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Related papers: Geometric PID Controller for Stabilization of Nonh…

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The PID controller remains the most widely adopted control architecture, with groundbreaking success across extensive implications. However, optimal parameter tuning for PID controller remains a critical challenge. Existing theories…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Zimao Sheng , Hongan Yang , Jiakang Wang , Tong Zhang

Nonholonomic systems are, so to speak, mechanical systems with a prescribed restriction on the velocities. A virtual nonholonomic constraint is a controlled invariant distribution associated with an affine connection mechanical control…

Optimization and Control · Mathematics 2024-11-11 Efstratios Stratoglou , Alexandre Anahory Simoes , Anthony Bloch , Leonardo J. Colombo

In this article, we give a condition for the global controllability of affine nonlinear control systems with drifts on Euclidean spaces. Under regularity assumptions, the condition is necessary and sufficient in the codimension-1 and…

Optimization and Control · Mathematics 2023-09-12 Zhengping Ji , Xiao Zhang , Daizhan Cheng

A geometric derivation of numerical integrators for nonholonomic systems and optimal control problems is obtained. It is based in the classical technique of generating functions adapted to the special features of nonholonomic systems and…

Mathematical Physics · Physics 2016-09-07 M. de Leon , D. Martin de Diego , A. Santamaria Merino

The problem of PID type controller tuning has been addressed in this paper. In particular, a method of selection of PD settings based on the solution of linear-quadratic optimisation problem using the energy criterion has been investigated.…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Krzysztof Laddach , Mateusz Czyżniewski , Rafał Łangowski

Decentralized PID controllers have been designed in this paper for simultaneous tracking of individual process variables in multivariable systems under step reference input. The controller design framework takes into account the…

Systems and Control · Computer Science 2013-01-08 Sayan Saha , Saptarshi Das , Anindya Pakhira , Sumit Mukherjee , Indranil Pan

This paper addresses forward motion control for trajectory tracking and mobile formation coordination for a group of non-holonomic vehicles on SE(2). Firstly, by constructing an intermediate attitude variable which involves vehicles'…

Systems and Control · Computer Science 2019-03-01 Xiuhui Peng , Zhiyong Sun , Kexin Guo , Zhiyong Geng

In recent years, different mathematical models have been proposed for widely used internet control mechanisms. Simple low order controllers (such as PID, and Smith predictor based linear controllers that are easy to implement) are desired…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Murat Saglam , Sami Ezercan , Suat Gumussoy , Hitay Ozbay

In this paper a method of controlling nonholonomic systems within the port-Hamiltonian (pH) framework is presented. It is well known that nonholonomic systems can be represented as pH systems without Lagrange multipliers by considering a…

Systems and Control · Computer Science 2018-01-23 Joel Ferguson , Alejandro Donaire , Christopher Renton , Richard H. Middleton

Multi-wing chaotic attractors are highly complex nonlinear dynamical systems with higher number of index-2 equilibrium points. Due to the presence of several equilibrium points, randomness and hence the complexity of the state time series…

Chaotic Dynamics · Physics 2016-11-30 Saptarshi Das , Anish Acharya , Indranil Pan

The dead-zone is one of the most common hard nonlinearities in industrial actuators and its presence may drastically compromise control systems stability and performance. In this work, an adaptive variable structure controller is proposed…

Systems and Control · Electrical Eng. & Systems 2022-05-30 Wallace Moreira Bessa

Computing the receding horizon optimal control of nonlinear hybrid systems is typically prohibitively slow, limiting real-time implementation. To address this challenge, we propose a layered Model Predictive Control (MPC) architecture for…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Zachary Olkin , Aaron D. Ames

Hyper-redundant robots offer high dexterity, making them good at operating in confined and unstructured environments. To extend the reachable workspace, we built a multi-segment flexible rack actuated planar robot. However, the compliance…

Robotics · Computer Science 2026-03-12 Yuli Song , Wenbo Li , Wenci Xin , Zhiqiang Tang , Daniela Rus , Cecilia Laschi

We consider a dual-core nonlinear waveguide with the parity-time (PT) symmetry, realized in the form of equal gain and loss terms carried by the coupled cores. To expand a previously found stability region for solitons in this system, and…

Pattern Formation and Solitons · Physics 2019-07-24 Zhiwei Fan , Boris A. Malomed

Electro-hydraulic servo-systems are widely employed in industrial applications such as robotic manipulators, active suspensions, precision machine tools and aerospace systems. They provide many advantages over electric motors, including…

Systems and Control · Electrical Eng. & Systems 2022-06-16 Josiane Maria de Macedo Fernandes , Marcelo Costa Tanaka , Wallace Moreira Bessa

This paper provides nonlinear tracking control systems for a quadrotor unmanned aerial vehicle (UAV) that are robust to bounded uncertainties. A mathematical model of a quadrotor UAV is defined on the special Euclidean group, and nonlinear…

Optimization and Control · Mathematics 2011-09-22 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

The isoline tracking of this work is concerned with the control design for a sensing robot to track a given isoline of an unknown 2-D scalar filed. To this end, we propose a coordinate-free controller with a simple PI-like form using only…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Fei Dong , Keyou You

Let H denote the 3-dimensional Heisenberg Lie group. The present paper classify all possible linear control systems on the homogeneous spaces of H through its closed subgroups and expose a detailed study on the control behavior…

Dynamical Systems · Mathematics 2022-11-09 Adriano Da Silva , Okan Duman , Eyüp Kizil

In this paper, we study graphical conditions for structural controllability and accessibility of drifted bilinear systems over Lie groups. We consider a bilinear control system with drift and controlled terms that evolves over the special…

Optimization and Control · Mathematics 2021-03-25 Xing Wang , Bo Li , Jr-Shin Li , Ian R. Petersen , Guodong Shi

An approach is proposed to design the intelligent electrode position controller for UHP by using nonlinear scaling and fuzzy self tuning PID control algorithm. First, nonlinear scaling of controlled variable that compensate the nonlinearity…

Systems and Control · Computer Science 2017-02-28 Yun Chol Guk , Sin Yong Chol , Kwak Son Il