Abstract and Applied Analysis

Decentralized H Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback

Heli Hu and Dan Zhao

Full-text: Open access

Abstract

The design of the dynamic output feedback H control for uncertain interconnected systems of neutral type is investigated. In the framework of Lyapunov stability theory, a mathematical technique dealing with the nonlinearity on certain matrix variables is developed to obtain the solvability conditions for the anticipated controller. Based on the corresponding LMIs, the anticipated gains for dynamic output feedback can be achieved by solving some algebraic equations. Also, the norm of the transfer function from the disturbance input to the controlled output is less than the given index. A numerical example and the simulation results are given to show the effectiveness of the proposed method.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 989703, 11 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412605894

Digital Object Identifier
doi:10.1155/2014/989703

Mathematical Reviews number (MathSciNet)
MR3193565

Zentralblatt MATH identifier
07023463

Citation

Hu, Heli; Zhao, Dan. Decentralized ${H}_{\infty }$ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 989703, 11 pages. doi:10.1155/2014/989703. https://projecteuclid.org/euclid.aaa/1412605894


Export citation

References

  • H. Mukaidani and H. Xu, “Pareto optimal strategy for stochastic weakly coupled large scale systems with state dependent system noise,” IEEE Transactions on Automatic Control, vol. 54, no. 9, pp. 2244–2250, 2009.
  • A. Swarnakar, H. J. Marquez, and T. Chen, “A new scheme on robust observer-based control design for interconnected systems with application to an industrial utility boiler,” IEEE Transactions on Control Systems Technology, vol. 16, no. 3, pp. 539–547, 2008.
  • M. Franceschelli, A. Gasparri, A. Giua, and G. Ulivi, “Decentralized stabilization of heterogeneous linear multi-agent systems,” in Proceedings of the 2010 IEEE International Conference on Robotics and Automation, pp. 3556–3561, May 2010.
  • S. J. Yoo, N. Hovakimyan, and C. Cao, “Decentralised ${L}_{1}$ adaptive control for large-scale non-linear systems with interconnected unmodelled dynamics,” IET Control Theory & Applications, vol. 4, no. 10, pp. 1972–1988, 2010.
  • S. Schuler, P. Li, J. Lam, and F. Allgöwer, “Design of structured dynamic output-feedback controllers for interconnected systems,” International Journal of Control, vol. 84, no. 12, pp. 2081–2091, 2011.
  • N. Chen, G. Zhai, W. Gui, C. Yang, and W. Liu, “Decentralised ${\text{H}}_{\infty }$ quantisers design for uncertain interconnected networked systems,” IET Control Theory & Applications, vol. 4, no. 2, pp. 177–185, 2010.
  • X.-G. Yan, S. K. Spurgeon, and C. Edwards, “Global decentralised static output feedback sliding-mode control for interconnected time-delay systems,” IET Control Theory & Applications, vol. 6, no. 2, pp. 192–202, 2012.
  • X. Ye, “Decentralized adaptive stabilization of large-scale nonlinear time-delay systems with unknown high-frequency-gain signs,” IEEE Transactions on Automatic Control, vol. 56, no. 6, pp. 1473–1478, 2011.
  • C. C. Hua, J. Leng, and X. P. Guan, “Decentralized MRAC for large-scale interconnected systems with time-varying delays and applications to chemical reactor systems,” Journal of Process Control, vol. 22, no. 10, pp. 1985–1996, 2012.
  • C.-C. Hua, Q.-G. Wang, and X.-P. Guan, “Exponential stabilization controller design for interconnected time delay systems,” Automatica, vol. 44, no. 10, pp. 2600–2606, 2008.
  • H. Wu, “Decentralised adaptive robust control of uncertain large-scale non-linear dynamical systems with time-varying delays,” IET Control Theory & Applications, vol. 6, no. 5, pp. 629–640, 2012.
