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Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional systems. To overcome this challenge, we focus on developing…

Optimization and Control · Mathematics 2024-12-30 Tobias Breiten , Shubhaditya Burela , Philipp Schulze

The Proportional-Integral-Derivative Controller is widely used in industries for process control applications. Fractional-order PID controllers are known to outperform their integer-order counterparts. In this paper, we propose a new…

Other Computer Science · Computer Science 2008-11-04 Mithun Chakraborty , Deepyaman Maiti , Amit Konar

Almost-global orientation trajectory tracking for a rigid body with external actuation has been well studied in the literature, and in the geometric setting as well. The tracking control law relies on the fact that a rigid body is a simple…

Systems and Control · Computer Science 2017-03-27 Aradhana Nayak , Ravi N. Banavar

This paper deals with designing a robust fixed-order dynamic output feedback controller for uncertain fractional order linear time invariant (FO-LTI) systems by means of linear matrix inequalities (LMIs). Our purpose is to design a low…

Optimization and Control · Mathematics 2018-02-22 Pouya Badri , Mahdi Sojoodi

In this paper we present a geometric control law for position and line-of-sight stabilization of the nonholonomic spherical robot actuated by three independent actuators. A simple configuration error function with an appropriately defined…

Wheeled robots are highly efficient in human living environments. However, conventional wheeled designs, with their limited degrees of freedom and constraints in robot configuration, struggle to simultaneously achieve stability,…

Robotics · Computer Science 2024-12-17 Ziqi Zhao , Peijia Xie , Max Q. -H. Meng

Robotic applications across industries demand advanced navigation for safe and smooth movement. Smooth path planning is crucial for mobile robots to ensure stable and efficient navigation, as it minimizes jerky movements and enhances…

Robotics · Computer Science 2024-05-06 Mahsa Mohaghegh , Hedieh Jafarpourdavatgar , Samaneh Alsadat Saeedinia

The precise motion control of a multi-degree of freedom~(DOF) robot manipulator is always challenging due to its nonlinear dynamics, disturbances, and uncertainties. Because most manipulators are controlled by digital signals, a novel…

Robotics · Computer Science 2021-02-09 Zhian Kuang , Xiang Zhang , Liting Sun , Huijun Gao , Masayoshi Tomizuka

Motion systems are a vital part of many industrial processes. However, meeting the increasingly stringent demands of these systems, especially concerning precision and throughput, requires novel control design methods that can go beyond the…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Yorick Broens , Hans Butler , Roland Tóth

The inverted pendulum is a non-linear unbalanced system that needs to be controlled using motors to achieve stability and equilibrium. The inverted pendulum is constructed with Lego and using the Lego Mindstorm NXT, which is a programmable…

Reduced-order models (ROMs) provide a powerful means of synthesizing dynamic walking gaits on legged robots. Yet this approach lacks the formal guarantees enjoyed by methods that utilize the full-order model (FOM) for gait synthesis, e.g.,…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Sergio A. Esteban , Max H. Cohen , Adrian B. Ghansah , Aaron D. Ames

Feedback control synthesis for nonlinear, parameter-dependent fluid flow control problems is considered. The optimal feedback law requires the solution of the Hamilton-Jacobi-Bellman (HJB) PDE suffering the curse of dimensionality. This is…

Optimization and Control · Mathematics 2023-11-29 Sergey Dolgov , Dante Kalise , Luca Saluzzi

In this paper, we present the design and implementation of a robust motion formation distributed control algorithm for a team of mobile robots. The primary task for the team is to form a geometric shape, which can be freely translated and…

Robotics · Computer Science 2018-09-21 Hector Garcia de Marina , Johan Siemonsma , Bayu Jayawardhana , Ming Cao

This letter considers control of a radially symmetric tripedal friction-driven robot. The robot features 3 servo motors mounted on a 3-D printed chassis 7 cm from the center of mass and separated 120 degrees. These motors drive limbs, which…

Robotics · Computer Science 2021-03-25 Mark Hermes , Taylor McLaughlin , Mitul Luhar , Quan Nguyen

Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional systems. To overcome this challenge, we focus on developing…

Optimization and Control · Mathematics 2026-03-31 Tobias Breiten , Shubhaditya Burela , Philipp Schulze

This paper presents a layered control approach for real-time trajectory planning and control of robust cooperative locomotion by two holonomically constrained quadrupedal robots. A novel interconnected network of reduced-order models, based…

Robotics · Computer Science 2022-11-15 Jeeseop Kim , Randall T Fawcett , Vinay R Kamidi , Aaron D Ames , Kaveh Akbari Hamed

This study presents a novel, continuous finite-time control strategy for a class of nonlinear systems subject to matched uncertainties with unknown bounds. We propose an Adaptive Disturbance Observer-based Full-order Integral-Terminal…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Jit Koley , Binoy Krishna Roy

The main aim of this paper is to solve a path planning problem for an autonomous mobile robot in static and dynamic environments. The problem is solved by determining the collision-free path that satisfies the chosen criteria for shortest…

Robotics · Computer Science 2020-03-24 Fatin H. Ajeil , Ibraheem Kasim Ibraheem , Mouayad A. Sahib , Amjad J. Humaidi

This paper presents methodologies to discretize nominal robot paths extracted from 3-D CAD drawings. Behind robot path discretization is the ability to have a robot adjusting the traversed paths so that the contact between robot tool and…

Robotics · Computer Science 2013-09-10 Nuno Mendes , Pedro Neto , Norberto Pires , Altino Loureiro

We present a control framework that enables humanoid robots to perform collaborative transportation tasks with a human partner. The framework supports both translational and rotational motions, which are fundamental to co-transport…

Robotics · Computer Science 2025-12-09 Shubham S. Kumbhar , Abhijeet M. Kulkarni , Panagiotis Artemiadis