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Related papers: Singular Zone in Quadrotor Yaw-Position Feedback L…

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This paper considers a class of bilinear systems with a neural network in the loop. These arise naturally when employing machine learning techniques to approximate general, non-affine in the input, control systems. We propose a controller…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Dhruv Shah , Jorge Cortés

A methodology is developed to learn a feedback linearization (i.e., nonlinear change of coordinates and input transformation) using a data-driven approach for a single input control-affine nonlinear system with unknown dynamics. We employ…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Raktim Gautam Goswami , Prashanth Krishnamurthy , Farshad Khorrami

The control of a quadrotor is typically split into two subsequent problems: finding desired accelerations to control its position, and controlling its attitude and the total thrust to track these accelerations and to track a yaw angle…

Robotics · Computer Science 2019-06-18 Dave Kooijman , Angela P. Schoellig , Duarte J. Antunes

With the increase in complexity of robotic systems and the rise in non-expert users, it can be assumed that task constraints are not explicitly known. In tasks where avoiding singularity is critical to its success, this paper provides an…

Robotics · Computer Science 2019-03-27 Jeevan Manavalan , Matthew Howard

Among the tilt-rotors (quadrotors) developed in the last decades, Rylls model with eight inputs (four magnitudes of the thrusts and four tilting angles) attracted great attention. Typical feedback linearization maneuvers all the eight…

Robotics · Computer Science 2022-03-24 Zhe Shen , Takeshi Tsuchiya

Data-driven control has gained significant attention in recent years, particularly regarding feedback linearization of nonlinear systems. However, existing approaches face limitations when it comes to implementing them on hardware. The main…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Karthik Shenoy , Akshit Saradagi , Ramkrishna Pasumarthy , Vijaysekhar Chellaboina

The textbook Newton's iteration is practically inapplicable on solutions of nonlinear systems with singular Jacobians. By a simple modification, a novel extension of Newton's iteration regains its local quadratic convergence toward…

Numerical Analysis · Mathematics 2024-04-22 Zhonggang Zeng

Singularities arise in diverse disciplines and play a key role in both exploring fundamental laws of physics and making highly-sensitive sensors. Higher-order (>3) singularities, with further improved performance, however, usually require…

An optimal control problem with an infinite horizon quadratic cost functional for a linear system with a known additive disturbance is considered. The feature of this problem is that a weight matrix of the control cost in the cost…

Optimization and Control · Mathematics 2016-03-08 Valery Y. Glizer , Oleg Kelis

Nonlinear underactuated systems such as two-wheeled inverted pendulums (TWIPs) exhibit a limited region of attraction (RoA), which defines the set of initial conditions from which the closed-loop system converges to the equilibrium. The RoA…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Lorenzo Fici , Dalim Wahby , Alvaro Detailleur , Matthieu Barreau , Guillaume Ducard

This letter proposes a method to integrate auxiliary actuators that enhance the task space capabilities of commercial underactuated systems, leaving the internal certified low level controller untouched. The additional actuators are…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Mirko Mizzoni , Amr Afifi , Antonio Franchi

A new systematic approach to the construction of approximate solutions to a class of nonlinear singularly perturbed feedback control systems using the boundary layer functions especially with regard to the possible occurrence of the…

Optimization and Control · Mathematics 2017-09-07 Robert Vrabel

We propose a general strategy for feedback control design of complex dynamical systems exploiting the nonlinear mechanisms in a systematic unsupervised manner. These dynamical systems can have a state space of arbitrary dimension with…

Chaotic Dynamics · Physics 2013-11-22 Thomas Duriez , Vladimir Parezanovic , Bernd R. Noack , Laurent Cordier , Marc Segond , Markus Abel

This work proposes a quaternion-based sliding variable that describes exponentially convergent error dynamics for any forward complete desired attitude trajectory. The proposed sliding variable directly operates on the non-Euclidean space…

Robotics · Computer Science 2020-11-10 Brett T. Lopez , Jean-Jacques E. Slotine

This paper discusses the systematic design of an adaptive feedback linearizing neurocontroller for a high-order model of the synchronous machine/infinite bus power system. The power system is first modelled as an input-output nonlinear…

Optimization and Control · Mathematics 2007-05-23 Kingsley Fregene , Diane Kennedy

This paper proposes a framework for adaptively learning a feedback linearization-based tracking controller for an unknown system using discrete-time model-free policy-gradient parameter update rules. The primary advantage of the scheme over…

Machine Learning · Computer Science 2020-04-07 Tyler Westenbroek , Eric Mazumdar , David Fridovich-Keil , Valmik Prabhu , Claire J. Tomlin , S. Shankar Sastry

The paper addresses the exact linearization of flat nonlinear discrete-time systems by generalized static or dynamic feedbacks which may also depend on forward-shifts of the new input. We first investigate the question which forward-shifts…

Optimization and Control · Mathematics 2022-12-29 Bernd Kolar , Johannes Diwold , Conrad Gstöttner , Markus Schöberl

Various studies on perception-aware planning have been proposed to enhance the state estimation accuracy of quadrotors in visually degraded environments. However, many existing methods heavily rely on prior environmental knowledge and face…

Robotics · Computer Science 2025-07-31 Chenxin Yu , Zihong Lu , Jie Mei , Boyu Zhou

This paper presents a velocity-free position control strategy for quadrotor unmanned aerial vehicles based on nonlinear negative imaginary (NNI) systems theory. Unlike conventional position control schemes that require velocity measurements…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Ahmed G. Ghallab , Ian R. Petersen

This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints. Using Q-parameterization and a polytope containment method, we prove that…

Optimization and Control · Mathematics 2021-09-23 Antoine Aspeel , Kwesi Rutledge , Raphaël M. Jungers , Benoit Macq , Necmiye Özay