Applications Based on Symmetry in Control Systems and Robotics

Dear Colleagues,

Control theory is a fundamental engineering discipline that studies the design of strategies to modify the desired behavior of a system by manipulating its inputs, ensuring stability and performance in a wide range of applications, from robots to industrial processes. In recent years, symmetry has acquired a prominent role in control theory, providing new tools for the analysis and design of dynamic systems. In this context, symmetry refers to invariant properties of the system under certain transformations, making it possible to exploit mathematical foundations to improve the design of controllers. Its integration into control theory facilitates the understanding of system dynamics and contributes to the formulation of more efficient and stable control strategies.

The analysis of symmetries in physical systems not only simplifies the design of control algorithms but can also improve the robustness and efficiency of controllers by reducing model complexity and providing a more predictable and controllable structure. In particular, symmetry plays a key role in the design of robust and adaptive controls, optimizing performance under dynamic and nonlinear conditions. The applications of this perspective are broad, ranging from robotics and aeronautics to industrial automation, where the exploitation of symmetries allows improving the efficiency and autonomy of systems. The integration of symmetry in control theory not only allows addressing complex problems more efficiently but also opens new possibilities in the design of highly dynamic systems, improving their stability, performance and adaptive capacity.

Prof. Dr. José Varela-Aldás
Guest Editor

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