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This article proposes a Model Reference Adaptive Control (MRAC) strategy to achieve fixed-time convergence of parameter estimation and tracking errors for unknown linear time-invariant systems, without relying on the persistence of…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Chayan Kumar Paul , Krishanu Nath , Indra Narayan Kar , Denis Efimov , Rosane Ushirobira

This paper develops adaptive output tracking control schemes with the reference output signal generated from an unknown reference system whose output derivatives are also unknown. To deal with such reference system uncertainties, an…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Gang Tao

Adaptive control strategies have progressively advanced to accommodate increasingly uncertain, delayed, and interconnected systems. This paper addresses the model reference adaptive control (MRAC) of networked, heterogeneous, and unknown…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Moh Kamalul Wafi , Katherin Indriawati , Bambang L. Widjiantoro

Convergence of controller parameters in standard model reference adaptive control (MRAC) requires the system states to be persistently exciting (PE), a restrictive condition to be verified online. A recent data-driven approach, concurrent…

Systems and Control · Computer Science 2016-02-02 Sayan Basu Roy , Shubhendu Bhasin , Indra Narayan Kar

State and input constraints are ubiquitous in all engineering systems. In this article, we derive adaptive controllers for uncertain linear systems under pre-specified state and input constraints. Several modifications of the model…

Systems and Control · Electrical Eng. & Systems 2023-08-24 Sudipta Chattopadhyay , Srikant Sukumar , Vivek Natarajan

This paper develops a new model reference adaptive control (MRAC) framework using partial-state feedback for solving a multivariable adaptive output tracking problem. The developed MRAC scheme has full capability to deal with plant…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Ge Song , Gang Tao

In this paper, we present a hybrid direct-indirect model reference adaptive controller (MRAC), to address a class of problems with matched and unmatched uncertainties. In the proposed architecture, the unmatched uncertainty is estimated…

Systems and Control · Computer Science 2019-02-22 Girish Joshi , Girish Chowdhary

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

Satisfaction of state and input constraints is one of the most critical requirements in control engineering applications. In classical model reference adaptive control (MRAC) formulation, although the states and the input remain bounded,…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Poulomee Ghosh , Shubhendu Bhasin

It is typically proven in adaptive control that asymptotic stabilization and tracking holds, and that at best a bounded-noise bounded-state property is proven. Recently, it has been shown in both the pole-placement control and the $d$-step…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Mohamad T. Shahab , Daniel E. Miller

The known dynamic regressor extension and mixing method (DREM) is combined with the proposed filter of a new type, which uses the integration operation with forgetting, and the recursive least-squares method to develop the new I-DREM model…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Anton Glushchenko , Vladislav Petrov , Konstantin Lastochkin

We propose a model reference adaptive controller (MRAC) for uncertain linear time-invariant (LTI) plants with user-defined state and input constraints in the presence of unmatched bounded disturbances. Unlike popular optimization-based…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Poulomee Ghosh , Shubhendu Bhasin

This paper presents extensions of finite-time stability results to some prototypical adaptive control and estimation frameworks. First, we present a novel scheme of online parameter estimation that guarantees convergence of the estimation…

Optimization and Control · Mathematics 2020-10-20 Kunal Garg , Parag Bobade , Dimitra Panagou

We develop a method for the model reference adaptive control (MRAC) of LTI systems via Extremum Seeking (ES). Our proof of global asymptotic tracking enables design of the adaptive controller to satisfy averaging requirements, and…

Dynamical Systems · Mathematics 2012-07-25 Poorya Haghi , Kartik B. Ariyur

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

This paper presents the application of a Distributed Model Reference Adaptive Control (DMRAC) strategy for robust multi-agent synchronization of a network of drones. The proposed approach enables the development of controllers capable of…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Miguel F. Arevalo-Castiblanco , Yejin Wi , Marzia Cescon and , Cesar A. Uribe

In this paper we develop a multiple model reference adaptive controller (MMRAC) with blending. The systems under consideration are non-square, i.e., the number of inputs is not equal to the number of states; multi-input, linear,…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Alex Lovi , Baris Fidan , Christopher Nielsen

Robots and automated systems are increasingly being introduced to unknown and dynamic environments where they are required to handle disturbances, unmodeled dynamics, and parametric uncertainties. Robust and adaptive control strategies are…

Robotics · Computer Science 2018-08-03 Karime Pereida , Angela Schoellig

A common assumption when applying the Kalman filter is a priori knowledge of the system parameters. These parameters are not necessarily known, and this may limit real-world applications of the Kalman filter. The well-established Model…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Lauritz Rismark Fosso , Christian Holden , Sveinung Johan Ohrem

This paper focuses on adaptive control of the discrete-time linear quadratic regulator (adaptive LQR). Recent literature has made significant contributions in proving non-asymptotic convergence rates, but existing approaches have a few…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Peter A. Fisher , Anuradha M. Annaswamy
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