Intelligent Robots Control and Navigation and Their Mathematical Methods and Insights

Dear Colleagues,

This Special Issue, titled “Intelligent Robots Control and Navigation and Their Mathematical Methods and Insights” promotes a deeper understanding and design of all fundamental aspects in intelligent robot control and navigation, and bridges theoretical questions, foundational issues, and the continuing evolution of applications. The emphasis is on mathematical methods and insights that lead to a better understanding of the aspects of robot control and navigation and on the latter’s expansion into new domains.

Technological advancements have not only enhanced the utilization of mechanical systems in industrial settings but, more significantly, have also extended their applications to sectors previously unimaginable just a few years ago. The term "mechatronics" now broadly refers to modern robotic systems equipped with sophisticated electronic control devices. These devices play a crucial role in enabling systems to achieve high performance and facilitate their integration into various aspects of our daily lives. This synergy has the potential to profoundly alter certain facets of the production world. In particular, with the “New Deal” proposed in the industrial revolution named Industry 4.0, new challenges and intelligent control strategies are necessary. Industry 4.0 refers to the intelligent networking of robots in industry with the help of information and communication technology. There are many ways for companies to use this form of intelligent networking. Intelligence is directly related to the capability to establish connections and cooperation between robots and machines. In this context, mathematical insights play a crucial role in the conception an design of the control and navigation strategies of robots.

In recent years, there has been growing interest in robots, a distinct category of mechanical systems, alongside concerns and uncertainties about their impact on productivity and, ultimately, their societal implications. Future developments in robotics pose a formidable challenge in the realm of mathematics, given the pivotal role that control mechanisms play in this field. Indeed, robot control stands out as one of the most significant and complex subjects for mathematicians, engineers, physicians, and practitioners alike. Mathematical considerations form the core of the design of control systems for the movements and performance of robots.

This Special Issue aims to compile the latest advancements in mathematical methods and insights, addressing not only theoretical but also practical challenges in classical and modern robot structures. These structures encompass a range of types, including robotic manipulators, walking robots, flexible robots, haptic robots, and various traditional and innovative mechanisms, each designed to tackle diverse tasks such as grasp, manipulation, and motion in various applications. Particular emphasis is given to the mathematical insights provided by the approaches.

Prof. Dr. Paolo Mercorelli
Dr. Oleg Sergiyenko
Dr. Oleksandr Tsymbal
Guest Editors

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• mathematics problems in robot motion and grasp
• robot control
• robot optimal control
• robot stability and analysis of the dynamics
• robot motion planning and navigation