The Study of Stability Control Systems for the Technological Processes

This paper presents an approach to designing a single-input-single-output (SISO) control system with enhanced robust stability characteristics and study of stability control systems for the technological process. The underlying method can be applied to objects with parametric uncertainty and control actions are chosen in the class of structurally-stable mappings with one control factor that are based on catastrophe theory. This facilitates synthesis of highly efficient control systems with a very wide range of robust stability. The latter is investigated using the method of Lyapunov functions. The results are demonstrated by an example of a control system designed in the class of structurally-stable mappings and applied to the technological process of drying in textile industry.