- About this Journal ·
- Abstracting and Indexing ·
- Aims and Scope ·
- Annual Issues ·
- Article Processing Charges ·
- Articles in Press ·
- Author Guidelines ·
- Bibliographic Information ·
- Citations to this Journal ·
- Contact Information ·
- Editorial Board ·
- Editorial Workflow ·
- Free eTOC Alerts ·
- Publication Ethics ·
- Reviewers Acknowledgment ·
- Submit a Manuscript ·
- Subscription Information ·
- Table of Contents
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 357531, 11 pages
Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems
1Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, China
2Department of Fundamental Teaching, Shenyang Institute of Engineering, Shenyang 110136, China
3Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, China
Received 26 December 2012; Revised 28 February 2013; Accepted 14 March 2013
Academic Editor: Hak-Keung Lam
Copyright © 2013 Heli Hu 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.
- V. Kolmanovskii and A. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1999.
- H. R. Karimi, “Robust delay-dependent control of uncertain time-delay systems with mixed neutral, discrete, and distributed time-delays and Markovian switching parameters,” IEEE Transactions on Circuits and Systems. I, vol. 58, no. 8, pp. 1910–1923, 2011.
- J. Yang, W. Luo, G. Li, and S. Zhong, “Reliable guaranteed cost control for uncertain fuzzy neutral systems,” Nonlinear Analysis: Hybrid Systems, vol. 4, no. 4, pp. 644–658, 2010.
- L. Huang and X. Mao, “Delay-dependent exponential stability of neutral stochastic delay systems,” IEEE Transactions on Automatic Control, vol. 54, no. 1, pp. 147–152, 2009.
- W.-H. Chen, W. X. Zheng, and Y. Shen, “Delay-dependent stochastic stability and -control of uncertain neutral stochastic systems with time delay,” IEEE Transactions on Automatic Control, vol. 54, no. 7, pp. 1660–1667, 2009.
- A. Alif, M. Darouach, and M. Boutayeb, “Design of robust reduced-order unknown-input filter for a class of uncertain linear neutral systems,” IEEE Transactions on Automatic Control, vol. 55, no. 1, pp. 6–19, 2010.
- S. Zhou and L. Zhou, “Improved exponential stability criteria and stabilisation of T-S model-based neutral systems,” IET Control Theory & Applications, vol. 4, no. 12, pp. 2993–3002, 2010.
- S. Xu, J. Lam, and C. Yang, “ and positive-real control for linear neutral delay systems,” IEEE Transactions on Automatic Control, vol. 46, no. 8, pp. 1321–1326, 2001.
- Y. Kuang, Delay Differential Equations with Applications in Population Dynamics, vol. 191 of Mathematics in Science and Engineering, Academic Press Inc., Boston, Mass, USA, 1993.
- R. K. Brayton, “Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type,” Quarterly of Applied Mathematics, vol. 24, pp. 215–224, 1966.
- S.-I. Niculescu, Delay Effects on Stability: A Robust Control Approach, vol. 269 of Lecture Notes in Control and Information Sciences, Springer, London, UK, 2001.
- T.-J. Tarn, T. Yang, X. Zeng, and C. Guo, “Periodic output feedback stabilization of neutral systems,” IEEE Transactions on Automatic Control, vol. 41, no. 4, pp. 511–521, 1996.
- G. Chen, Z. Xiang, and M. Mahmoud, “Stability and H-infinity performance analysis of switched stochastic neutral systems,” Circuits, Systems, and Signal Processing, vol. 32, no. 1, pp. 387–400, 2013.
- Z. Xiang, Y.-N. Sun, and Q. Chen, “Robust reliable stabilization of uncertain switched neutral systems with delayed switching,” Applied Mathematics and Computation, vol. 217, no. 23, pp. 9835–9844, 2011.
- Z. Xiang, Y.-N. Sun, and M. S. Mahmoud, “Robust finite-time control for a class of uncertain switched neutral systems,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 4, pp. 1766–1778, 2012.
- Y. Xia, Z. Zhu, and M. Fu, “Back-stepping sliding mode control for missile systems based on an extended state observer,” IET Control Theory & Applications, vol. 5, no. 1, pp. 93–102, 2011.
- M. P. Aghababa, “Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 6, pp. 2670–2681, 2012.
- Y. Xia and Y. Jia, “Robust sliding-mode control for uncertain time-delay systems: an LMI approach,” IEEE Transactions on Automatic Control, vol. 48, no. 6, pp. 1086–1092, 2003.
- Y. Xia, M. Fu, P. Shi, and M. Wang, “Robust sliding mode control for uncertain discrete-time systems with time delay,” IET Control Theory & Applications, vol. 4, no. 4, pp. 613–624, 2010.
- J. Wu, Z. Weng, Z. Tian, and S. Shi, “Fault tolerant control for uncertain time-delay systems based on sliding mode control,” Kybernetika, vol. 44, no. 5, pp. 617–632, 2008.
- M. Liu, P. Shi, L. Zhang, and X. Zhao, “Fault-tolerant control for nonlinear Markovian jump systems via proportional and derivative sliding mode observer technique,” IEEE Transactions on Circuits and Systems. I, vol. 58, no. 11, pp. 2755–2764, 2011.
- X. Qian, X. Zhang, and G. Lu, “Sliding mode control for neutral stochastic systems with time-delay,” in Proceedings of the 30th Chinese Control Conference, pp. 2612–2616, 2011.
- H. H. Choi, “Robust stabilization of uncertain fuzzy-time-delay systems using sliding-mode-control approach,” IEEE Transactions on Fuzzy Systems, vol. 18, no. 5, pp. 979–984, 2010.
- S. Alahakoon, T. Fernando, and N. Nikraz, “Design of sliding mode functional observers for time-delay systems of neutral type,” in Proceedings of the 10th International Conference on Control, Automation, Robotics and Vision (ICARCV '08), pp. 982–987, December 2008.
- Y. Q. Wang, C. S. Jiang, and H. T. Chen, “Robust adaptive sliding mode control for nonlinear uncertain neutral delay system,” Transactions of Nanjing University of Aeronautics and Astronautics, vol. 22, no. 3, pp. 259–263, 2005.
- S. C. Qu, M. Gong, and Y. Wang, “Sliding mode control for uncertain neutral system with time-delays,” Kybernetes, vol. 38, no. 3-4, pp. 448–456, 2009.
- Y. Niu, J. Lam, and X. Wang, “Sliding-mode control for uncertain neutral delay systems,” IEE Proceedings: Control Theory and Applications, vol. 151, no. 1, pp. 38–44, 2004.
- W. Gao, The Theory and Design Method for Variable Structure Control, The Science Press, Beijing, China, 1996.
- C.-H. Lien, “Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input,” Chaos, Solitons and Fractals, vol. 31, no. 4, pp. 889–899, 2007.
- P. Gahinet, A. Nemirovski, A. Laub, et al., LMI Control Toolbox User's Guide, The Math Works Inc., Natick, Mass, USA, 1995.