A Novel Order Reduction Method Using Cuckoo Search Algorithm

REFERENCES

• E. J. Davison, “A method for simplifying linear dynamic systems,” IEEE Trans. Autom. Control AC, Vol. 11, pp. 93–101, Jan. 1966.
   Web of Science ®Google Scholar
• M. R. Chidambara, “Further comments on “A method for simplifying linear dynamic systems”,” IEEE Trans. Autom. Control AC, Vol. 1, pp. 799–800, Dec. 1967.
   Web of Science ®Google Scholar
• G. Marchesini, S. Karni, and N. Ahmed, “On obtaining transfer functions from gain-function derivatives,” IEEE Trans. Autom. Control AC, Vol. 12, pp. 229–30, Apr. 1967.
   Web of Science ®Google Scholar
• M. R. Chidambara, “Two simple techniques for the simplification of large dynamic systems,” JACC, Vol. 1, pp. 669–74, Dec. 1969.
   Google Scholar
• Y. Shamash, “Stable reduced-order models using Pade type approximation,” IEEE Trans. Autom. Control, Vol. 19, no. 5, pp. 615–6, Oct. 1974.
   Web of Science ®Google Scholar
• M. Hutton, and B. Friedland, “Routh approximations for reducing order of linear, time-invariant systems,” IEEE Trans. Autom. Control, Vol. 20, no. 3, pp. 329–37, Jun. 1975.
   Web of Science ®Google Scholar
• T. C. Chen, C. Y. Chang, and K. W. Han, “Reduction of transfer functions by the stability equation method,” J. Franklin Inst., Vol. 308, pp. 389–404, Oct. 1979.
   Web of Science ®Google Scholar
• Y. Bistritz, and G. Langholz, “Model reduction by Chebyshev polynomial techniques,” IEEE Trans. autom. Contr. AC Vol. 24, pp. 741–7, Oct. 1979.
   Web of Science ®Google Scholar
• T. N. Lucas, “Factor division: A useful algorithm in model reduction,” IEE Proc. Vol. 130, no. 6, pp. 362–4, November 1983.
   Google Scholar
• R. Prasad, J. Pal, and A. K. Pant, “Multivariable system approximation using polynomial derivatives,” J. Inst. Eng., India IE(I), Vol. 76, pp. 186–8, Nov. 1995.
   Google Scholar
• D. A. Wilson, “Optimal solution of model reduction problem,” Proc. Inst. Electr. Eng., Vol. 117, no. 6, pp. 1161–5, Jun. 1970.
   Web of Science ®Google Scholar
• D. A. Wilson, “Model reduction for multivariable systems,” Int. J. Control, Vol. 20, pp. 57–64, Aug. 1974.
   Web of Science ®Google Scholar
• G. Obinata, and H. Inooka, “Authors reply to comments on model reduction by minimizing the equation error,” IEEE Trans. Autom. Control AC, Vol. 28, pp. 124–5, Jan. 1983.
   Web of Science ®Google Scholar
• E. Eitelberg, “Model reduction by minimizing the weighted equation error,” Int. J. Control, Vol. 34, no. 6, pp. 1113–23, Jul. 1981.
   Web of Science ®Google Scholar
• R. A. El-Attar, and M. Vidyasagar, “Order reduction by L1 and L∞ Norm minimization,” IEEE Trans. Autom. Control AC, Vol. 23, no. 4, pp. 731–4, Aug. 1978.
   Web of Science ®Google Scholar
• D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning. Canada: Addison-We. 1989, p. 1–432.
   Google Scholar
• Kennedy, and R. Eberhart, “Particle swarm optimization,” in IEEE International Conference on Neural Networks, Piscataway, NJ, 1995, pp. 1942–8.
   Google Scholar
• K. S. Lee, and Z. W. Geem, “A new structural optimization method based on the harmony search algorithm,” J. Comput. Struct, Vol. 82, pp.781–98, Apr. 2004.
   Web of Science ®Google Scholar
• O. K. Erol, and I. Eksin, “New optimization method: Big Bang–Big Crunch,” Adv. Eng. Softw, Vol. 37, pp. 106–11, Feb. 2006.
   Web of Science ®Google Scholar
• A. Kaveh, and S. Talatahari, “A particle swarm ant colony optimization for truss structures with discrete variables,” J. Constructional Steel Res, Vol. 65, pp. 1558–68, Sep. 2009.
