The Building Control Systems Through One-Parameter Structurally Stable Mapping

摘要

This study devoted to problems of building robust stability of control system for dynamic objects in a class of one-parameter structurally stable mapping. Problem of building control systems positions central role in creation of automatic and automated control systems widely used nearly in all areas of production and technology: engineering, textile industries, transport and other technologies, etc. This approach allowing to fully increase potential of robust stability. Concept of building control system with increased potential of robust stability in dynamic objects based on conclusions of Catastrophe theory where structurally stable mapping is deduced. Research of robust stability of control systems based on a new approach to Lyapunov function. Efficiency of control systems is clearly illustrated on the example of building control systems for technological drying process of materials in textile industry. A detailed case provided to demonstrate efficiency of control systems with greater robust stability. The results of numerical experiment prove theoretical principles. This method shows stability of control systems. Actually, the results of creating control systems with greater potential of robust stability allow to provide dynamic safety and operating capacity of control systems in engineering and technologies at their initial design and operation stages.