Ant search based control optimisation strategy for a class of chaotic system

In this paper the authors propose a logistic mapping using chaotic model to describe the time-variable pest population. Two kinds of fuzzy rule embedded control strategies are investigated, three segment control and five segment control. They are designed to reduce the pest population. The simulation results show that the objective function is non-convex and anomalous along the control parameters. To find the optimal parameter combinations we develop an ant search approach. By imitating the food hunting and nest moving behaviours of Pachycondyla apicalis ants, this method can adaptively and effectively explore solution areas and arrive at the optimal solution. When we compared the performance curves with the one without control strategy, the method is better and can be used for a wide range of pest control problems in real life.

[1]  Er-Wei Bai,et al.  A controller for the logistic equations , 2001 .

[2]  Corso Elvezia Ant Colonies for the QAP , 1997 .

[3]  M Dorigo,et al.  Ant colonies for the quadratic assignment problem , 1999, J. Oper. Res. Soc..

[4]  Nicolas Monmarché,et al.  On how Pachycondyla apicalis ants suggest a new search algorithm , 2000, Future Gener. Comput. Syst..

[5]  L. A. ZADEH,et al.  The concept of a linguistic variable and its application to approximate reasoning - I , 1975, Inf. Sci..

[6]  Walter J. Gutjahr,et al.  ACO algorithms with guaranteed convergence to the optimal solution , 2002, Inf. Process. Lett..

[7]  Marco Dorigo,et al.  Ant algorithms and stigmergy , 2000, Future Gener. Comput. Syst..

[8]  Barbara Webb,et al.  Swarm Intelligence: From Natural to Artificial Systems , 2002, Connect. Sci..

[9]  Walter J. Gutjahr,et al.  A Graph-based Ant System and its convergence , 2000, Future Gener. Comput. Syst..

[10]  Ilkka Hanski,et al.  Population Dynamics of Small Rodents in Northern Fennoscandia , 2000 .

[11]  R. W Farebrother The role of chaotic processes in econometric models , 1996 .

[12]  Jose Miguel Puerta,et al.  Searching for the best elimination sequence in Bayesian networks by using ant colony optimization , 2002, Pattern Recognit. Lett..

[13]  Huang Zhen Can icefish (Salangidae) production be predicted , 2001 .

[14]  Shekhar Jayanthi,et al.  Innovation implementation in high technology manufacturing: A chaos-theoretic empirical analysis , 1998 .

[15]  Marco Dorigo,et al.  New Ideas in Optimisation , 1999 .

[16]  Marco Dorigo,et al.  Ant system: optimization by a colony of cooperating agents , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[17]  Gregg Hartvigsen,et al.  Applied Population Ecology , 1997 .

[18]  Mak A. Kaboudan,et al.  Diagnosing chaos by a fuzzy classifier , 1999, Fuzzy Sets Syst..

[19]  Timo Hartmann,et al.  Chaos: A Program Collection for the PC , 1994 .

[20]  Richard F. Hartl,et al.  Applying the ANT System to the Vehicle Routing Problem , 1999 .

[21]  Gustav Feichtinger,et al.  Chaos Theory in Operations Research , 1996 .