Applications Based on Symmetry/Asymmetry in Control Engineering

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".

Deadline for manuscript submissions: 30 April 2026 | Viewed by 886

Special Issue Editor


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Guest Editor
Consejo Nacional de Humanidades, Ciencias y Tecnologías, Mexico City, Mexico
Interests: robotics applied to rehabilitation; adaptable control; exoskeletons

Special Issue Information

Dear Colleagues,

Symmetry considerations can play a role in the design, development, modeling, and control of robots, particularly in the context of automatic control.

System Modeling: By identifying symmetries in the mechanical structure or motion patterns of the robot, engineers can reduce the complexity of the mathematical models used for control design. This simplification can lead to more efficient analysis and control algorithms.

Control Algorithm Design: If the robot’s structure or task exhibits symmetries, control strategies can be developed to exploit these symmetries. This can involve designing controllers that take advantage of symmetric properties to improve coordination, synchronization, or the performance of the robot’s movements.

Stability and Performance Analysis: By understanding the symmetries present in the system dynamics and control algorithms, engineers can analyze the stability properties and design control strategies that preserve or exploit these symmetries. Symmetry-based stability analysis can provide insights into the robustness and performance of the control system.

Task Execution: By exploiting symmetries in the task, such as repetitive or periodic motions, control algorithms can be designed to optimize the robot’s performance, reduce energy consumption, or improve accuracy in task execution.

Human–Robot Interactions: By synchronizing the robot’s movements with the user’s actions or leveraging symmetries in the user’s gestures or commands, control algorithms can enhance the coordination and collaboration between humans and robots.

This Special Issue welcomes all contributions on the recent advances in the study of automatic control of modeling and methods.

Prof. Dr. Ricardo López-Gutiérrez
Guest Editor

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Keywords

  • robot
  • automatic control
  • system modeling
  • control algorithm
  • stability and performance analysis
  • task execution
  • human–robot interactions

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Published Papers (1 paper)

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21 pages, 3402 KB  
Article
Symmetry and Asymmetry in Dynamic Modeling and Nonlinear Control of a Mobile Robot
by Vesna Antoska Knights, Olivera Petrovska and Jasenka Gajdoš Kljusurić
Symmetry 2025, 17(9), 1488; https://doi.org/10.3390/sym17091488 - 8 Sep 2025
Viewed by 349
Abstract
This paper examines the impact of symmetry and asymmetry on the dynamic modeling and nonlinear control of a mobile robot with Ackermann steering geometry. A neural network-based residual model is incorporated as a novel control enhancement. This study presents a control-oriented formulation that [...] Read more.
This paper examines the impact of symmetry and asymmetry on the dynamic modeling and nonlinear control of a mobile robot with Ackermann steering geometry. A neural network-based residual model is incorporated as a novel control enhancement. This study presents a control-oriented formulation that addresses both idealized symmetric dynamics and real-world asymmetric behaviors caused by actuator imperfections, tire slip, and environmental variability. Using the Euler–Lagrange formalism, the robot’s dynamic equations are derived, and a modular simulation framework is implemented in MATLAB/Simulink R2022a, that incorporates distinct steering and propulsion subsystems. Symmetric elements, such as the structure of the inertia matrix and kinematic constraints, are contrasted with asymmetries introduced through actuator lag, unequal tire stiffness, and nonlinear friction. A residual neural network term is introduced to capture unmodeled dynamics and improve the robustness. The simulation results show that the control strategy, originally developed under symmetric assumptions, remains effective when adapted to systems exhibiting asymmetry, such as actuator delays and tire slip. Explicitly modeling these asymmetries enhances the precision of trajectory tracking and the overall system robustness, particularly in scenarios involving varied terrain and obstacle-rich environments. Full article
(This article belongs to the Special Issue Applications Based on Symmetry/Asymmetry in Control Engineering)
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