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We present a new direct adaptive control approach for nonlinear systems with unmatched and matched uncertainties. The method relies on adjusting the adaptation gains of individual unmatched parameters whose adaptation transients would…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Brett T. Lopez , Jean-Jacques Slotine

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

This paper presents a novel adaptive multivariable smooth second-order sliding mode approach with the features of fast finite-time convergence, adaptation to disturbances and smooth. This approach can be directly applied to the controller…

Systems and Control · Electrical Eng. & Systems 2020-10-13 Xidong Wang

In this paper, adaptive set-point regulation controllers for discrete-time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the…

Optimization and Control · Mathematics 2015-05-25 Shigeru Hanba

This article presents an adaptive nonlinear delayed feedback control scheme for stabilizing the unstable periodic orbit of unknown fractional-order chaotic systems. The proposed control framework uses the Lyapunov approach and sliding mode…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Bahram Yaghooti , Kaveh Safavigerdini , Reza Hajiloo , Hassan Salarieh

This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Samuel G. Gessow , Brett T. Lopez

This paper proposes a robust control method based on sliding mode design for two-level quantum systems with bounded uncertainties. An eigenstate of the two-level quantum system is identified as a sliding mode. The objective is to design a…

Quantum Physics · Physics 2012-04-26 Daoyi Dong , Ian R. Petersen

This paper deals with the problems of stochastic stability and sliding mode control for a class of continuous-time Markovian jump systems with mode-dependent time-varying delays and partly unknown transition probabilities. The design method…

Systems and Control · Computer Science 2018-04-26 Nasibeh Zohrabi , Hasan Zakeri , Amir Hossein Abolmasoumi , Hamid Reza Momeni

In this paper, we consider controlling a class of single-input-single-output (SISO) commensurate fractional-order nonlinear systems with parametric uncertainty and external disturbance. Based on backstepping approach, an adaptive controller…

Systems and Control · Electrical Eng. & Systems 2020-05-15 Xinyao Li , Changyun Wen , Ying Zou

This paper proposes an adaptive control allocation approach for uncertain over-actuated systems with actuator saturation. The proposed method does not require uncertainty estimation or a persistent excitation assumption. Using the…

Systems and Control · Electrical Eng. & Systems 2020-08-21 Seyed Shahabaldin Tohidi , Yildiray Yildiz , Ilya Kolmanovsky

In this paper, we propose a Lyapunov-based reinforcement learning method for distributed control of nonlinear systems comprising interacting subsystems with guaranteed closed-loop stability. Specifically, we conduct a detailed stability…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Jingshi Yao , Minghao Han , Xunyuan Yin

This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

Optimization and Control · Mathematics 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu

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

A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

Systems and Control · Computer Science 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

This paper designs a servo control system based on sliding mode control for the shape control of elastic objects. In order to solve the effect of non-smooth and asymmetric control saturation, a Gaussian-based continuous differentiable…

Robotics · Computer Science 2023-12-27 Fangqing Chen

We present a new method for learning control law that stabilizes an unknown nonlinear dynamical system at an equilibrium point. We formulate a system identification task in a self-supervised learning setting that jointly learns a controller…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Priyabrata Saha , Magnus Egerstedt , Saibal Mukhopadhyay

Recent development of contraction theory based analysis of singularly perturbed system has opened the door for inspecting differential behavior of multi time-scale systems. In this paper a contraction theory based framework is proposed for…

Systems and Control · Computer Science 2015-12-04 Madan Mohan Rayguru , I N Kar

This paper presents a novel Lyapunov-based Adaptive Transformer (LyAT) controller for stochastic nonlinear systems. While transformers have shown promise in various control applications due to sequential modeling through self-attention…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Saiedeh Akbari , Xuehui Shen , Wenqian Xue , Jordan C. Insinger , Warren E. Dixon

This paper deals with the tracking control problem for a class of unknown pure feedback system with pure state constraints on the state variables and unknown time-varying bounded disturbances. An adaptive controller is presented for such…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Pankaj Kumar Mishra , Nishchal K Verma

In this article, we present a new scheme that approximates unknown sensorimotor models of robots by using feedback signals only. The formulation of the uncalibrated sensor-based regulation problem is first formulated, then, we develop a…

Robotics · Computer Science 2020-07-07 David Navarro-Alarcon , Jiaming Qi , Jihong Zhu , Andrea Cherubini