Analysis and Minimization of Limit Cycles in Fuzzy Control Systems

Abstract

ABSTRACT
Limit cycles are an important and critical phenomenon commonly found in a class of non-linear control systems. Limit cycles can be observed in different areas of engineering and natural systems. These are frequently found in an aircraft wing fluttering, where the interaction of aerodynamic forces and structural vibrations are present. The design of a control system using fuzzy logic controllers (FLC) are non-linear in nature. The presence of limit cycles degrades the performance of the overall system design and they must be analyzed and controlled by suitable design parameters. In this paper, a fuzzy logic-based control system (non-linear in nature) is analyzed in frequency domain to observe the presence of limit cycles with the help of classical methods including describing function and Nyquist plot. An example is demonstrated using computer simulations to show the usefulness and result validation of the proposed technique.

Keywords: Fuzzy logic controller (FLC), limit cycle, describing function, controller, control system

Cite this Article: Sanjeev Kumar Saini. Analysis and Minimization of Limit Cycles in Fuzzy Control Systems. International Journal of Embedded Systems and Emerging Technologies. 2020; 6(1): 1–10p.