Design of Control System in the Class of Two-Parametric Structurally Stable Mappings

Abstract:

In this paper, we proposed a method for design of control systems with a high potential of robust stability in a class of two-parametric structurally stable mappings. Research of robust stability is based on the geometric interpretation of the second Lyapunov method, and also definition of system stability in the state space.We propose a method for construct the control system, designed in two-parametric class of structurally stable mappings, which will be sustained indefinitely in a wide range of uncertain parameters of the control object. This work presents novelty theoretical fundamental results assisting in analyzing of the behavior of control systems, meaning of robust stability.

• Periodical: Applied Mechanics and Materials (Volumes 799-800)
• Pages: 1137-1141
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.799-800.1137
• Online since: October 2015
• Authors: Leila Abdrakhmanova*, Mamyrbek Beisenbi
• Keywords: Control System, Geometric Interpretation, Robust Stability, Structurally Stable Mappings

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