Parallel Particle Swarm Optimization Optimized LDI Controller with Lyapunov Stability Criterion for Nonlinear Structural Systems
In this paper, we present a neural-network (NN) based approach to represent a nonlinear Tagagi-Sugeno (T-S) system. A linear differential inclusion (LDI) state-space representation is utilized to deal with the NN models. Taking advantage of the LDI representation, the stability conditions and controller design are derived for a class of nonlinear structural systems. Moreover, the concept of utilizing the Parallel Particle Swarm Optimization (PPSO) algorithm to solve the common P matrix under the stability criteria is given in this paper.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1094094Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1533
 T. Takagi, and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control,” IEEE Trans. on Systems, Man and Cybernetics, vol. 15, no. 1, pp. 116-132, Feb. 1985.
 F.H.Hsiao, C.W.Chen, Y.W. Liang, S.D. Xu, and W.L. Chiang, "T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays,” IEEE Trans. Circuits & Systems- I:Regular Papers vol. 52, no. 9, pp. 1883- 1893, Sep. 2005.
 F.H.Hsiao, C.W.Chen, Y.H. Wu, W.L. Chiang, "Fuzzy controllers for nonlinear interconnected TMD systems with external force,”Journal of The Chinese Institute of Engineers, vol. 28, pp. 175-181, 2005.
 F.H.Hsiao, W.L. Chiang, C.W.Chen, "Fuzzy Control for Nonlinear Systems via Neural-Network-Based Approach,” International Journal for Computational Methods in Engineering Science and Mechanics, vol. 6, pp. 145- 152, 2005.
 F.H.Hsiao, W.L. Chiang, C.W.Chen, S.D. Xu, and S.L. Wu, "Application and robustness design of fuzzy controller for resonant and chaotic systems with external disturbance,”Int. J. Uncertainty, Fuzziness and Knowledge-Based System, vol. 13, pp. 281-295, 2005.
 F.H.Hsiao, J.D. Hwang, C.W.Chen, Z.R. Tsai, "Robust Stabilization of Nonlinear Multiple Time-Delay Large-scale Systems via Decentralized Fuzzy Control,” IEEE Trans. Fuzzy Systems, vol. 13, pp. 152- 163, 2005.
 F.H.Hsiao, J. D.Hwang, C. W.Chen, and Z. R.Tsai, "Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control,” IEEE Transactions on Fuzzy Systems, vol. 13, pp. 152- 163, 2005.
 S.-C. Chu, and P.-W. Tsai, "Computational Intelligence Based on the Behavior of Cats,” International Journal of Innovative Computing, Information and Control, vol. 3, no. 1, 2007, pp. 163-173.
 S.-C.Chu, P.-W.Tsai, and J.-S.Pan, "Cat Swarm Optimization,” in Proc. 9th Pacific Rim International Conference on Artificial Intelligence, LNAI 4099, 2006, pp. 854-858.
 J.-S. Pan, P.-W. Tsai, and B.-Y. Liao, "Fish Migration Optimization Based on the Fishy Biology,”inProc. of 2010 4th International Conference on Genetic and Evolutionary Computing, 2010, pp. 783-786.
 P.-W. Tsai,J.-S. Pan, B.-Y. Liao, M.-J. Tsai, and V. Istanda, "Bat Algorithm Inspired Algorithm for Solving Numerical Optimization Problems,” Applied Mechanics and Materials, vol. 148-149, 2012, pp. 134-137.
 T.-C. Chen, P.-W. Tsai, S.-C. Chu, and J.-S. Pan, "A Novel Optimization Approach: Bacterial-GA Foraging,” in Proc. 2nd International Conf. on Innovative Computing, Information and Control (ICICIC-2007), Japan.
 C.W. Chen, W.L. Chiang, and F.H. Hsiao, "Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems,” Mathematics and Computers in Simulation, vol. 66, 2004, pp. 523-537.
 C.W. Chen, W.L. Chiang, and C.H. Tsai et al., "Fuzzy Lyapunov method for stability conditions of nonlinear systems,” International Journal on Artificial Intelligence Tools, vol. 15, 2006, pp. 163-171.
 D. Dubois and H. Prade, "Fuzzy Sets and Systems: Theory and Applications,” Academic Press, New York 1980.
 W. I. Lee, C. W. Chen, C. Y. Chen, and Y. C. Sui, "Application of half-circle fuzzy numbers and development of triangular fuzzy numbers to fuzzy control,” in Proc. 10th WSEAS International Conf. on Applied Computer Sciences (ACS’10), Japan, 2010, pp. 335-340.
 J.M. Mendel, "Fuzzy logic systems for engineering: A tutorial,”in Proc. of the IEEE, 83 March 1995.
 J. J. Buckley, "Fuzzy Hierarchical Analysis,”Fuzzy Sets and System, vol. 17, 1985, pp. 233-247.
 C.W. Chen, C.L. Lin, C.H. Tsai, C.Y. Chen, and K. Yeh, "A novel delay-dependent criteria for time-delay T-S fuzzy systems using fuzzy Lyapunov method,” International Journal on Artificial Intelligence Tools, vol. 16, 2007, pp. 545-552.
 H. J. Zimmermann., Fuzzy Set Theory and Its Applications, (1991) Kluwer, Dordrecht.
 S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, "Linear Matrix Inequalities in System and Control Theory,” Studies in Applied Mathematics (SIAM), Philadelphia, PA, 1994.
 K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems,” Fuzzy Sets and Systems, vol. 45, no. 2, 1992, pp. 135-156.
 X.L. Luan, F. Liu, P. Shi,"Robust Finite-Time H (a) Control for Nonlinear Jump Systems via Neural Networks,” Circuits Systems and Signal Processing, vol. 29, pp. 481-498, 2010.
 J.-F. Chang, S.-C. Chu, J. F. Roddick, and J.-S. Pan, "A Parallel Particle Swarm Optimization Algorithm with Communication Strategies,” Journal of Information Sciences and Engineering, vol. 21, pp. 809-818, 2005.
 D. Abramson, and J. Abela, "A Parallel Genetic Algorithm for Solving the School Timetabling Problem,” Technical Report, Division of Information Technology, CSIRO, 1991.
 C.-H. Fang, Y.-S. Liu, S.-W. Kau, L. Hong, and C.-H. Lee, "A New LMI-Based Approach to Relaxed Quadratic Stabilization of T-S Fuzzy Control Systems,” IEEE Tran. on Fuzzy Systems, vol. 14, no. 3, pp. 386-397, June 2006.
 W.-J. Sun, "A Global Asymptotic Synchronization Problem via Internal Model Approach,” International Journal of Control Automation and Systems, vol. 8, pp. 1153-1158, 2010.