Table of Contents Author Guidelines Submit a Manuscript
Complexity
Volume 2017 (2017), Article ID 2513815, 7 pages
https://doi.org/10.1155/2017/2513815
Research Article

RBF Nonsmooth Control Method for Vibration of Building Structure with Actuator Failure

1School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
2Engineering Earthquake Resistance Center, Guangzhou University, Guangzhou 51045, China
3Guangzhou Real Estate Management Vocational School, Guangzhou 510320, China

Correspondence should be addressed to Chunliang Zhang; moc.361@lczhn

Received 13 July 2017; Accepted 30 October 2017; Published 20 December 2017

Academic Editor: Junpei Zhong

Copyright © 2017 Jianhui Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. F. Zhou, Seismic control in engineering structures, Seismological Press, Beijing, China, 1997.
  2. K. Zhou, T. Wang, and J. Song, An Introduction to Signal Detection and Estimation, Chapter 4, Springer-Verlag, New York, NY, USA, 1985.
  3. J. Ou, Structural vibration control-active, semi- active and intelligent control, Science Press, Beijing, China, 2003.
  4. J. Wang, W. Yang, and Y. Qian, “Design of controller for torsion vibration device based on pole assignment method,” Experimental Technology and Management, vol. 31, no. 7, pp. 86–89, 2014. View at Google Scholar
  5. S. Tong and H. Tang, “Iterative learning instantaneous optimal control of discrete systems optimization of actuator positions,” Applied Mathematics and Mechanics, vol. 37, no. 2, pp. 160–172, 2016. View at Google Scholar
  6. G. Tao, S. M. Joshi, and X. Ma, “Adaptive state feedback and tracking control of systems with actuator failures,” Institute of Electrical and Electronics Engineers Transactions on Automatic Control, vol. 46, no. 1, pp. 78–95, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. X. Tang, G. Tao, and S. M. Joshi, “Adaptive output feedback actuator failure compensation for a class of non-linear systems,” International Journal of Adaptive Control and Signal Processing, vol. 19, no. 6, pp. 419–444, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. W. Gao, Foundation of variable structure control theory, China Science and Technology Press, Beijing, China, 1990.
  9. L. Rosier, “Homogeneous Lyapunov function for homogeneous continuous vector fields,” Systems and Control Letters, vol. 19, no. 6, pp. 467–473, 1992. View at Publisher · View at Google Scholar · View at MathSciNet
  10. S. P. Bhat and D. S. Bernstein, “Finite-time stability of homogeneous systems,” in Proceedings of the American Control Conference, pp. 2513-2514, Albuquerque, NM, USA, June 1997. View at Scopus
  11. H. Hermes, “Homogeneous coordinates and continuous asymptotically stabilizing feedback controls,” in Journal of Differential Equations, vol. 127 of Lecture Notes in Pure and Appl. Math., pp. 249–260, Dekker, New York, NY, USA, 1991. View at Google Scholar · View at MathSciNet
  12. K.-M. Ma, “Design of continuous non-smooth attitude control laws for spacecraft,” The Journal of the Astronautical Sciences, vol. 33, no. 6, pp. 713–719, 2012. View at Publisher · View at Google Scholar · View at Scopus
  13. J. Wang, Q. Wang, and L. Zhang, “Design of Non-smooth Synchronous Control Method for Stage Lifting Machinery,” in Proceedings of the 3rd International Conference on Information Science and Control Engineering (ICISCE '16), pp. 943–947, China, July 2016. View at Publisher · View at Google Scholar · View at Scopus
  14. K.-M. Ma, “Non-smooth design and implementation of high-precision guidance laws,” Journal of Ballistics, vol. 25, no. 2, pp. 1–5, 2013. View at Google Scholar · View at Scopus
  15. J. Wang, Q. Wang, and K. Ma, “Non-smooth controller design for permanent magnet synchronous motors,” Computer Simulation, vol. 33, no. 3, pp. 227–230, 2016. View at Google Scholar
  16. C. Yang, X. Wang, L. Cheng, and H. Ma, “Neural-learning-based telerobot control with guaranteed performance,” IEEE Transactions on Cybernetics, Article ID 2573837, pp. 1–12, 2016. View at Publisher · View at Google Scholar · View at Scopus
  17. C. Yang, Z. Li, and J. Li, “Trajectory planning and optimized adaptive control for a class of wheeled inverted pendulum vehicle models,” IEEE Transactions on Cybernetics, vol. 43, no. 1, pp. 24–36, 2013. View at Publisher · View at Google Scholar · View at Scopus
  18. H. Xiao, Z. Li, C. Yang et al., “Robust stabilization of a wheeled mobile robot using model predictive control based on neurodynamics optimization,” IEEE Transactions on Industrial Electronics, vol. 64, no. 1, pp. 505–516, 2017. View at Publisher · View at Google Scholar
  19. C. Yang, X. Wang, and Z. Li, “Teleoperation control based on combination of wave variable and neural networks,” Transactions on Systems Man and Cybernetics Systems, vol. 99, pp. 1–12, 2017. View at Google Scholar
  20. C. Yang, J. Luo, and Y. Pan, “Personalized variable gain control with tremor attenuation for robot teleoperation,” IEEE Transactions on Systems Man and Cybernetics Systems, pp. 1–12, 2017. View at Google Scholar
  21. Z. Zhao, X. Wang, C. Zhang, Z. Liu, and J. Yang, “Neural network based boundary control of a vibrating string system with input deadzone,” Neurocomputing, 2017. View at Publisher · View at Google Scholar
  22. F. Wang, B. Chen, C. Lin et al., “Adaptive neural network finite-time output feedback control of quantized nonlinear systems,” IEEE Transactions on Cybernetics, 2017. View at Publisher · View at Google Scholar
  23. J. H. Wang, Z. Liu, C. Chen, and Y. Zhang, “Fuzzy adaptive compensation control of uncertain stochastic nonlinear systems with actuator failures and input hysteresis,” IEEE Transactions on Cybernetics, 2017. View at Publisher · View at Google Scholar
  24. H. Cheng and T. Zhang, “A new predator-prey model with a profitless delay of digestion and impulsive perturbation on the prey,” Applied Mathematics and Computation, vol. 217, no. 22, pp. 9198–9208, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. X. Dong, Z. Bai, and S. Zhang, “Positive solutions to boundary value problems of p-Laplacian with fractional derivative,” Boundary Value Problems, 2017. View at Publisher · View at Google Scholar
  26. Z. Bai, S. Zhang, S. Sun, and C. Yin, “Monotone iterative method for fractional differential equations,” Electronic Journal of Differential Equations, vol. 2016, article 6, 2016. View at Google Scholar · View at Scopus
  27. K.-M. Ma, “Design of non-smooth guidance law with terminal line-of-sight constraint,” Journal of Ballistics, vol. 23, no. 2, pp. 14–18, 2011. View at Google Scholar · View at Scopus