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Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Tochukwu Elijah Ogri , Zachary I. Bell , Rushikesh Kamalapurkar

The feedback linearization method is further developed for the controller design on general nonlinear systems. Through the Lyapunov stability theory, the intractable nonlinear implicit algebraic control equations are effectively solved, and…

Systems and Control · Computer Science 2018-01-01 Sheng Zhang , Fei Liao , Yanqing Chen , Kaifeng He

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

This paper presents a nonlinear model predictive control strategy for stochastic systems with general (state and input dependent) disturbances subject to chance constraints. Our approach uses an online computed stochastic tube to ensure…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Henning Schlüter , Frank Allgöwer

Adaptive control is subject to stability and performance issues when a learned model is used to enhance its performance. This paper thus presents a deep learning-based adaptive control framework for nonlinear systems with…

Machine Learning · Computer Science 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques Slotine

In this paper, adaptive neural control (ANC) is investigated for a class of strict-feedback nonlinear stochastic systems with unknown parameters, unknown nonlinear functions and stochastic disturbances. The new controller of adaptive neural…

Systems and Control · Computer Science 2017-02-08 Chao-Yang Chena , Wei-Hua Gui , Zhi-Hong Guan , Ru-Liang Wang , Shao-Wu Zhou

This paper develops an adaptive tracking controller for a class of nonlinear systems with parametric uncertainty subject to state constraints. The system is characterized by a strict-feedback structure with unknown parameters entering both…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

This paper proposes a reliable learning-based adaptive control framework for nonlinear multi-agent systems (MASs) subject to Denial-of-Service (DoS) attacks and singular control gains, two critical challenges in cyber-physical systems. A…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Ladan Khoshnevisan , Xinzhi Liu

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

A continuous adaptive control design is developed for nonlinear dynamical systems with linearly parameterizable uncertainty involving time-varying uncertain parameters. The key feature of this design is a robust integral of the sign of the…

Systems and Control · Electrical Eng. & Systems 2020-07-24 Omkar Sudhir Patil , Runhan Sun , Shubhendu Bhasin , Warren E. Dixon

This paper presents an adaptive tracking control method for a class of nonlinearly parameterized MIMO dynamic systems with time-varying delay and unknown nonlinear dead-zone inputs. A new high dimensional integral Lyapunov-Krasovskii…

Systems and Control · Computer Science 2015-06-26 Zhijun Li , Ziting Chen , Jun Fu , Changyin Sun

In this paper, a novel online, output-feedback, critic-only, model-based reinforcement learning framework is developed for safety-critical control systems operating in complex environments. The developed framework ensures system stability…

Systems and Control · Electrical Eng. & Systems 2024-06-28 Tochukwu Elijah Ogri , Muzaffar Qureshi , Zachary I. Bell , Rushikesh Kamalapurkar

We study the problem of adaptively controlling a known discrete-time nonlinear system subject to unmodeled disturbances. We prove the first finite-time regret bounds for adaptive nonlinear control with matched uncertainty in the stochastic…

Machine Learning · Computer Science 2020-11-30 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine

This paper introduces an adaptive-neuro geometric control for a centralized multi-quadrotor cooperative transportation system, which enhances both adaptivity and disturbance rejection. Our strategy is to coactively tune the model parameters…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Tianhua Gao , Kohji Tomita , Akiya Kamimura

This paper investigates event-triggered consensus tracking in nonlinear semi-strict-feedback multi-agent systems involving one leader and multiple followers. We first employ radial basis function neural networks and backstepping techniques…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Ziming Wang , Yun Gao , Apostolos I. Rikos , Ning Pang , Yiding Ji

Lyapunov stability theory is the bedrock of direct adaptive control. Fundamentally, Lyapunov stability requires constructing a distance-like function which must decrease with time to ensure stability. Feedback linearization, backstepping,…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Brett T. Lopez , Jean-Jacques E. Slotine

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

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

In this study, we propose a novel adaptive control architecture, which provides dramatically better transient response performance compared to conventional adaptive control methods. What makes this architecture unique is the synergistic…

Systems and Control · Electrical Eng. & Systems 2023-01-09 Emirhan Inanc , Yigit Gurses , Abdullah Habboush , Yildiray Yildiz , Anuradha M. Annaswamy

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