  • Y. Zhu and P. R. Pagilla, “Decentralized output feedback control of a class of large-scale interconnected systems,” IMA Journal of Mathematical Control and Information, vol. 24, no. 1, pp. 57–69, 2007.
  • S. Yin, H. Luo, and S. Ding, “Real-time implementation of fault-tolerant control systems with performance optimization,” IEEE Transactions on Industrial Electronics, vol. 64, no. 5, pp. 2402–2411, 2014.
  • S. Yin, G. Wang, and H. Karimi, “Data-driven design of robust fault detection system for wind turbines,” Mechatronics, 2013.
  • V. Kolmanovskii and A. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1999.
  • L. Xiong, J. Tian, and X. Liu, “Stability analysis for neutral Markovian jump systems with partially unknown transition probabilities,” Journal of the Franklin Institute, vol. 349, no. 6, pp. 2193–2214, 2012.
  • R. Sakthivel, K. Mathiyalagan, and S. M. Anthoni, “Robust stability and control for uncertain neutral time delay systems,” International Journal of Control, vol. 85, no. 4, pp. 373–383, 2012.
  • O. M. Kwon, M. J. Park, J. H. Park, S. M. Lee, and E. J. Cha, “New delay-partitioning approaches to stability criteria for uncertain neutral systems with time-varying delays,” Journal of the Franklin Institute, vol. 349, no. 9, pp. 2799–2823, 2012.
  • L. Wang and C. Shao, “Stability analysis and control synthesis of uncertain neutral delay systems with actuator failures,” International Journal of Automation and Control, vol. 4, no. 4, pp. 398–416, 2010.
  • F. Qiu and B. Cui, “Improved exponential stability criteria for uncertain neutral system with nonlinear parameter perturbations,” International Journal of Automation and Computing, vol. 7, no. 4, pp. 413–418, 2010.
  • 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.
  • F. El Haoussi and H. El Tissir, “Delay and its time-derivative dependent robust stability of uncertain neutral systems with saturating actuators,” International Journal of Automation and Computing, vol. 7, no. 4, pp. 455–462, 2010.
  • Y. Xiong and M. Saif, “Sliding mode observer for nonlinear uncertain systems,” IEEE Transactions on Automatic Control, vol. 46, no. 12, pp. 2012–2017, 2001.
  • C. Jiang, “Observer design for neutral systems with delays and nonlinear perturbations: delay-dependent method,” International Journal of Control, Automation, and Systems, vol. 11, no. 2, pp. 427–432, 2013.
  • S. Tong, Y. Li, G. Feng, and T. Li, “Observer-based adaptive fuzzy backstepping dynamic surface control for a class of non-linear systems with unknown time delays,” IET Control Theory & Applications, vol. 5, no. 12, pp. 1426–1438, 2011.
  • W. P. M. H. Heemels, J. Daafouz, and G. Millerioux, “Observer-based control of discrete-time LPV systems with uncertain parameters,” IEEE Transactions on Automatic Control, vol. 55, no. 9, pp. 2130–2135, 2010.
  • M. Chen and W. Chen, “Disturbance-observer-based robust control for time delay uncertain systems,” International Journal of Control, Automation and Systems, vol. 8, no. 2, pp. 445–453, 2010.
  • N. Takahashi, M. Yokomichi, O. Sato, and M. Kono, “Observer-based control of a manipulator system with structured uncertainty,” Artificial Life and Robotics, vol. 16, no. 2, pp. 234–238, 2011.
  • Y. Li, S. Tong, and Y. Li, “Observer-based adaptive fuzzy backstepping control of MIMO stochastic nonlinear strict-feedback systems,” Nonlinear Dynamics, vol. 67, no. 2, pp. 1579–1593, 2012.
  • Z. Wang, J. Lam, and K. J. Burnham, “Stability analysis and observer design for neutral delay systems,” IEEE Transactions on Automatic Control, vol. 47, no. 3, pp. 478–483, 2002.
  • 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. \endinput