In recent years, many researchers are involved in the

\r\nfield of fuzzy theory. However, there are still a lot of issues to be

\r\nresolved. Especially on topics related to controller design such as the

\r\nfield of robot, artificial intelligence, and nonlinear systems etc.

\r\nBesides fuzzy theory, algorithms in swarm intelligence are also a

\r\npopular field for the researchers. In this paper, a concept of utilizing

\r\none of the swarm intelligence method, which is called Bacterial-GA

\r\nForaging, to find the stabilized common P matrix for the fuzzy

\r\ncontroller system is proposed. An example is given in in the paper, as

\r\nwell.<\/p>\r\n","references":"[1] A. Bogomolny, \"On the perimeter and area of fuzzy sets, Fuzzy Sets and\r\nSystems,\u201d vol. 23, 1987, pp. 257-269.\r\n[2] P.J.M. van Laarhoven and W. Perdrycz, \"A fuzzy Extension of Saaty\r\npriority theory,\u201d Fuzzy Set and Systems, vol. 11, 1983, pp. 229-241.\r\n[3] D. Dubois and H. Prade, \"Fuzzy Sets and Systems: Theory and\r\nApplications,\u201d Academic Press, New York 1980.\r\n[4] H. J. Zimmermann, Fuzzy Sets, Decision Making and Expert Systems,\r\n(1991) Boston: Kluwer Academic Publisher.\r\n[5] H. J. Zimmermann., Fuzzy Set Theory and Its Applications, (1991)\r\nKluwer, Dordrecht.\r\n[6] C. Y. Chen, W. I. Lee, Y. C. Sui, and C. W. Chen, \"Applying half-circle\r\nfuzzy numbers to control system: a preliminary study on development of\r\nintelligent system on marine environment and engineering,\u201d World\r\nAcademy of Science, Engineering and Technology, vol. 72, 2010, pp.\r\n204-209.\r\n[7] F.H. Hsiao, W.L. Chiang, C.W. Chen, S.D. Xu and S.L. Wu, \"Application\r\nand robustness design of fuzzy controller for resonant and chaotic\r\nsystems with external disturbance,\u201d International Journal of Uncertainty,\r\nFuzziness and Knowledge-Based System, vol. 13, 2005, pp. 281-295.\r\n[8] S.-C. Chu, and P.-W. Tsai, \"Computational Intelligence Based on the\r\nBehavior of Cats,\u201d International Journal of Innovative Computing,\r\nInformation and Control, vol. 3, no. 1, 2007, pp. 163-173.\r\n[9] S.-C. Chu, P.-W. Tsai, and J.-S. Pan, \"Cat Swarm Optimization,\u201d in Proc.\r\n9th Pacific Rim International Conference on Artificial Intelligence, LNAI\r\n4099, 2006, pp. 854-858.\r\n[10] J.-S. Pan, P.-W. Tsai, and B.-Y. Liao, \"Fish Migration Optimization\r\nBased on the Fishy Biology,\u201d in Proc. of 2010 4th International\r\nConference on Genetic and Evolutionary Computing, 2010, pp. 783-786.\r\n[11] P.-W. Tsai, J.-S. Pan, B.-Y. Liao, M.-J. Tsai, and V. Istanda, \"Bat\r\nAlgorithm Inspired Algorithm for Solving Numerical Optimization\r\nProblems,\u201d Applied Mechanics and Materials, vol. 148-149, 2012, pp.\r\n134-137.\r\n[12] C.W. Chen, W.L. Chiang, and C.H. Tsai et al., \"Fuzzy Lyapunov method\r\nfor stability conditions of nonlinear systems,\u201d International Journal on\r\nArtificial Intelligence Tools, vol. 15, 2006, pp. 163-171.\r\n[13] C.W. Chen, W.L. Chiang, and F.H. Hsiao, \"Stability analysis of T-S\r\nfuzzy models for nonlinear multiple time-delay interconnected systems,\u201d\r\nMathematics and Computers in Simulation, vol. 66, 2004, pp. 523-537.\r\n[14] F.H. Hsiao, C.W. Chen, and Y.W. Liang et al., \"T-S fuzzy controllers for\r\nnonlinear interconnected systems with multiple time delays,\u201d IEEE Trans.\r\nCircuits & Systems-I, vol. 52, 2005, pp. 1883- 1893.\r\n[15] W. I. Lee, C. W. Chen, C. Y. Chen, and Y. C. Sui, \"Application of\r\nhalf-circle fuzzy numbers and development of triangular fuzzy numbers\r\nto fuzzy control,\u201d in Proc. 10th WSEAS International Conf. on Applied\r\nComputer Sciences (ACS\u201910), Japan, 2010, pp. 335-340.\r\n[16] J.M. Mendel, \"Fuzzy logic systems for engineering: A tutorial,\u201d in Proc.\r\nof the IEEE, 83 March 1995.\r\n[17] J. J. Buckley, \"Fuzzy Hierarchical Analysis,\u201d Fuzzy Sets and System, vol.\r\n17, 1985, pp. 233-247.\r\n[18] C.W. Chen, C.L. Lin, C.H. Tsai, C.Y. Chen, and K. Yeh, \"A novel\r\ndelay-dependent criteria for time-delay T-S fuzzy systems using fuzzy\r\nLyapunov method,\u201d International Journal on Artificial Intelligence Tools,\r\nvol. 16, 2007, pp. 545-552.\r\n[19] J. J. Buckley, \"Ranking alternatives using fuzzy number,\u201d Fuzzy Set and\r\nSystem, vol. 15, 1985, pp. 21 -31.\r\n[20] J. J. Buckley and E. Eslami, \"Fuzzy plane geometry I: Points and lines,\u201d\r\nFuzzy Sets and Systems, vol. 86, 1997, pp. 179-187.\r\n[21] J.J. Buckley and E. Eslami, \"Fuzzy plane geometry II: Circles and\r\npolygons,\u201d Fuzzy Sets and Systems, vol. 87, 1997, pp. 79-85.\r\n[22] G. Beni, J. Wang, \"Swarm Intelligence in Cellular Robotic Systems,\u201d in\r\nProc. of NATO Advanced Workshop on Robots and Biological Systems,\r\nTuscany, Italy, 1989.\r\n[23] S. Mishra, and C. N. Bhende, \"Bacterial Foraging Technique-Based\r\nOptimized Active Power Filter for Load Compensation\u201d, IEEE\r\nTransactions on Power Delivery, vol. 22, no. 1, 2007, pp. 457-465.\r\n[24] Kevin M. Passino, \"Biomimicry of Bacterial Foraging for Distributed\r\nOptimization and Control,\u201d Control Systems Magazine, June 2002, pp.\r\n52-67.\r\n[25] W. J. Tang, Q. H. Wu, and J. R. Saunders, \"Bacterial Foraging Algorithm\r\nFor Dynamic Environments,\u201d in Proc. IEEE Congress on Evolutionary\r\nComputation, IEEE, July 2006, pp. 1324-1330.\r\n[26] J. S. Pan, F. R. McInnes and M. A. Jack, \"Application of Parallel Genetic\r\nAlgorithm and Property of Multiple Global Optima to VQ Codevector\r\nIndex Assignment,\u201d Electronics Letters, Vol. 32, No. 4, 1996,\r\npp.296-297.\r\n[27] T.-C. Chen, P.-W. Tsai, S.-C. Chu, and J.-S. Pan, \"A Novel Optimization\r\nApproach: Bacterial-GA Foraging,\u201d in Proc. 2nd International Conf. on\r\nInnovative Computing, Information and Control (ICICIC-2007), Japan","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 89, 2014"}