Incorporate intelligence into an ecological system: an adaptive fuzzy control approach

Authors:
Zhenkun Huang;Shuili Chen;Yonghui Xia
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, China and School of Sciences, Jimei University, Xiamen, Fujian, China;School of Sciences, Jimei University, Xiamen, Fujian, China;College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, China
Venue:
Applied Mathematics and Computation
Year:
2006

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Abstract

In this paper, we incorporate intelligence into Kolmogorov's ecological system, that is, we propose a fuzzy system to combine heuristic rules into the design of nonlinear adaptive controller, where the heuristic rules are in the form of fuzzy IF-THEN rules. By using Lyapunov synthesis approach, we attain an adaptive law adjusting the free parameters in the controller such that the closed-loop system follows a desired trajectory. Although there exist uncertainty and chaos in Komogorov's model, application shows that an adaptive fuzzy control is a powerful tool to pursuit sustainable development of ecology.