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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 paper presents tracking control laws for two different objectives of a nonholonomic system - a spherical robot - using a geometric approach. The first control law addresses orientation tracking using a modified trace potential…

Systems and Control · Computer Science 2016-12-15 Sneha Gajbhiye , Ravi N. Banavar

We use the backstepping method to study the stabilization of a 1-D linear transport equation on the interval (0, L), by controlling the scalar amplitude of a piecewise regular function of the space variable in the source term. We prove that…

Optimization and Control · Mathematics 2019-11-21 Christophe Zhang

Considering a nonlinear system in Byrnes-Isidori form that is subject to unbounded perturbations, we apply Lyapunov redesign via feedback linearisation for trajectory tracking. Leveraging the ideas of tube-based geometric characterisation…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Niclas Tietze , Kai Wulff , Johann Reger

This paper presents a scheme to design a tracking controller for a class of uncertain nonlinear systems using a robust feedback linearization approach. The scheme is composed of two steps. In the first step, a linearized uncertainty model…

Systems and Control · Computer Science 2012-03-01 Obaid Ur Rehman , Ian R. Petersen , Barıs Fidan

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

Systems and Control · Electrical Eng. & Systems 2022-02-04 Asifa Yousaf

Post-collision trajectory restoration is a safety-critical capability for autonomous vehicles, as impact-induced lateral motion and yaw transients can rapidly drive the vehicle away from the intended path. This paper proposes a structured…

Robotics · Computer Science 2026-02-10 Samsaptak Ghosh , M. Felix Orlando , Sohom Chakrabarty

This paper demonstrates the applicability of the combination of concurrent learning as a tool for parameter estimation and non-parametric Gaussian Process for online disturbance learning. A control law is developed by using both techniques…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Vedant Bhandari , Erkan Kayacan

In this paper, a new control scheme, called as additive-decomposition-based tracking control, is proposed to solve the output feedback tracking problem for a class of systems with measurable nonlinearities and unknown disturbances. By the…

Adaptation and Self-Organizing Systems · Physics 2020-03-10 Quan Quan , Kai-Yuan Cai , Hai Lin

In this paper, we investigate the problem of semi-global minimal time robust stabilization of analytic control systems with controls entering linearly, by means of a hybrid state feedback law. It is shown that, in the absence of minimal…

Optimization and Control · Mathematics 2016-08-16 Christophe Prieur , Emmanuel Trélat

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results we present four different controllers: A…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

This paper proposes a new framework and several results to quantify the performance of data-driven state-feedback controllers for linear systems against targeted perturbations of the training data. We focus on the case where subsets of the…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Rajasekhar Anguluri , Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

With the introduction of the laterally bounded forces, the tilt-rotor gains more flexibility in the controller design. Typical feedback linearization methods utilize all the inputs in controlling this vehicle; the magnitudes as well as the…

Robotics · Computer Science 2022-03-29 Zhe Shen , Yudong Ma , Takeshi Tsuchiya

We propose a robust nonlinear model predictive control (MPC) scheme for trajectory-tracking control of autonomous vehicles at the limits of handling on non-planar road surfaces. We derive the dynamics from first principles and selectively…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Joscha F. Bongard , Georg Jank , Simon Sagmeister , Boris Lohmann

Most passivity based trajectory tracking algorithms for mechanical systems can only stabilise reference trajectories that have constant energy. This paper overcomes this limitation by deriving a single variable Hamiltonian model for the…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Robert Mahony

This paper enhances the feedback linearization controller for multirotors with a learned acceleration error model and a thrust input delay mitigation model. Feedback linearization controllers are theoretically appealing but their…

Robotics · Computer Science 2021-12-15 Alexander Spitzer , Nathan Michael

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

Optimization and Control · Mathematics 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

In this article, we present data-driven feedback linearization for nonlinear systems with periodic orbits in the zero-dynamics. This scenario is challenging for data-driven control design because the higher order terms of the internal…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Karthik Shenoy , Akshit Saradagi , Ramkrishna Pasumarthy , Vijaysekhar Chellaboina

The ability to achieve precise and smooth trajectory tracking is crucial for ensuring the successful execution of various tasks involving robotic manipulators. State-of-the-art techniques require accurate mathematical models of the robot…

Robotics · Computer Science 2024-06-21 Mohamed Abdelwahab , Giulio Giacomuzzo , Alberto Dalla Libera , Ruggero Carli

This article presents a state feedback control design strategy for the stabilization of a vehicle along a reference collision avoidance maneuver. The stabilization of the vehicle is achieved through a combination of steering, acceleration…

Optimization and Control · Mathematics 2021-02-16 Penco Dario , Davins-Valldaura Joan , Godoy Emmanuel , Kvieska Pedro , Valmorbida Giorgio