## 1 Introduction  
In the recent era, mobile robots are receiving attention in many applications where human and robot interactions have become feasible. In addition, the application of robots in a friendly manner and the simplicity of the robotic design complement humans in many activities. Everyone is talking about smartness and digitization in daily and routine life. The demand for automation is increasing daily, with greater flexibility in completing tasks. There are many research gaps and applications of the telepresence robot. A few of the research gaps are highlighted as follows:  
1. Robots can work remotely and even in environments where it becomes impossible for a human being to approach them. These robots are obtaining market value due to their capabilities, including executing complex tasks simply and with a fast and precise response. It becomes easy for the robot to work in hazardous environments [1, 2, 3]. Besides completing complex tasks, robots are mostly used in entertainment, the fashion industry, teleconferencing and healthcare systems [4; 5; 6]. However, healthcare applications require sophisticated robots to perform exact and precise surgery, which requires complex robot design and controlled functions [7]. For such an environment, robots should be well-trained using the master-slave application. In other environments, such as military applications and a scenario such as the COVID-19 pandemic, orientation and self-localization play a vital role. 3. In the current situation, human beings are more dependent on technology than ever before, and it is becoming more and more complicated. Even though rapid progress in automation has been attained in addressing social and industrial issues using remotely controlled devices, further investigation is inspired by user satisfaction and systematic requirement analysis. Telepresence robots, called smart and independent machines, could be a possible substitute to be included in the human social ecosystem. Telepresence robots are machines designed to enable individuals to interact with and explore remote environments in real time. These robots can be remotely operated from anywhere worldwide, allowing users to virtually visit far-flung locations without leaving the comfort of their homes or offices [8]. It is accessible as a reasonable solution, permitting the user to be at home with ongoing distant checking and maintain communication with the counsellor [9; 10; 11]. The concept of telepresence has been around for decades. Still, recent advancements in technology have made it possible to create more sophisticated telepresence robots that offer a higher degree of interactivity and immersion. These robots typically consist of a mobile base that can move around a space, a camera and microphone for capturing video and audio, and a screen or display that allows the user to see and hear what the robot is seeing and hearing. [12; 13]. In the presented research work, a stability and control design of a mobile robot has been developed. One of the primary applications of telepresence robots is in the field of remote work. With the rise in remote work and distributed teams, telepresence robots offer a way for remote workers to feel more connected to their colleagues and workplace. For example, a telepresence robot can allow remote workers to attend meetings and interact with coworkers as if they were physically in the office [14; 15; 16; 17; 18; 19]. Telepresence robots are also increasingly being used in healthcare settings. For example, doctors can use telepresence robots to remotely visit patients and provide consultations without physically being in the same location. This is particularly useful for patients in remote or underserved areas, where access to medical professionals may be limited. A mini-computer is an essential part of the robot, which comprises the user program, and the operator can parameterize the robot by exploiting these parameters. A wireless interface is also applied so the robot can be operated remotely [20].