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Linear-quadratic optimal control problem for systems governed by forward-backward stochastic differential equations has been extensively studied over the past three decades. Recent research has revealed that for forward-backward control…

Optimization and Control · Mathematics 2025-04-22 Qi Lü , Bowen Ma , Hanxiao Wang

Stabilizing legged robot locomotion on a dynamic rigid surface (DRS) (i.e., rigid surface that moves in the inertial frame) is a complex planning and control problem. The complexity arises due to the hybrid nonlinear walking dynamics…

Robotics · Computer Science 2021-09-14 Amir Iqbal , Yan Gu

In this paper, we study a stochastic linear-quadratic control problem with random coefficients and regime switching on a horizon $[0,T\wedge\tau]$, where $\tau$ is a given random jump time for the underlying state process and $T$ is a…

Optimization and Control · Mathematics 2022-01-19 Ying Hu , Xiaomin Shi , Zuo Quan Xu

We are concerned with efficient numerical methods for stochastic continuous-time algebraic Riccati equations (SCARE). Such equations frequently arise from the state-dependent Riccati equation approach which is perhaps the only systematic…

Optimization and Control · Mathematics 2024-01-23 Tsung-Ming Huang , Yueh-Cheng Kuo , Ren-Cang Li , Wen-Wei Lin

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 addresses the problem of satellite inspection, where one or more satellites (inspectors) are tasked with imaging or inspecting a resident space object (RSO) due to potential malfunctions or anomalies. Inspection strategies are…

Robotics · Computer Science 2025-02-28 Joshua Aurand , Christopher Pang , Sina Mokhtar , Henry Lei , Steven Cutlip , Sean Phillips

We address a state-of-the-art reinforcement learning (RL) control approach to automatically configure robotic prosthesis impedance parameters to enable end-to-end, continuous locomotion intended for transfemoral amputee subjects.…

Robotics · Computer Science 2023-03-31 Ruofan Wu , Zhikai Yao , Jennie Si , He , Huang

Existing approaches to robust global asymptotic stabilization of a pair of antipodal points on unit $n$-sphere $\mathbb{S}^n$ typically involve the non-centrally synergistic hybrid controllers for attitude tracking on unit quaternion space.…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Xin Tong , Shing Shin Cheng

The ability of aerial robots to operate in the presence of failures is crucial in various applications that demand continuous operations, such as surveillance, monitoring, and inspection. In this paper, we propose a fault-tolerant control…

Robotics · Computer Science 2023-09-27 Jennifer Yeom , Guanrui Li , Giuseppe Loianno

This paper presents a method for guiding a robot manipulator to capture and bring a tumbling satellite to a state of rest. The proposed approach includes developing a coordination control for the combined system of the space robot and the…

Robotics · Computer Science 2023-03-21 Farhad Aghili

This paper addresses the spacecraft relative orbit reconfiguration problem of minimizing the delta-v cost of impulsive control actions while achieving a desired state in fixed time. The problem is posed in relative orbit element (ROE)…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Michelle Chernick , Simone D'Amico

Distribution system state estimation (DSSE) is paramount for effective state monitoring and control. However, stochastic outputs of renewables and asynchronous streaming of multi-rate measurements in practical systems largely degrade the…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Ying Zhang , Junbo Zhao , Di Shi , Sungjoo Chung

In this paper, a dynamic-programming approach to the coupled translational and rotational control of thruster-driven spacecraft is studied. To reduce the complexity of the problem, dynamic-programming-based optimal policies are calculated…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Abdolreza Taheri , Nima Assadian

We develop a data-driven methodology based on parametric It\^{o}'s Stochastic Differential Equations (SDEs) to capture the real asymmetric dynamics of forecast errors. Our SDE framework features time-derivative tracking of the forecast,…

Methodology · Statistics 2021-02-11 Renzo Caballero , Ahmed Kebaier , Marco Scavino , Raúl Tempone

The local stability and convergence for Model Predictive Control (MPC) of unconstrained nonlinear dynamics based on a linear time-invariant plant model is studied. Based on the long-time behavior of the solution of the Riccati Differential…

Optimization and Control · Mathematics 2022-06-07 Daniel Veldman , Enrique Zuazua

The main objective for this research was the analytical exploration of the dynamics of planar satellite rotation during the motion of an elliptical orbit around a planet. First, we revisit the results of J. Wisdom et al. (1984), in which,…

General Physics · Physics 2017-09-08 Sergey V. Ershkov

The attitude control of a spacecraft is integral to achieving mission success. However, failures in actuators such as reaction wheels are detrimental and can often lead to an early end of mission. We propose a Lyapunov-based adaptive…

Optimization and Control · Mathematics 2025-04-17 Camilo Riano-Rios , George Nehma , Madhur Tiwari

This work presents a closed-loop guidance algorithm for six-degrees of freedom spacecraft rendezvous with a passive target flying in an eccentric orbit. The main assumption is that the chaser vehicle has an attitude control system, based on…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Julio C. Sanchez , Francisco Gavilan , Rafael Vazquez , Christophe Louembet

We address the problem of attitude stabilization of a rigid body, in which neither the angular velocity nor the instantaneous measurements of the attitude are used in the feedback, only body vector measurements are needed. The design of the…

Optimization and Control · Mathematics 2015-01-21 L. Benziane , A. Benallegue , Y. Chitour , A. Tayebi

This paper focuses on the attitude motion of spacecraft systems featuring asymmetric spacecraft platforms and unbalanced rotors. Through perturbation expansion, the spacecraft dynamic equation is simplified as a linear periodically…

Dynamical Systems · Mathematics 2025-08-07 Jingyuan Wu , Wenhao Li , Guanhua Feng
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