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In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

Optimization and Control · Mathematics 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

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

In this paper we are interested in the problem of adaptive state observation of linear time-varying (LTV) systems where the system and the input matrices depend on unknown time-varying parameters. It is assumed that these parameters satisfy…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Anton Pyrkin , Alexey Bobtsov , Romeo Ortega , Alberto Isidori

We consider the problem of adaptive observer design in the settings when the system is allowed to be nonlinear in the parameters, and furthermore they are to satisfy additional feasibility constraints. A solution to the problem is proposed…

Optimization and Control · Mathematics 2014-12-18 I. Yu. Tyukin , P. A. Rogachev , H. Nijmeijer

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

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

We study the controller implementability problem, which seeks to determine if a controller can make the closed-loop behavior of a given plant match that of a desired reference behavior. We establish necessary and sufficient conditions for…

Optimization and Control · Mathematics 2023-10-25 Alberto Padoan , Jeremy Coulson , Florian Dörfler

We introduce general results on well-posedness and output regulation of regular linear systems with nonautonomous controllers. We present a generalization of the internal model principle for time-dependent controllers with asymptotically…

Optimization and Control · Mathematics 2022-04-12 Lassi Paunonen , Sepideh Afshar

In this note we address the problem of indirect adaptive (regulation or tracking) control of nonlinear, input affine dissipative systems. It is assumed that the supply rate, the storage and the internal dissipation functions may be…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Romeo Ortega , Rafael Cisneros , Lei Wang , Arjan van der Schaft

A control system is called self-powered if the only energy it requires for operation is that which it absorbs from the plant. For a linear feedback law to be feasible for a self-powered control system, its feedback signal must be colocated…

Optimization and Control · Mathematics 2022-12-13 Connor H. Ligeikis , Jeffrey T. Scruggs

An integral extension of state-feedback controllers for linear time-varying plants is proposed, which preserves performance of the nominal controller in the unperturbed case. Similar to time-invariant state feedback with integral action,…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Richard Seeber , Markus Tranninger

We present a novel approach to control design for nonlinear systems which leverages model-free policy optimization techniques to learn a linearizing controller for a physical plant with unknown dynamics. Feedback linearization is a…

In this paper, a model reference adaptive control architecture is proposed for uncertain nonlinear systems to achieve prescribed performance guarantees. Specifically, a general nonlinear reference model system is considered that captures an…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Ehsan Arabi , Kunal Garg , Dimitra Panagou

This paper considers the problem of adaptively overriding unsafe actions of a nominal controller in the presence of high-relative-degree nonovershooting constraints and parametric uncertainties. To prevent the design from being coupled with…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Ziliang Lyu , Miroslav Krstic , Kaixin Lu , Yiguang Hong , Lihua Xie

In this article, a novel adaptive controller is designed for Euler-Lagrangian systems under predefined time-varying state constraints. The proposed controller could achieve this objective without a priori knowledge of system parameters and,…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Viswa Narayanan Sankaranarayanan , Sumeet Gajanan Satpute , Spandan Roy , George Nikolakopoulos

Robust adaptive control of scalar plants in the presence of unmodeled dynamics is established in this paper. It is shown that implementation of a projection algorithm with standard adaptive control of a scalar plant ensures global…

Systems and Control · Computer Science 2013-02-04 Heather S. Hussain , Megumi M. Matsutani , Anuradha M. Annaswamy , Eugene Lavretsky

Many active noise and vibration control systems require models of the control paths. When the controlled system changes slightly over time, adaptive digital filters for the identification of the models are useful. This paper aims at the…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Dirk Mayer

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

For general nonlinear control systems we present a novel approach to adaptive control, which employs a certainty equivalence (indirect) control law and an identifier with event-triggered updates of the plant parameter estimates, where the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

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