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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

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

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

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 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

The goal of model reference adaptive control (MRAC) is to ensure that the trajectories of an unknown dynamical system track those of a given reference model. This is done by means of a feedback controller that adaptively changes its gains…

Optimization and Control · Mathematics 2026-03-16 Jiwei Wang , Simone Baldi , Henk J. van Waarde

This paper introduces an innovative singularity-free output feedback model reference adaptive control (MRAC) method applicable to a wide range of continuous-time linear time-invariant (LTI) systems with general relative degrees. Unlike…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Zhipeng Zhang , Yanjun Zhang , Jian Sun

Firstly, a new state feedback model reference adaptive control approach is developed for uncertain systems with gain scheduled reference models in a multi-input multi-output (MIMO) setting. Specifically, adaptive state feedback for output…

Optimization and Control · Mathematics 2014-03-18 Mehrdad Pakmehr , Tansel Yucelen

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

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

A novel least-squares model-reference direct adaptive control (LS-MRAC) algorithm for multivariable (MIMO) plants is presented. The controller parameters are directly updated based on the output tracking error. The control law is crucially…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Liu Hsu , Ramon R. Costa , Fernando Lizarralde , Alessandro Jacoud Peixoto

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

This thesis presents fuzzy-L1 adaptive controller and Model Reference Adaptive Control (MRAC) with Prescribed Performance Function (PPF) as two adaptive approaches for high nonlinear systems as two original contribution to the literature.…

Optimization and Control · Mathematics 2018-07-16 Hashim Abdellah Hashim Mohamed

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

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 proposes a robust model reference adaptive controller (MRAC) for uncertain multi-input multi-output (MIMO) linear time-invariant (LTI) plants with user-defined constraints on the plant states, input amplitude, and input rate. The…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Poulomee Ghosh , Shubhendu Bhasin

This work proposes an adaptive output feedback model predictive control (MPC) framework for uncertain systems subject to external disturbances. In the absence of exact knowledge about the plant parameters and complete state measurements,…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Anchita Dey , Shubhendu Bhasin

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

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

This paper presents a model reference adaptive control (MRAC) framework for uncertain linear time-invariant (LTI) systems subject to user-defined, time-varying state and input constraints. The proposed design seamlessly integrates a…

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