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A novel method of exponentially stable adaptive control to compensate for matched parametric uncertainty under a mild condition of semi-persistent excitation (s-PE) of a regressor with piecewise-constant rank and nullspace is proposed. It…

Systems and Control · Electrical Eng. & Systems 2022-10-24 Anton Glushchenko , Konstantin Lastochkin

The parameter convergence relies on a stringent persistent excitation (PE) condition in adaptive control. Several works have proposed a memory term in the last decade to translate the PE condition to a feasible finite excitation (FE)…

Systems and Control · Electrical Eng. & Systems 2025-06-26 Manish Patel , Arnab Maity

This paper proposes a new method to provide the exponential convergence of both the parameter and tracking errors of the composite adaptive control system without the persistent excitation (PE) requirement. Instead, the derived composite…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Anton Glushchenko , Vladislav Petrov , Konstantin Lastochkin

Composite adaptive control (CAC) that integrates direct and indirect adaptive control techniques can achieve smaller tracking errors and faster parameter convergence compared with direct and indirect adaptive control techniques. However,…

Systems and Control · Computer Science 2022-07-08 Yongping Pan , Lin Pan , Haoyong Yu

In this research we consider linear time-invariant plants and assume that the regressor finite excitation requirement is met. In such case, a new law to adjust the controller parameters, which ensures the exponential stability of the…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Anton Glushchenko , Kostantin Lastochkin , Vladislav Petrov

Recently, adaptive control systems with relaxed persistent excitation (PE) conditions have been proposed to guarantee true parameter convergence and improve the transient response. However, in some cases, sufficient control performance and…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Satoshi Tsuruhara , Kazuhisa Ito

In this paper we consider trajectory tracking problem for robotic systems affected by unknown external perturbations. Considering possible solutions, we restrict our attention to composite adaptation, which, particularly, ensures parametric…

Systems and Control · Electrical Eng. & Systems 2024-07-01 Anton Glushchenko , Konstantin Lastochkin

This paper focuses on relaxing the excitation conditions for the adaptive control of uncertain nonlinear systems. By adopting the spectral decomposition technique, a linear regression equation (LRE) is constructed to quantitatively collect…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Jiajun Shen , Wei Wang , Changyun Wen , Jinhu Lu

This paper proposes a composite learning backstepping control (CLBC) strategy based on modular backstepping and high-order tuners to achieve closed-loop exponential stability without high-gain feedback and PE. A novel composite learning…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Tian Shi , Shihua Li , Changyun Wen , Yongping Pan

It is nontrivial to achieve global zero-error regulation for uncertain nonlinear systems. The underlying problem becomes even more challenging if mismatched uncertainties and unknown time-varying control gain are involved, yet certain…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Hefu Ye , Yongduan Song

This paper proposes a composite adaptive control architecture using dual adaptation scheme for dynamical systems comprising time-varying uncertain parameters. While majority of the adaptive control schemes in literature address the case of…

Systems and Control · Electrical Eng. & Systems 2022-06-06 Raghavv Goel , Sayan Basu Roy

This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Samuel G. Gessow , Brett T. Lopez

A new framework is developed for control of constrained nonlinear systems with structured parametric uncertainties. Forward invariance of a safe set is achieved through online parameter adaptation and data-driven model estimation. The new…

Systems and Control · Electrical Eng. & Systems 2020-06-01 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

The convergence properties of adaptive systems in terms of excitation conditions on the regressor vector are well known. With persistent excitation of the regressor vector in model reference adaptive control the state error and the…

Optimization and Control · Mathematics 2015-11-11 Benjamin M. Jenkins , Anuradha M. Annaswamy , Eugene Lavretsky , Travis E. Gibson

Composite adaptive control schemes, which use both the system tracking errors and the prediction error to drive the update laws, have become widespread in achieving an improvement of system performance. However, a strong…

Systems and Control · Computer Science 2018-04-19 Yuling Li , Yixin Yin , Sen Zhang , Jie Dong , Rolf Johansson

It is nontrivial to achieve exponential stability even for time-invariant nonlinear systems with matched uncertainties and persistent excitation (PE) condition. In this paper, without the need for PE condition, we address the problem of…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Hefu Ye , Haijia Wu , Kai Zhao , Yongduan Song

Adaptive control can be applied to robotic systems with parameter uncertainties, but improving its performance is usually difficult, especially under discontinuous friction. Inspired by the human motor learning control mechanism, an…

Robotics · Computer Science 2024-01-22 Yongping Pan , Kai Guo , Tairen Sun , Mohamed Darouach

Classical discrete-time adaptive controllers provide asymptotic stabilization and tracking; neither exponential stabilization nor a bounded noise gain is typically proven. In recent work it has been shown, in both the pole placement…

Optimization and Control · Mathematics 2019-02-26 Daniel E Miller , Mohamad T. Shahab

Classical discrete-time adaptive controllers provide asymptotic stabilization. While the original adaptive controllers did not handle noise or unmodelled dynamics well, redesigned versions were proven to have some tolerance; however,…

Optimization and Control · Mathematics 2017-11-28 Daniel E. Miller

This work deals with the problem of simultaneous regulation and model parameter estimation in adaptive model predictive control. We propose an adaptive model predictive control and conditions which guarantee a persistently exciting closed…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Sven Brüggemann , Robert R. Bitmead
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