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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 737495, 9 pages
General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach
1Department of Automation, University of Science and Technology of China, Hefei 230027, China
2Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway
3College of Engineering, University of North Carolina Charlotte, Charlotte, NC 28223, USA
4Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon Tong 999077, Hong Kong
Received 3 November 2013; Accepted 4 January 2014; Published 20 February 2014
Academic Editor: Peng Shi
Copyright © 2014 Yiheng Wei 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.
- C. A. Monje, Y. Q. Chen, B. M. Vinagre, D. Xue, and V. Feliu, Fractional-Order Systems and Controls: Fundamentals and Applications, Springer, London, UK, 2010.
- S. Das, Functional Fractional Calculus, Springer, Berlin, Germany, 2011.
- Z. Liao, Z. T. Zhu, S. Liang, C. Peng, and Y. Wang, “Subspace identification for fractional order hammerstein systems based on instrumental variables,” International Journal of Control, Automation and Systems, vol. 10, no. 5, pp. 947–953, 2012.
- A. M. Lopes and J. A. T. Machado, “Root locus practical sketching rules for fractional-order systems,” Abstract and Applied Analysis, vol. 2013, Article ID 102068, 14 pages, 2013.
- M. D. Li, D. H. Li, J. Wang, and C. Zhao, “Active disturbance rejection control for fractional-order system,” ISA Transactions, vol. 52, no. 3, pp. 365–374, 2013.
- S. Liang, C. Peng, Z. Liao, and Y. Wang, “State space approximation for general fractional order dynamic systems,” International Journal of System Science, 2013.
- Z. Liao, C. Peng, W. Li, and Y. Wang, “Robust stability analysis for a class of fractional order systems with uncertain parameters,” Journal of the Franklin Institute, vol. 348, no. 6, pp. 1101–1113, 2011.
- N. I. Mahmudov, R. Sakthivel, and P. Revathi, “Asymptotic stability of fractional stochastic neutral differential equations with infinite delays,” Abstract and Applied Analysis, vol. 2013, Article ID 769257, 9 pages, 2013.
- S. Liang, C. Peng, and Y. Wang, “Improved linear matrix inequalities stability criteria for fractional order systems and robust stabilization synthesis: the case,” Control Theory & Applications, vol. 30, no. 4, pp. 531–535, 2013.
- I. N'Doye, M. Darouach, M. Zasadzinski, and N.-E. Radhy, “Robust stabilization of uncertain descriptor fractional-order systems,” Automatica, vol. 49, no. 6, pp. 1907–1913, 2013.
- J. Yuan, B. Shi, and W. Q. Ji, “Adaptive sliding mode control of a novel class of fractional chaotic systems,” Advances in Mathematical Physics, vol. 2013, Article ID 576709, 13 pages, 2013.
- C. L. Li, K. L. Su, J. Zhang, et al., “Robust control for fractional-order four-wing hyperchaotic system using LMI,” Optik International Journal for Light and Electron Optics, vol. 124, no. 22, pp. 5807–5810, 2013.
- M. M. Asheghan, S. S. Delshad, M. T. H. Beheshti, and M. S. Tavazoei, “Non-fragile control and synchronization of a new fractional order chaotic system,” Applied Mathematics and Computation, vol. 222, no. 1, pp. 712–721, 2013.
- S. C. Tong, Y. M. Li, and P. Shi, “Observer-based adaptive fuzzy backstepping output feedback control of uncertain MIMO pure-feedback nonlinear systems,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 4, pp. 771–785, 2013.
- S. B. Attia, S. Salhi, and M. Ksouri, “Static switched output feedback stabilization for linear discrete-time switched systems,” International Journal of Innovative Computing, Information and Control, vol. 8, no. 5, pp. 3203–3213, 2012.
- J. Wu, H. R. Karimi, and P. Shi, “Network-based output feedback control for uncertain stochastic systems,” Information Sciences, vol. 232, pp. 397–410, 2013.
- L. G. Wu, W. X. Zheng, and H. J. Gao, “Dissipativity-based sliding mode control of switched stochastic systems,” IEEE Transactions on Automatic Control, vol. 58, no. 3, pp. 785–791, 2013.
- 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, vol. 21, no. 4, pp. 655–671, 2013.
- Y. He and Q. G. Wang, “An improved ILMI method for static output feedback control with application to multivariable PID control,” IEEE Transactions on Automatic Control, vol. 51, no. 10, pp. 1678–1683, 2006.
- R. N. Yang, G. P. Liu, P. Shi, and C. Thomas, “Predictive output feedback control for networked control systems,” IEEE Transactions on Industrial Electronics, vol. 61, no. 1, pp. 512–520, 2014.
- J. X. Dong and G. H. Yang, “Static output feedback control synthesis for linear systems with time-invariant parametric uncertainties,” IEEE Transactions on Automatic Control, vol. 52, no. 10, pp. 1930–1936, 2007.
- J. B. Qiu, G. Feng, and H. J. Gao, “Observer-based piecewise affine output feedback controller synthesis of continuous-time TS fuzzy affine dynamic systems using quantized measurements,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 6, pp. 1046–1062, 2012.
- M. Chadli and T. M. Guerra, “LMI solution for robust static output feedback control of Takagi-Sugeno fuzzy models,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 6, pp. 1060–1065, 2012.
- D. M. Zhang, X. G. Wang, and L. Meng, “Consensus problems for high-order LTI systems: a decentralized static output feedback method,” International Journal of Innovative Computing, Information and Control, vol. 9, no. 5, pp. 2143–2154, 2013.
- S. M. Saadni, M. Chaabane, and D. Mehdi, “Robust stability and stabilization of a class of singular systems with multiple time-varying delays,” Asian Journal of Control, vol. 8, no. 1, pp. 1–11, 2006.
- L. G. Wu, X. J. Su, and P. Shi, “Output feedback control of Markovian jump repeated scalar nonlinear systems,” IEEE Transactions on Automatic Control, vol. 59, no. 1, pp. 199–204, 2013.
- Y. Fang and W. Jiang, “Output feedback stabilization for a type of fractional-order systems with delay,” Information and Control, vol. 42, no. 1, pp. 33–38, 2013.
- I. N'Doye, H. Voos, M. Darouach, et al., “ static output feedback control for a fractional-order glucose-insulin system,” Fractional Differentiation and Its Applications, vol. 6, no. 1, pp. 266–271, 2013.
- Y. Wang, Y. H. Wei, M. Zhu, and P. Cheng, “A novel LMI approach for robust stabilization of uncertain fractional order systems,” in Proceedings of the 32nd Chinese Control Conference (CCC '13), pp. 1475–1479, Xi'an, China, July 2013.
- Z. Q. Lou, “Static output feedback robust stability control for fractional linear systems,” Microcomputer Applications, vol. 26, no. 8, pp. 11–14, 2010.
- P. Gahinet and P. Apkarian, “A linear matrix inequality approach to control,” International Journal of Robust and Nonlinear Control, vol. 4, no. 4, pp. 421–448, 1994.