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In this paper, constrained parameter update laws for adaptive control with convex equality constraint on the parameters are developed, one based on a gradient only update and the other incorporating concurrent learning (CL) update. The…

Systems and Control · Electrical Eng. & Systems 2026-02-23 Ashwin P. Dani

The update law in the indirect adaptive control scheme can be extended to include feedthrough of an error term. This reduces undesired oscillations of the calculated weights. When the ${\sigma}$-modification is used for achieving robustness…

Optimization and Control · Mathematics 2025-04-24 Tom Kaufmann , Johann Reger

This paper proposes a multiple-model adaptive control methodology, using set-valued observers (MMAC-SVO) for the identification subsystem, that is able to provide robust stability and performance guarantees for the closed-loop, when the…

Optimization and Control · Mathematics 2016-11-17 Paulo Rosa , Carlos Silvestre , Jeff S. Shamma , Michael Athans

This paper presents a continuous-time output feedback adaptive control technique for stabilization and tracking control problems. The adaptive controller is motivated by the classical discrete-time retrospective cost adaptive control…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Mohammad Mirtaba , Ankit Goel

We propose a novel feedback controller for a class of uncertain higher-order nonlinear systems, subject to delays in both state measurement and control input signals. Building on the prescribed performance control framework, a…

Optimization and Control · Mathematics 2025-09-11 Thomas Berger , Lampros N. Bikas , Jan Hachmeister , George A. Rovithakis

This paper presents an adaptive, model-based, nonlinear controller for the bicopter trajectory-tracking problem. The nonlinear controller is constructed by dynamically extending the bicopter model, stabilizing the extended dynamics using…

Dynamical Systems · Mathematics 2024-02-08 Jhon Manuel Portella Delgado , Ankit Goel

In controlling systems with large operating envelopes, it is often necessary to adjust the desired dynamics according to operating conditions. This paper presents a robust adaptive control architecture for linear parameter-varying (LPV)…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Pan Zhao , Steven Snyder , Naira Hovakimyana , Chengyu Cao

The inherent approximation ability of neural networks plays an essential role in adaptive neural control, where the prerequisite for existence of the compact set is crucial in the control designs. Instead of using practical system state, in…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mingxuan Sun , Shengxiang Zou

Recently, a framework for controller design of sampled-data nonlinear systems via their approximate discrete-time models has been proposed in the literature. In this paper we develop novel tools that can be used within this framework and…

Optimization and Control · Mathematics 2007-05-23 Dragan Nesic , Antonio Loria

An adaptive controller with bounded l2-gain from disturbances to errors is derived for linear time-invariant systems with uncertain parameters restricted to a finite set. The gain bound refers to the closed loop system, including the…

Optimization and Control · Mathematics 2024-04-09 Anders Rantzer

Underactuated legged robots depict highly nonlinear and complex dynamical behaviors that create significant challenges in accurately modeling system dynamics using both first principles and system identification approaches. Hence, it makes…

Robotics · Computer Science 2022-12-21 Güner Dilşad Er , Mustafa Mert Ankaralı

In this paper we address the problem of tracking control of nonlinear systems via contraction analysis. The necessary conditions of the systems which can achieve universal asymptotic tracking are studied under several different cases. We…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Bowen Yi , Ruigang Wang , Ian R. Manchester

We consider the data-driven stabilization of discrete-time linear time-varying systems. The controller is defined as a linear state-feedback law whose gain is adapted to the plant changes through a data-based event-triggering rule. To do…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Andrea Iannelli , Romain Postoyan

Many robotic systems are underactuated, meaning not all degrees of freedom can be directly controlled due to lack of actuators, input constraints, or state-dependent actuation. This property, compounded by modeling uncertainties and…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Daniel M. Cherenson , Dimitra Panagou

We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback gain. This adaptive controller is applied to the stabilization of an unstable fixed point and an unstable periodic orbit embedded in a…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Judith Lehnert , Philipp Hövel , Valentin Flunkert , Peter Yu. Guzenko , Alexander L. Fradkov , Eckehard Schöll

High performance tracking control can only be achieved if a good model of the dynamics is available. However, such a model is often difficult to obtain from first order physics only. In this paper, we develop a data-driven control law that…

Systems and Control · Computer Science 2018-11-20 Thomas Beckers , Jonas Umlauft , Dana Kulić , Sandra Hirche

This paper investigates gradient-based adaptive prediction and control for nonlinear stochastic dynamical systems under a weak convexity condition on the prediction-based loss. This condition accommodates a broad range of nonlinear models…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Yujing Liu , Xin Zheng , Zhixin Liu , Lei Guo

Robust output tracking is addressed in this paper for a heat equation with Neumann boundary conditions and anti-collocated boundary input and output. The desired reference tracking is solved using the well-known flatness and Lyapunov…

Optimization and Control · Mathematics 2022-04-27 Diego Gutiérrez-Oribio , Yury Orlov , Ioannis Stefanou , Franck Plestan

This paper concerns the problem of adaptive output regulation for multivariable nonlinear systems in normal form. We present a regulator employing an adaptive internal model of the exogenous signals based on the theory of nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Michelangelo Bin , Pauline Bernard , Lorenzo Marconi

We develop an indirect-adaptive model predictive control algorithm for uncertain linear systems subject to constraints. The system is modeled as a polytopic linear parameter varying system where the convex combination vector is constant but…

Systems and Control · Computer Science 2015-09-25 Stefano Di Cairano