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We develop a tracking model predictive control (MPC) scheme for nonlinear systems using the linearized dynamics at the current state as a prediction model. Under reasonable assumptions on the linearized dynamics, we prove that the proposed…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

All practical systems often pose a problem of finite control capability, which can notably degrade the performance if not properly addressed. Since actuator input bounds are typically known, integrating actuator saturation considerations…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

The steering control of an autonomous unicycle is considered. The underlying dynamical model of a single rolling wheel is discussed regarding the steady state motions and their stability. The unicycle model is introduced as the simplest…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Máté Benjámin Vizi , Gábor Orosz , Dénes Takács , Gábor Stépán

This article addresses the moving target enclosing control problem for nonholonomic multi-agent systems with guaranteed network connectivity and collision avoidance. We propose a novel control scheme to handle distance constraints imposed…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Boyin Zheng , Yahui Hao , Lu Liu

Stabilizing multi-steered articulated vehicles in backward motion is a complex task for any human driver. Unless the vehicle is accurately steered, its structurally unstable joint-angle kinematics during reverse maneuvers can cause the…

Optimization and Control · Mathematics 2020-05-08 Oskar Ljungqvist , Daniel Axehill

This paper proposes a control solution to achieve collision-free platooning control of input-constrained mobile robots. The platooning policy is based on a leader-follower approach where the leader tracks a reference trajectory while…

Robotics · Computer Science 2024-03-15 Suryaprakash Rajkumar , Cristian Tiriolo , Walter Lucia

We derive an optimal control formulation for a nonholonomic mechanical system using the nonholonomic constraint itself as the control. We focus on Suslov's problem, which is defined as the motion of a rigid body with a vanishing projection…

Optimization and Control · Mathematics 2018-11-13 Vakhtang Putkaradze , Stuart Rogers

This paper proposes an algorithm capable of driving a system to follow a piecewise linear trajectory without prior knowledge of the system dynamics. Motivated by a critical failure scenario in which a system can experience an abrupt change…

Robotics · Computer Science 2025-10-06 Taha Shafa , Yiming Meng , Melkior Ornik

We consider the problem of bridging the gap between geometric tracking control theory and implementation of model predictive control (MPC) for robotic systems operating on manifolds. We propose a generic on-manifold MPC formulation based on…

Robotics · Computer Science 2021-06-30 Guozheng Lu , Wei Xu , Fu Zhang

A mathematical model featuring the motion of a multilink wheeled vehicle is developed using a nonholonomic model. A detailed analysis of the inertial motion is made. Fixed points of the reduced system are identified, their stability is…

Dynamical Systems · Mathematics 2024-11-22 Elizaveta Artemova , Ivan Bizyaev

This article presents a three-dimensional nonlinear trajectory tracking control strategy for unmanned aerial vehicles (UAVs) in the presence of spatial constraints. As opposed to many existing control strategies, which do not consider…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

This letter presents two bearing-constrained formation tracking control protocols for multiple nonholonomic agents based respectively on the bearing vectors and displacements between the agents. The desired formation pattern of the system…

Optimization and Control · Mathematics 2022-02-15 Quoc Van Tran , Jinwhan Kim

This article presents a multi-robot trajectory planning method which not only guarantees optimization feasibility and but also resolves deadlocks in obstacle-dense environments. The method is proposed via formulating a recursive…

Robotics · Computer Science 2023-02-23 Yuda Chen , Chenghan Wang , Meng Guo , Zhongkui Li

A prioritized inverse kinematics (PIK) solution can be considered as a (regulation or output tracking) control law of a dynamical system with prioritized multiple outputs. We propose a method that guarantees that a joint trajectory…

Systems and Control · Electrical Eng. & Systems 2019-10-24 Sang-ik An , Dongheui Lee

This paper presents a -- Learning from Demonstration -- method to perform robot movement trajectories that can be defined as you go. This way unstructured tasks can be performed, without the need to know exactly all the tasks and start and…

Robotics · Computer Science 2020-10-16 Luis Trucios , Mahdi Tavakoli , Kim Adams

This paper presents a framework for real-time optimal controlling of a heavy-duty skid-steered mobile platform for trajectory tracking. The importance of accurate real-time performance of the controller lies in safety considerations of…

Robotics · Computer Science 2025-10-06 Alvaro Paz , Pauli Mustalahti , Mohammad Dastranj , Jouni Mattila

This paper addresses the trajectory tracking problem of an autonomous tractor-trailer system by using a fast distributed nonlinear model predictive control algorithm in combination with nonlinear moving horizon estimation for the state and…

Systems and Control · Electrical Eng. & Systems 2021-04-21 Erkan Kayacan , Erdal Kayacan , Herman Ramon , Wouter Saeys

In this paper we consider the problem of stabilization and tracking of desired state trajectory for a wide range of nonlinear control problems with disturbances. We present the sufficient conditions for the existence of $C^k$ state feedback…

Optimization and Control · Mathematics 2020-12-18 Robert Vrabel

This paper addresses the three-dimensional path-following guidance problem for unmanned aerial vehicles under explicit actuator constraints. Unlike conventional approaches that assume unbounded control inputs or handle saturation…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Vinay Kathiriya , Saurabh Kumar , Shashi Ranjan Kumar

In this paper we use an affine connection formulation to study an optimal control problem for a class of nonholonomic, under-actuated mechanical systems. In particular, we aim at minimizing the norm-squared of the control input to move the…

Optimization and Control · Mathematics 2007-05-23 Islam I. Hussein , Anthony M. Bloch