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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

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

Stability theory plays a crucial role in feedback control. However, adaptive control theory requires advanced and specialized stability notions that are not frequently used in standard feedback control theory. The present document is a set…

Optimization and Control · Mathematics 2024-10-23 Iasson Karafyllis , Miroslav Krstic

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

Statistics Theory · Mathematics 2020-01-01 Xiucai Ding , Zhou Zhou

We present a predictive feedback control method for a class of quasilinear hyperbolic systems with one boundary control input. Assuming exact model knowledge, convergence to the origin, or tracking at the uncontrolled boundary, are achieved…

Optimization and Control · Mathematics 2022-03-18 Timm Strecker , Ole Morten Aamo , Michael Cantoni

Stabilizing a dynamical system is a fundamental problem that serves as a cornerstone for many complex tasks in the field of control systems. The problem becomes challenging when the system model is unknown. Among the Reinforcement Learning…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Ankang Zhang , Ming Chi , Xiaoling Wang , Lintao Ye

In this paper, a nonlinear rotational inverted pendulum with time-varying parameters is controlled using the indirect adaptive fuzzy controller design. This type of controller is chosen because this particular system performance is highly…

Signal Processing · Electrical Eng. & Systems 2018-06-06 R. Eini , S. Abdelwahed

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 proposes a novel control framework for handling (potentially coupled) multiple time-varying output constraints for uncertain nonlinear systems. First, it is shown that the satisfaction of multiple output constraints boils down to…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Farhad Mehdifar , Lars Lindemann , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

We consider the static output feedback control for Linear Quadratic Regulator problems with structured constraints under the assumption that system parameters are unknown. To solve the problem in the model free setting, we propose the…

Optimization and Control · Mathematics 2023-03-21 Shokichi Takakura , Kazuhiro Sato

This paper presents a new data-driven fault identification and controller reconfiguration algorithm. The presented algorithm relies only on the system's input and output data, and it does not require a detailed system description. The…

Systems and Control · Computer Science 2019-02-27 Hasan Zakeri , Panos J. Antsaklis

This paper presents a new formulation for model-free robust optimal regulation of continuous-time nonlinear systems. The proposed reinforcement learning based approach, referred to as incremental adaptive dynamic programming (IADP),…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Cong Li , Yongchao Wang , Fangzhou Liu , Qingchen Liu , Martin Buss

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

This study proposes a method for designing stabilizing suboptimal controllers for nonlinear stochastic systems. These systems include time-invariant stochastic parameters that represent uncertainty of dynamics, posing two key difficulties…

Optimization and Control · Mathematics 2025-01-22 Yuji Ito , Kenji Fujimoto

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

We study nonlinear systems with observation errors. The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed loop systems input to state…

Optimization and Control · Mathematics 2007-05-23 Michael Malisoff , Ludovic Rifford , Eduardo Sontag

We study in this paper the problem of iterative feedback gains tuning for a class of nonlinear systems. We consider Input-Output linearizable nonlinear systems with additive uncertainties. We first design a nominal Input-Output…

Systems and Control · Computer Science 2016-11-15 Mouhacine Benosman

The paper deals with the problem of output regulation of nonlinear systems by presenting a learning-based adaptive internal model-based design strategy. We borrow from the adaptive internal model design technique recently proposed in [1]…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Lorenzo Gentilini , Michelangelo Bin , Lorenzo Marconi

How biological networks achieve robust control despite relying on imperfect, local information remains an important open question. Here, we identify thermodynamic constraints that can curtail non-equilibrium steady-state responses so…

Statistical Mechanics · Physics 2026-05-27 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

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