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Design of Robust Optimal Fixed Structure Controller Using Self Adaptive Differential Evolution

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Swarm, Evolutionary, and Memetic Computing (SEMCCO 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6466))

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Abstract

This paper presents a design of robust optimal fixed structure controller for systems with uncertainties and disturbance using Self Adaptive Differential Evolution (SaDE) algorithm. PID controller and second order polynomial structure are considered for fixed structure controller. The design problem is formulated as minimization of maximum value of real part of the poles subject to the robust stability criteria and load disturbance attenuation criteria. The performance of the proposed method is demonstrated with a test system. SaDE self adapts the trial vector generation strategy and crossover rate (CR) value during evolution. Self adaptive Penalty (SP) method is used for constraint handling. The results are compared with constrained PSO and mixed Deterministic/Randomized algorithms. It is shown experimentally that the SaDE adapts automatically to the best strategy and CR value. Performance of the SaDE-based controller is superior to other methods in terms of success rate, robust stability, and disturbance attenuation.

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References

  1. Doyle, J., Francis, B., Tennenbaum, A.: Feedback Control Theory. Macmillan Publishing co., Basingstoke (1990)

    Google Scholar 

  2. Ho, S.-J., Ho, S.-Y., Hung, M.-H., Shu, L.-S., Huang, H.-L.: Designing Structure-Specified Mixed H2/H∞ Optimal Controllers Using an Intelligent Genetic Algorithm IGA. IEEE Trans. Contr. Syst. Technol. 13(6), 1119–1124 (2005)

    Article  Google Scholar 

  3. Astrom, K.J., Augglund, T.: PID Control-Theory, Design and Tuning, 2nd edn. Instrument Society of America, Research Triangle Park (1995)

    Google Scholar 

  4. Ho, M., Lin, C.: PID controller design for robust performance. IEEE Transactions on Automatic Control 48(8), 1404–1409 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  5. Apkarian, P., Noll, D., Tuan, H.D.: Fixed-order H ∞  control design via a partially augmented Lagrangian method. International Journal of Robust and Nonlinear control 13(12), 1137–1148 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Saeki, M.: Fixed structure PID controller design for standard H ∞  control problem. Automatica 42(1), 93–100 (2006a)

    Article  MathSciNet  MATH  Google Scholar 

  7. Calafiore, G., Dabbene, F., Tempo, R.: Randomized algorithms for reduced order H ∞  controller design. In: Proceedings of the American Control Conference, pp. 3837–3839 (2000)

    Google Scholar 

  8. Fujisaki, Y., Oishi, Y., Tempo, R.: Mixed deterministic/randomized methods for fixed order controller design. IEEE Transactions on Automatic Control 53(9), 2033–2047 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  9. Maruta, I., Kim, T.H., Sugie, T.: Fixed-structure H ∞  controller synthesis: A meta-heuristic approach using simple constrained particle swarm optimization. Automatica 45(2), 553–559 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Storn, R., Price, K.V.: Differential evolution-A simple and efficient heuristic for global optimization over continuous Spaces. J. Global Optim. 11, 341–359 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  11. Qin, A.K., Huang, V.L., Suganthan, P.N.: Differential Evolution Algorithm With strategy Adaptation for Global Numerical Optimization. IEEE Trans. on Evolutionary Computation 13(2) (2009)

    Google Scholar 

  12. Tessema, B., Yen, G.G.: A self adaptive penalty function based algorithm for constrained optimization. In: IEEE Congress on Evolutionary Computation, pp. 246–253 (2006)

    Google Scholar 

  13. Das, S., Abraham, A., Chakraborty, U.K., Konar, A.: Differential evolution using a neighborhood based mutation operator. IEEE Transactions on Evolutionary Computation 13(3), 526–553 (2009)

    Article  Google Scholar 

  14. Das, S., Suganthan, P.N.: Differential evolution – a survey of the state-of-the-art. IEEE Transactions on Evolutionary Computation, doi:10.1109/TEVC.2010.2059031

    Google Scholar 

  15. Mallipeddi, R., Suganthan, P.N., Pan, Q.K., Tasgetiren, M.F.: Differential evolution algorithm with ensemble of parameters and mutation strategies. Applied Soft Computing (in press), doi:DOI:10.1016/j.asoc.2010.04.024

    Google Scholar 

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Joe Amali, S.M., Baskar, S. (2010). Design of Robust Optimal Fixed Structure Controller Using Self Adaptive Differential Evolution. In: Panigrahi, B.K., Das, S., Suganthan, P.N., Dash, S.S. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2010. Lecture Notes in Computer Science, vol 6466. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17563-3_10

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  • DOI: https://doi.org/10.1007/978-3-642-17563-3_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17562-6

  • Online ISBN: 978-3-642-17563-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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