- About this Journal ·
- Abstracting and Indexing ·
- Advance Access ·
- 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
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 265473, 9 pages
Nonfragile Robust Finite-Time - Controller Design for a Class of Uncertain Lipschitz Nonlinear Systems with Time-Delays
College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China
Received 21 December 2012; Revised 8 March 2013; Accepted 13 March 2013
Academic Editor: Jein-Shan Chen
Copyright © 2013 Jun Song and Shuping He. 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.
- X. Su, P. Shi, and L. Wu, “A novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 6, pp. 1114–1129, 2012.
- X. Su, P. Shi, L. Wu, and Y. D. Song, “A novel control design on discrete-time Takagi-Sugeno fuzzy systems with time-varying delays,” IEEE Transactions on Fuzzy Systems, 2012.
- F. Li and X. Zhang, “Delay-range-dependent robust filtering for singular LPV systems with time variant delay,” International Journal of Innovative Computing, Information and Control, vol. 9, no. 1, pp. 339–353, 2013.
- S. J. Yoo and J. B. Park, “Decentralized adaptive output-feedback control for a class of nonlinear large-scale systems with unknown time-varying delayed interactions,” Information Sciences, vol. 186, no. 1, pp. 222–238, 2012.
- H. J. Gao and C. H. Wang, “Delay-dependent robust and - filtering for a class of uncertain nonlinear time-delay systems,” IEEE Transactions on Automatic Control, vol. 48, no. 9, pp. 1661–1666, 2003.
- N. Xie and G.-Y. Tang, “Delay-dependent nonfragile guaranteed cost control for nonlinear time-delay systems,” Nonlinear Analysis. Theory, Methods & Applications, vol. 64, no. 9, pp. 2084–2097, 2006.
- P. Dorato, “Short time stability in linear time-varying systems,” in Proceedings of the IRE international Convention Record, pp. 83–87, New York, NY, USA, 1961.
- F. Amato, M. Ariola, and P. Dorato, “Finite-time control of linear systems subject to parametric uncertainties and disturbances,” Automatica, vol. 37, no. 9, pp. 1459–1463, 2001.
- L. Weiss and E. F. Infante, “Finite time stability under perturbing forces and on product spaces,” IEEE Transactions on Automatic Control, vol. 12, pp. 54–59, 1967.
- E. Moulay, M. Dambrine, N. Yeganefar, and W. Perruquetti, “Finite-time stability and stabilization of time-delay systems,” Systems & Control Letters, vol. 57, no. 7, pp. 561–566, 2008.
- F. Amato, R. Ambrosino, M. Ariola, and G. De Tommasi, “Robust finite-time stability of impulsive dynamical linear systems subject to norm-bounded uncertainties,” International Journal of Robust and Nonlinear Control, vol. 21, no. 10, pp. 1080–1092, 2011.
- W. H. Zhang and X. An, “Finite-time control of linear stochastic systems,” International Journal of Innovative Computing, Information and Control, vol. 4, no. 3, pp. 687–694, 2008.
- Q. Meng and Y. Shen, “Finite-time control for linear continuous system with norm-bounded disturbance,” Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 4, pp. 1043–1049, 2009.
- L. Liu, Z. Han, and W. Li, “Non-fragile observer-based passive control for uncertain time delay systems subjected to input nonlinearity,” Nonlinear Analysis. Theory, Methods & Applications, vol. 73, no. 8, pp. 2603–2610, 2010.
- G.-H. Yang and W.-W. Che, “Non-fragile filter design for linear continuous-time systems,” Automatica, vol. 44, no. 11, pp. 2849–2856, 2008.
- J. Ren and Q. Zhang, “Non-fragile PD state control for a class of uncertain descriptor systems,” Applied Mathematics and Computation, vol. 218, no. 17, pp. 8806–8815, 2012.
- J. Zhang, P. Shi, and J. Qiu, “Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems,” Journal of the Franklin Institute, vol. 346, no. 7, pp. 676–690, 2009.
- S. Wo, Y. Zou, Q. Chen, and S. Xu, “Non-fragile controller design for discrete descriptor systems,” Journal of the Franklin Institute, vol. 346, no. 9, pp. 914–922, 2009.
- J. Zhang, P. Shi, and H. Yang, “Non-fragile robust stabilization and control for uncertain stochastic nonlinear time-delay systems,” Chaos, Solitons and Fractals, vol. 42, no. 5, pp. 3187–3196, 2009.
- M. A. Rotea, “The generalized control problem,” Automatica, vol. 29, no. 2, pp. 373–385, 1993.
- A. Chen and J. Wang, “Delay-dependent - control of linear systems with multiple time-varying state and input delays,” Nonlinear Analysis. Real World Applications, vol. 13, no. 1, pp. 486–496, 2012.
- L. Li, Y. Jia, J. Du, and S. Yuan, “Robust - control for uncertain singular systems with time-varying delay,” Progress in Natural Science, vol. 18, no. 8, pp. 1015–1021, 2008.
- L. Wu and Z. Wang, “Robust - control of uncertain differential linear repetitive processes,” Systems & Control Letters, vol. 57, no. 5, pp. 425–435, 2008.
- S. He and F. Liu, “Robust - filtering of time-delay jump systems with respect to the finite-time interval,” Mathematical Problems in Engineering, vol. 2011, Article ID 839648, 17 pages, 2011.
- M. Abbaszadeh and H. J. Marquez, “Dynamical robust filtering for nonlinear uncertain systems: an LMI approach,” Journal of the Franklin Institute, vol. 347, no. 7, pp. 1227–1241, 2010.
- M. V. Thuan, V. N. Phat, and H. M. Trinh, “Dynamic output feedback guaranteed cost control for linear systems with interval time-varying delays in states and outputs,” Applied Mathematics and Computation, vol. 218, no. 21, pp. 10697–10707, 2012.
- Q. Liu, R. Wang, and D. Wu, “Stability analysis for sampled-data systems based on multiple Lyapunov functional method,” International Journal of Innovative Computing, Information and Control, vol. 8, no. 9, pp. 6345–6355, 2012.
- M. Rehan, K.-S. Hong, and S. S. Ge, “Stabilization and tracking control for a class of nonlinear systems,” Nonlinear Analysis. Real World Applications, vol. 12, no. 3, pp. 1786–1796, 2011.