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Articles

A Novel Order Reduction Approach for LTI Systems Using Cuckoo Search Optimization and Stability Equation

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References

  • P. Feldmann, and R. W. Freund, “Efficient linear circuit analysis by Padé approximation via the Lanczos process,” IEEE Trans. Comput. Aid. Des. Integr. Circuits Syst., Vol. 14, pp. 639–49, May 1995.
  • M. Katebi, and M. Johnson, “Predictive control design for large-scale systems,” Automatica, Vol. 33, pp. 421–5, 1997.
  • M. S. Mahmoud, and M. G. Singh, Large Scale Systems Modelling. Oxford: Pergamon Press, 1981.
  • S. Mukherjee, and R. Mishra, “Order reduction of linear systems using an error minimization technique,” J. Franklin Inst., Vol. 323, pp. 23–32, 1987.
  • 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.
  • V. Krishnamurthy, and V. Seshadri, “Model reduction using the Routh stability criterion,” IEEE Trans. Automat. Control, Vol. 23, pp. 729–31, Aug. 1978.
  • J. Pal, “Improved Pade approximants using stability equation method,” Electron. Lett., Vol. 19, pp. 426–7, May 1983.
  • R. Prasad, and J. Pal, “Stable reduction of linear systems by continued fractions,” J. Inst. Eng. India Part E Electric. Eng. Div., Vol. 72, pp. 113–6, 1991.
  • T. Chen, C. Chang, and K. Han, “Stable reduced-order Padé approximants using stability-equation method,” Electron. Lett., Vol. 16, pp. 345–6, Apr. 1980.
  • E. J. Davison, “A method for simplifying linear dynamic systems,” IEEE Trans. Automat. Control, Vol. 11, pp. 93–101, Jan. 1966.
  • L. Shieh, and Y. Wei, “A mixed method for multivariable system reduction,” IEEE Trans. Automat. Control, Vol. 20, pp. 429–32, Jun. 1975.
  • P. O. Gutman, C. Mannerfelt, and P. Molander, “Contributions to the model reduction problem,” IEEE Trans. Automat. Control, Vol. 27, pp. 454–5, Apr. 1982.
  • T. F. Gonzalez, Handbook of Approximation Algorithms and Metaheuristics. Boca Raton, FL: CRC Press, 2007.
  • S. Panda, J. Yadav, N. Patidar, 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.
  • S. Sivanandam, and S. Deepa, “A comparative study using genetic algorithm and particle swarm optimization for lower order system modelling,” Int. J. Comput. Internet Manag., Vol. 17, pp. 1–10, Dec. 2009.
  • S. Panda, S. Tomar, R. Prasad, and C. Ardil, “Model reduction of linear systems by conventional and evolutionary techniques,” Int. J. Comput. Math. Sci., Vol. 3, pp. 28–34, 2009.
  • B. Philip, and J. Pal, “An evolutionary computation based approach for reduced order modelling of linear systems,” 2010 IEEE International Conference on Computational Intelligence and Computing Research (ICCIC), Coimbatore, Dec. 2010, pp. 1–8.
  • S. Giriraj Kumar, R. Sivasankar, T. Radhakrishnan, V. Dharmalingam, and N. Anantharaman, “Particle swarm optimization technique based design of Pi controller for a real-time non-linear process,” Instrum. Sci. Technol., Vol. 36, pp. 525–42, Jul. 2008.
  • R. Hemmati, S. M. Shirvani Boroujeni, H. Delafkar, and A. S. Boroujeni, “PID controller adjustment using PSO for multi area load frequency control,” Aust. J Basic Appl. Sci, Vol. 5, pp. 295–9, 2011.
  • X.-S. Yang, and S. Deb, “Cuckoo search via Lévy flights,” IEEE World Congress on Nature & Biologically Inspired Computing, 2009. NaBIC 2009, Coimbatore, Dec. 2009, pp. 210–4.
  • X.-S. Yang, and S. Deb, “Engineering optimisation by cuckoo search,” Int. J Math. Model. Numer. Optim, Vol. 1, pp. 330–43, 2010.
  • E. R. Speed, “Evolving a Mario agent using cuckoo search and softmax heuristics,” Games Innovations Conference (ICE-GIC), 2010 International IEEE Consumer Electronics Society's, IEEE, Dec. 2010, pp. 1–7.
  • S. Walton, O. Hassan, and K. Morgan, “Selected engineering applications of gradient free optimisation using cuckoo search and proper orthogonal decomposition,” Arch. Comput. Methods Eng., Vol. 20, pp. 123–54, Jun. 2013.
  • E. Valian, S. Mohanna, and S. Tavakoli, “Improved cuckoo search algorithm for feedforward neural network training,” Int. J. Artif. Intell. Appl., Vol. 2, pp. 36–43, Jul. 2011.
  • A. Ouaarab, B. Ahiod, and X.-S. Yang, “Discrete cuckoo search algorithm for the travelling salesman problem,” Neural Comput. Appl., Vol. 24, pp. 1659–69, Jun. 2014.
  • M. Dhivya, and M. Sundarambal, “Cuckoo search for data gathering in wireless sensor networks,” Int. J. Mobile Commun., Vol. 9, pp. 642–56, 2011.
  • M. Dhivya, M. Sundarambal, and L. N. Anand, “Energy efficient computation of data fusion in wireless sensor networks using cuckoo based particle approach (CBPA),” Int. J. Commun. Netw. Syst. Sci., Vol. 4, p. 249, Apr. 2011.
  • A. Noghrehabadi, M. Ghalambaz, and A. Vosough, “A hybrid power series – cuckoo search optimization algorithm to electrostatic deflection of micro fixed-fixed actuators,” Int. J. Multidiscipl. Sci. Eng., Vol. 2, pp. 22–6, Jul. 2011.
  • A. Kumar, and S. Chakarverty, “Design optimization for reliable embedded system using Cuckoo search,” 2011 IEEE 3rd International Conference on Electronics Computer Technology (ICECT), Kanyakumari, Apr. 2011, pp. 264–8.
  • A. Kumar, and S. Chakarverty, “Design optimization using genetic algorithm and cuckoo search,” 2011 IEEE International Conference on Electro/Information Technology (EIT), Mankato, MN, May 2011, pp. 1–5.
  • T. Chen, C. Chang, and K. Han, “Reduction of transfer functions by the stability-equation method,” J. Franklin Inst., Vol. 308, pp. 389–404, Oct. 1979.
  • G. Parmar, and R. Prasad, “Reduced order modelling of linear dynamic systems using particle swarm optimized eigen spectrum analysis,” Int. J. Electr. Robot. Electron. Commun. Eng., Vol. 1, pp. 73–80, 2007.
  • S. 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, Mar. 2013.
  • R. Prasad, J. Pal, and A. K. Pant, “Multivariable system approximation using polynomial derivatives,” J. Inst. Eng. India Part E Electric. Eng. Div., Vol. 76, pp. 186–8, 1995.
  • R. Prasad, and J. Pal, “Use of continued fraction expansion for stable reduction of linear multivariable systems,” J. Inst. Eng. India Part E Electric. Eng. Div., Vol. 72, pp. 43–7, 1991.

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