   Web of Science ®Google Scholar
• A. Kaveh, and S. Talatahari, “Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures,” Comput. Struct, Vol. 87, pp. 267–83, 2009.
   Web of Science ®Google Scholar
• A. Kaveh, and K. Laknejadi, “A hybrid multi-objective particle swarm optimization and decision making procedure for optimal design of truss structures,” Iran. J. Sci. Technol, Vol. 35, no. C2, pp. 137–54, May 2011.
   Web of Science ®Google Scholar
• G. Parmar, S. Mukherjee, and R. Prasad, “Reduced order modeling of linear dynamic systems using particle swarm optimized eigen spectrum analysis,” Int. J. Comput. Math. Sci., Vol. 1, no. 31, pp. 45–52, Jan. 2007.
   Google Scholar
• G. Parmer, R. Prasad, and S. Mukherjee, “Order reduction of linear dynamic systems using stability equation method and GA,” World Acad. Sci. Eng. Technol., Vol. 26, pp. 72–378, Jan. 2007.
   Google Scholar
• D. A. Al-Nadi, O. M. Alsmadi, and Z. S. Abo-Hammour, “Reduced order modeling of linear MIMO systems using particle swarm optimization,” in 7th International Conference Autonomic and Autonomous Systems, Venice, 2011, pp. 62–6.
   Google Scholar
• S. Panda, J.S. Yadav, N.P. Padidar, and C. Ardil, “Evolutionary techniques for model order reduction of large scale linear systems,” Int. J. Appl. Sci. Eng. Technol., Vol. 5, pp. 22–8, Jan. 2009.
   Google Scholar
• G. Parmar, M. K. Pandey, and V. Kumar, “System order reduction using GA for unit impulse input and a comparative study using ISE and IRE,” in 9th International Conference on Advances in Computing, Communications and Control, Mumbai, 2009, pp.1–7.
   Google Scholar
• R. Salim, and M. Bettayeb, “H2 and H∞ optimal reduction using genetic algorithm,” J. Franklin Inst., Vol. 348, pp. 1177–91, Sep. 2011.
   Web of Science ®Google Scholar
• C. B. Vishwakarma, and R. Prasad, “System reduction using modified pole clustering and Pade approximation,” in XXXII National Systems Conference, Roorkee, NSC 2008, Dec. 17–19, 2008, pp. 592–6.
   Google Scholar
• G. Parmar, S. Mukherjee, and R. Prasad, “System reduction using factor division algorithm and eigen spectrum analysis,” Appl Math Model, Vol. 31. pp. 2542–52, Nov. 2007.
   Google Scholar
• S. R. Desai, and R. Prasad, “A novel order diminution of LTI systems using Big Bang Big Crunch optimization and Routh Approximation,” Appl Math Model, Vol. 37, pp. 8016–28, Sep. 2013.
   Google Scholar
• X. S. Yang, and S. Deb, Nature-Inspired Metaheuristic Algorithms. UK: Luniver Press, 2008, pp.1–115.
   Google Scholar
• A. Kaveh. “Optimum design of steel frames using Cuckoo Search algorithm with Lévy flights,” The Struct. Des. Tall Special Buildings, Vol. 22, no. 13, pp. 1023–1036, Sep. 2013.
   Web of Science ®Google Scholar
• X. S. Yang, and S. Deb, “Engineering optimisation by cuckoo search,” Int. J. Math. Mod. Numer. Optim, Vol. 1, pp. 330–343, Oct. 2010.
   Google Scholar
• N. E. Humphries, H. Weimerskirch, N. Queiroz, E. J. Southall, and D. W. Sims, “Foraging success of biological Lévy flights recorded in situ,” Proc. Natl. Acad. Sci, Vol. 109, no. 19, pp. 7169–74, May 2012.
   PubMed Web of Science ®Google Scholar
• C. T. Brown, L. S. Liebovitch, and R. Glendon, “Lévy flights in Dobe Ju/'hoansi foraging patterns,” Human Ecology, Vol. 35, no. 1, pp. 129–38, Feb. 2007.
   Web of Science ®Google Scholar
• G. M. Viswanathan, “Fish in Levy-flight foraging,” Nature, Vol. 465, pp. 1018–9, Jun. 2010.
   PubMed Web of Science ®Google Scholar
• F. Bartumeus, “Levy processes in animal movement: An evolutionary hypothesis,” Fractals, Vol. 15, no. 2, pp. 1–12, Jun. 2007.
   Web of Science ®Google Scholar