Аннотация:The relevance of choosing the use of autonomous robotic systems for various purposes as the subject of research and algorithmic problems arising in the safety control of algorithms as the object of research is determined by the existing contradiction between the need for autonomation of robotic systems and the complexity of the software implementation of this requirement. The study was carried out using the example of the application of robotics in the field of unmanned vehicles. The implementation of autonomy trends in this area gives rise to certain legal and technological problems associated with the safety of algorithmic support for autonomous systems. A manifestation of such problems is critical application errors, which are difficult to identify at the development stage. In robotics, the main potential cause of these errors is the functioning of the software of autonomous robotic systems outside the framework of the deterministic algorithms that were tested during their development. And if for ordinary technical systems the consequences of application errors are predictable, and the responsibility for their results is determined, then for the case of using autonomous robots, the situation requires a solution. In this paper, using general scientific methods of analysis and synthesis, the main aspects of the current state and prospects of the problem of algorithmization of the use of autonomous systems are studied. On the basis of an overview analysis of algorithmic problems of using autonomous robots, possible consequences and causes of the appearance of algorithmic errors that arise during their use, the statement of the scientific problem of solving the problem of developing heuristic algorithms that determine their application is synthesized