147
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Sum-of-squares-based fuzzy controller design using quantum-inspired evolutionary algorithm

, &
Pages 2225-2236 | Received 27 Mar 2014, Accepted 29 Oct 2014, Published online: 25 Nov 2014

References

  • Chen, J.C. (2011). Application of quantum-inspired evolutionary algorithm to reduce PAPR of an OFDM signal using partial transmit sequences technique. IEEE Transactions on Broadcasting, 56, 110–113.
  • Chung, C.Y., Yu, H., & Wong, K.P. (2011). An advanced quantum-inspired evolutionary algorithm for unit commitment. IEEE Transactions on Power Systems, 26, 847–854.
  • Feng, G., Chen, C.L., Sun, D., & Zhu, Y. (2005). H∞ controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities. IEEE Transactions on Fuzzy Systems, 13, 94–103.
  • Han, K.H., & Kim, J.H. (2002). Quantum-inspired evolutionary algorithm for a class of combinatorial optimization. IEEE Transactions on Evolutionary Computation, 6, 580–593.
  • Han, K.H., & Kim, J.H. (2004). Quantum-inspired evolutionary algorithms with a new termination criterion, Hϵ gate, and two-phase scheme. IEEE Transactions on Evolutionary Computation, 8, 156–169.
  • Ho, S.L., Yang, S., Ni, P., & Huang, J. (2013). A quantum-inspired evolutionary algorithm for multi-objective design. IEEE Transactions on Magnetics, 49, 1609–1612.
  • Lam, H.K., & Narimani, M. (2009). Sum-of-squares-based stability analysis of polynomial fuzzy-model-based control systems. In Proceedings of IEEE International Conference on Fuzzy Systems (pp. 234–239). Jeju Island: IEEE.
  • Lam, H.K., & Seneviratne, L.D. (2011). Stability analysis of polynomial fuzzy-model-based control systems under perfect/imperfect premise matching. IET Control Theory & Applications, 5, 1689–1697.
  • Lau, T.W., Chung, C.Y., Wong, K.P., Chung, T.S., & Ho, S.L. (2009). Quantum-inspired evolutionary algorithm approach for unit commitment. IEEE Transactions on Power System, 24, 1503–1512.
  • Li, S.T.H., & Tsai, S.H. (2007). T-S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems. IEEE Transactions on Fuzzy Systems, 15, 494–506.
  • Li, W.H., & Wang, W.Q. (2012). Guaranteed cost control for polynomial discrete fuzzy time delay systems by sum-of-squares approach. In Proceedings of IEEE International Conference on Information and Computing Science (pp. 178–181). Liverpool: IEEE.
  • Narimani, M., & Lam, H.K. (2009). Relaxed LMI-based stability conditions for Takagi–Sugeno fuzzy control systems using regional-membership-function-shape-dependent analysis approach. IEEE Transactions on Fuzzy Systems, 17, 1221–1228.
  • Platel, M.D., Schliebs, S., & Kasabov, N. (2009). Quantum-inspired evolutionary algorithm: A multimodel EDA. IEEE Transactions on Evolutionary Computation, 13, 1218–1232.
  • Prajna, S., Papachristodoulou, A., Seiler, P., & Parrilo, P.A. (2004). SOSTOOLS: Sum of squares optimization toolbox for MATLAB (Version 2.00). Pasadena: California Institute of Technology.
  • Tanaka, K., Ohtake, H., Seo, T., Tanaka, M., and Wang, H.O. (2009). Polynomial fuzzy observer designs: A sum-of-squares approach. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 42, 1330–1342.
  • Tanaka, K., Ohtake, H., & Wang, H.O. (2009). Guaranteed cost control of polynomial fuzzy systems via a sum of squares approach. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 39, 561–567.
  • Tanaka, K., & Wang, H.O. (2001). Fuzzy control systems design and analysis: A linear matrix inequality approach. New York, NY: Wiley.
  • Tanaka, K., Yoshida, H., Ohtake, H., & Wang, H.O. (2009). A sum-of-squares approach to modelling and control of nonlinear dynamical systems with polynomial fuzzy systems. IEEE Transactions on Fuzzy Systems, 17, 911–922.
  • Vlachogiannis, J.G., & Lee, K.Y. (2008). Quantum-inspired evolutionary algorithm for real and reactive power dispatch. IEEE Transactions on Power Systems, 23, 1627–1636.
  • Wang, W.J., Chen, Y.J., & Sun, C.H. (2007). Relaxed stabilization criteria for discrete-time T–S fuzzy control systems based on a switching fuzzy model and piecewise Lyapunov function. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 37, 551–559.
  • Wang, W.J., & Lin, W.W. (2005). Decentralized PDC for large-scale T–S fuzzy systems. IEEE Transactions on Fuzzy Systems, 13, 779–786.
  • Zhang, H., & Xie, X. (2011). Relaxed stability conditions for continuous-time T-S fuzzy-control systems via augmented multi-indexed matrix approach. IEEE Transactions on Fuzzy Systems, 19, 478–492.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.