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This paper presents sufficient conditions for small-time local controllability of a control-affine system that describes the rotational motion of a satellite in a circular orbit. The satellite is modeled as a rigid body subject to…

Optimization and Control · Mathematics 2024-08-02 Yevgeniia Yevgenieva , Alexander Zuyev , Julia Kalosha

This paper introduces a novel control strategy for agile spacecraft attitude control, addressing reaction wheel-related input and state constraints. An optimal-decay control Lyapunov function quadratic program stabilizes the system and…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Milad Alipour Shahraki , Laurent Lessard

This paper considers the backstepping design of state feedback controllers for coupled linear parabolic partial integro-differential equations (PIDEs) of Volterra-type with distinct diffusion coefficients, spatially-varying parameters and…

Optimization and Control · Mathematics 2017-12-25 Joachim Deutscher , Simon Kerschbaum

Despite extensive research on sliding mode control (SMC) design for quadrotors, the existing approaches suffer from certain limitations. Euler angle-based SMC formulations suffer from poor performance in high-pitch or -roll maneuvers.…

Robotics · Computer Science 2025-12-04 Amin Yazdanshenas , Reza Faieghi

In this paper, we design a controller for an interconnected system consisting of a linear Stochastic Differential Equation (SDE) actuated through a linear hyperbolic Partial Differential Equation (PDE). Our approach aims to minimize the…

Optimization and Control · Mathematics 2024-05-15 Gabriel Velho , Jean Auriol , Riccardo Bonalli , Islam Boussaada

Conventional Sliding mode control and observation techniques are widely used in aerospace applications, including aircrafts, UAVs, launch vehicles, missile interceptors, and hypersonic missiles. This work is dedicated to creating a…

Systems and Control · Electrical Eng. & Systems 2021-06-09 S. Kode , Y. Shtessel , A. Levant , J. Rakoczy , M. Hannan , J. Orr

The rigid-body attitude tracking using vector and biased gyro measurements with unknown inertia matrix is studied in this note. First, a gyro-bias observer with global exponential stability is designed. Then, an attitude tracking controller…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Eduardo Espíndola , Yu Tang

The modified Rodrigues parameters (MRP) consist of two numerically different triplets that, by switching between them, yield a minimal globally non-singular attitude description with advantageous properties. The MRP space results from the…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Luís Martins , Carlos Cardeira , Paulo Oliveira

In this paper, the attitude tracking problem is considered using the rotation matrices. Due to the inherent topological restriction, it is impossible to achieve global attractivity with any continuous attitude control system on $SO(3)$.…

Optimization and Control · Mathematics 2017-11-15 Jieqiang Wei , Christos Verginis , Junfeng Wu , Dimos V. Dimarogonas , Henrik Sandberg , Karl H. Johansson

Spectral Deferred Correction (SDC) is an iterative method for the numerical solution of ordinary differential equations. It works by refining the numerical solution for an initial value problem by approximately solving differential…

Numerical Analysis · Mathematics 2025-09-09 Thomas Saupe , Sebastian Götschel , Thibaut Lunet , Daniel Ruprecht , Robert Speck

This paper presents a time-constrained model predictive control strategy for the 6 degree-of-freedom (6DOF) autonomous rendezvous and docking problem between a controllable "deputy" spacecraft and an uncontrollable "chief" spacecraft. The…

Optimization and Control · Mathematics 2022-11-22 Gabriel Behrendt , Alexander Soderlund , Matthew Hale , Sean Phillips

The rigid body attitude estimation problem is treated using the discrete-time Lagrange-d'Alembert principle. Three different possibilities are considered for the multi-rate relation between angular velocity measurements and direction vector…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Maulik Bhatt , Amit K. Sanyal , Srikant Sukumar

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

This paper presents a novel satellite attitude control framework that integrates Soft Actor-Critic (SAC) reinforcement learning with Generative Adversarial Imitation Learning (GAIL) to achieve robust performance under various unknown…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Zhizhuo Zhang , Hao Peng , Xiaoli Bai

This paper considers the problem of achieving attitude consensus in spacecraft formations with bounded, time-varying communication delays between spacecraft connected as specified by a strongly connected topology. A state feedback con-…

Systems and Control · Computer Science 2017-07-06 Siddharth H. Nair , Kamesh Subbarao

In this paper, the parallel multi-extended state observers (ESOs) based active disturbance rejection control approach is proposed to achieve desired tracking performance by automatically selecting the estimation values leading to the least…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Guojie Tang , Wenchao Xue , Hao Peng , Yanlong Zhao , Zhijun Yang

This paper proposes a sampling-based motion planner that employs a dual quaternion representation to generate smooth, collision-free six-degree-of-freedom pose trajectories for satellite rendezvous and docking under keep-out zone…

Robotics · Computer Science 2025-12-22 Ana Stankovic , Mohamed Khalil Ben-Larbi , Wolfgang H. Müller

This paper presents a computationally efficient robust model predictive control law for discrete linear time invariant systems subject to additive disturbances that may depend on the state and/or input norms. Despite the dependency being…

Optimization and Control · Mathematics 2019-08-12 Danylo Malyuta , Behcet Acikmese , Martin Cacan

We propose the Hardware-in-the-Loop (HIL) test of an adaptive satellite attitude control system with reaction wheel health estimation capabilities. Previous simulations and Software-in-the-Loop testing have prompted further experiments to…

Robotics · Computer Science 2025-08-27 Morokot Sakal , George Nehma , Camilo Riano-Rios , Madhur Tiwari

In this work, we develop a numerically tractable trajectory optimization problem for rest-to-rest attitude transfers with CMG-driven spacecraft. First, we adapt a specialized dynamical model which avoids many of the numerical challenges…

Optimization and Control · Mathematics 2022-11-07 Thomas L. Dearing , John Hauser , Christopher Petersen , Marco M. Nicotra , Xudong Chen