”, Automatica, 132, 2021, 109792.

• A. Chaillet, I. Karafyllis and Y. Wang, “Robust Output Stability and Input-to-Output Stability Based on Output Dissipation”, submitted to Automatica (see also arXiv:2506.10479 [math.OC]).

Here is a list of papers with novel and robust adaptive control schemes.

• I. Karafyllis and M. Krstic, “Adaptive Certainty-Equivalence Control With Regulation-Triggered Finite-Time Least-Squares Identification”, IEEE Transactions on Automatic Control, 63(10), 2018, pp. 3261-3275.

• I. Karafyllis, M. Krstic and K. Chrysafi, “Adaptive Boundary Control of Constant-Parameter Reaction-Diffusion PDEs Using Regulation-Triggered Finite-Time Identification”, Automatica, 103, 2019, pp. 166-179.

• I. Karafyllis, M. Kontorinaki and M. Krstic, “Adaptive Control By Regulation-Triggered Batch Least-Squares”, IEEE Transactions on Automatic Control, 65(7), 2020, pp. 2842-2855.

• I. Karafyllis, M. Krstic and A. Aslanidis, “On Disturbance-to-State Adaptive Stabilization without Parameter Bound by Nonlinear Feedback of Delayed State and Input”, SIAM Journal on Control and Optimization, 61(6), 2023, pp. 3584-3607.

• I. Karafyllis, A. Aslanidis and M. Krstic, “Adaptive Regulation with Global KL Guarantees”, IEEE Transactions on Automatic Control, 69(1), 2024, pp. 2-15.

• I. Karafyllis and M. Krstic, “Deadzone-Adapted Disturbance Suppression Control for Global Practical IOS and Zero Asymptotic Gain to Matched Uncertainties”, Systems & Control Letters, 185, 2024, 105746.

• M. Bagheri, I. Karafyllis, P. Naseradinmousavi and M. Krstic, “Adaptive Control of a Two-Link Robot Using Batch Least-Squares Identifier”, IEEE/CCA Journal of Automatica Sinica, 8(1), 2021, pp. 86-93.

• I. Karafyllis, M. Krstic and A. Aslanidis, “Deadzone-Adapted Disturbance Suppression Control for Strict-Feedback Systems”, Automatica, 171, 2025, 111986.

• I. Karafyllis and M. Krstic, “Partial-State DADS Control for Matched Unmodeled Dynamics”, submitted to Automatica (see also arXiv:2507.18609 [math.OC]).

A systematic robust adaptive control design methodology, the Deadzone-Adapted Disturbance Suppression (DADS) scheme, is developed in detail in the book

• I. Karafyllis and M. Krstic, Robust Adaptive Control: Deadzone-Adapted Disturbance Suppression, SIAM, 2025.