Describing function analysis of uncertain fuzzy vehicle control systems |
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Authors: | Jau-Woei Perng |
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Affiliation: | (1) Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-sen University, 70, Lienhai Road, Kaohsiung, 80424, Taiwan, ROC |
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Abstract: | In this paper, some useful frequency domain methods including describing function, parameter space, and Kharitonov approach
are applied to analyze the stability of an uncertain fuzzy vehicle control system for limit cycle prediction. A systematic
procedure is proposed to solve this problem. The fuzzy controller can be linearized by the use of classical describing function
firstly. By doing so, it is feasible to treat the stability problem of a fuzzy control system as linear one. In order to consider
the robustness of a fuzzy vehicle control system, parameter space method and Kharitonov approach are then employed for plotting
the stability boundaries. Furthermore, the effect of transport delay is also addressed. More information of limit cycles can
be obtained by this approach. This work shows that the limit cycles caused by a static fuzzy controller can be easily suppressed
if the system parameters are chosen carefully. |
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Keywords: | |
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