Advanced Control Theory in Robot System

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".

Deadline for manuscript submissions: 31 August 2025 | Viewed by 1166

Special Issue Editor


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Instituto de Automática (INAUT), Universidad Nacional de San Juan—Consejo Nacional de Investigaciones Científicas y Técnicas, Av. San Martín (Oeste) 1109, San Juan J5400ARL, Argentina
Interests: artificial intelligence; automatic control; identification; adaptive control

Special Issue Information

Dear Colleagues,

The theory of feedback control is based on mathematics and widely used in different branches of engineering. Closed-loop controllers are fundamental for the proper operation and control of robotic and mechatronic systems. For this reason, the focus of this Special Issue is to show and disseminate the relevant design and application of different control techniques in robotics. The control theory provides a systematic approach to design stable controllers, which avoid strong oscillations, accurately achieve their objectives, and have fast responses stabilizing around a final steady-state value . This Special Issue presents different works on the theory of control and its application in robotics and other related areas. These areas include, but are not limited to, new insights in mathematical models, sensing, perception, and the control of complex systems and robots, and IA applications of control theory.

We are seeking high-quality and innovative research and review papers that cover these topics. 

Dr. Francisco Rossomando
Guest Editor

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Keywords

  • mathematics problems in robot motion and trajectory control
  • adaptive control in robotics and mechatronic
  • IA applications in robot control
  • robot optimal control
  • robot stability and analysis of dynamics

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Published Papers (1 paper)

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Research

21 pages, 4001 KiB  
Article
Exponential Trajectory Tracking Control of Nonholonomic Wheeled Mobile Robots
by Plamen Petrov and Ivan Kralov
Mathematics 2025, 13(1), 1; https://doi.org/10.3390/math13010001 - 24 Dec 2024
Cited by 2 | Viewed by 867
Abstract
Trajectory tracking control is important in order to realize autonomous driving of mobile robots. From a control standpoint, trajectory tracking can be stated as the problem of stabilizing a tracking error system that describes both position and orientation errors of the mobile robot [...] Read more.
Trajectory tracking control is important in order to realize autonomous driving of mobile robots. From a control standpoint, trajectory tracking can be stated as the problem of stabilizing a tracking error system that describes both position and orientation errors of the mobile robot with respect to a time-parameterized path. In this paper, we address the problem for the trajectory tracking of nonholonomic wheeled mobile robots, and an exponential trajectory tracking controller is designed. The stability analysis is concerned with studying the local exponential stability property of a cascade system, provided that two isolated subsystems are exponentially stable and under certain bound conditions for the interconnection term. A theoretical stability analysis of the dynamic behaviors of the closed-loop system is provided based on the Lyapunov stability theory, and an exponential stability result is proven. An explicit estimate of the set of feasible initial conditions for the error variables is determined. Simulation results for verification of the proposed tracking controller under different operating conditions are given. The obtained results show that the problem of trajectory tracking control of nonholonomic wheeled mobile robots is solved over a large class of reference trajectories with fast convergence and good transient performance. Full article
(This article belongs to the Special Issue Advanced Control Theory in Robot System)
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