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This paper presents an adaptive control approach for uncertain nonlinear systems subject to safety constraints that allows for modularity in the selection of the parameter estimation algorithm. Such modularity is achieved by unifying the…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Max Cohen , Calin Belta

Discovering governing equations from data is crucial for understanding complex systems in many diverse fields from science to engineering. Yet, there still is a lack of versatile computational toolbox to deal with this long standing…

Chaotic Dynamics · Physics 2026-05-15 Chengzuo Zhuge , Zheng Jiang , Zhefan Xu , Wei Chen

Model Predictive Control (MPC) is a powerful technique to control nonlinear, multi-input multi-output systems subject to input and state constraints. It is now a standard tool for trajectory tracking control of automated vehicles. As such…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Georg Schildbach , Jasper Pflughaupt

This paper presents the development of a sliding mode controller using the backstepping approach. The controller is employed to synthesize tracking errors and Lyapunov functions. A novel state-space representation is formulated by…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Thien Nhan Vo

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

This paper presents a framework grounded in the theory of describing function (DF) and incremental-input DF to theoretically analyze the nonlinear oscillatory response of automated vehicles (AVs) car-following (CF) amidst traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sixu Li , Yang Zhou

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Amit K. Sanyal

Artificial time delay controller was conceptualised for nonlinear systems to reduce dependency on precise system modelling unlike the conventional adaptive and robust control strategies. In this approach unknown dynamics is compensated by…

Robotics · Computer Science 2024-09-04 Swati Dantu

In contemporary control theory, self-adaptive methodologies are highly esteemed for their inherent flexibility and robustness in managing modeling uncertainties. Particularly, robust adaptive control stands out owing to its potent…

Robotics · Computer Science 2024-07-19 Ye Zhang , Kangtong Mo , Fangzhou Shen , Xuanzhen Xu , Xingyu Zhang , Jiayue Yu , Chang Yu

We propose a fully data-driven, Koopman-based framework for statistically robust control of discrete-time nonlinear systems with linear embeddings. Establishing a connection between the Koopman operator and contraction theory, it offers…

Robotics · Computer Science 2026-03-24 Koki Hirano , Hiroyasu Tsukamoto

In this article, we propose a nonlinear voltage control to ensure power exchange in a multiport interconnected system, which consists of a bidirectional DC-DC converter and generating-storing devices. The converter topology under…

Systems and Control · Electrical Eng. & Systems 2024-04-01 Felipe Morales , Rafael Cisneros , Romeo Ortega , Antonio Sanchez-Squella

This paper presents a backstepping approach for the boundary control of first-order hyperbolic equations with spatially varying coefficients posed on domains of arbitrary dimension. The method is based on a change of variables induced by…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Mohamed Camil Belhadjoudja

This paper addresses the problem of designing an optimal output feedback controller with a specified controller structure for linear time-invariant (LTI) systems to maximize the passivity level for the closed-loop system, in both…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Lanlan Su , Vijay Gupta , Panos Antsaklis

Finding a control Lyapunov function (CLF) in a dynamical system with a controller is an effective way to guarantee stability, which is a crucial issue in safety-concerned applications. Recently, deep learning models representing CLFs have…

Machine Learning · Computer Science 2025-11-04 Yupu Lu , Shijie Lin , Hao Xu , Zeqing Zhang , Jia Pan

The modeling of nonlinear dynamics based on Koopman operator theory, which is originally applicable only to autonomous systems with no control, is extended to non-autonomous control system without approximation to input matrix B. Prevailing…

Systems and Control · Electrical Eng. & Systems 2024-08-23 H. Harry Asada , Jose A. Solano-Castellanos

A fast convergence in a fixed-time of solutions of nonlinear dynamical systems, for which special requirements are satisfied on the derivative of a quadratic function calculated along the solutions of the system, is proposed. The conditions…

Systems and Control · Electrical Eng. & Systems 2025-12-24 Igor B. Furtat

This paper proposes a novel real-time affordable solution to the trajectory tracking control problem for self-driving cars subject to longitudinal and steering angular velocity constraints. To this end, we develop a dual-mode Model…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Cristian Tiriolo , Walter Lucia

This work presents a geometric backstepping controller for a variable-tilt omnidirectional multirotor that explicitly accounts for both servo and rotor dynamics. Considering actuator dynamics is essential for more effective and reliable…

Robotics · Computer Science 2026-02-23 Jaewoo Lee , Dongjae Lee , Jinwoo Lee , Hyungyu Lee , Yeonjoon Kim , H. Jin Kim

The highly nonlinear dynamics of vehicles present a major challenge for the practical implementation of optimal and Model Predictive Control (MPC) approaches in path planning and following. Koopman operator theory offers a global linear…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Mohammad Abtahi , Mahdis Rabbani , Armin Abdolmohammadi , Shima Nazari

Electrification in the automotive industry and increasing powertrain complexity demand accelerated, cost-effective development cycles. While data-driven models are recently investigated at component level, a gap exists in systematically…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Eymen Ipek , Mario Hirz