Estimation and compensation for lipschitz nonlinear discrete-time systems subjected to unknown measurement delays

IEEE Transactions on Industrial Electronics

Volumn 62, Issue 9, 2015, Pages 5950-5961

  Gao, Zhiwei ^a  

^a NORTHUMBRIA UNIVERSITY   (United Kingdom)

Author keywords

Discrete time systems; measurement delays; nonlinear systems; observers; robustness; signal compensation.

Indexed keywords

DIGITAL CONTROL SYSTEMS; NONLINEAR ANALYSIS; NONLINEAR SYSTEMS; ROBUST CONTROL; ROBUSTNESS (CONTROL SYSTEMS);

DISCRETE - TIME SYSTEMS; ESTIMATION AND COMPENSATION; LIPSCHITZ NONLINEAR SYSTEMS; MEASUREMENT DELAYS; NONLINEAR DISCRETE-TIME SYSTEMS; OBSERVERS; OUTPUT FEEDBACK CONTROLS; SIGNAL COMPENSATION;

DISCRETE TIME CONTROL SYSTEMS;

EID: 84939216167     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2015.2421877     Document Type: Article

References (26)

1. A. Atassi and H. Khalil, "A separation principle for the control of a class of nonlinear systems," IEEE Trans. Autom. Control, vol. 46, no. 5, pp. 742-746, May 2001.
2. A. Pertew, H. Marquez, and Q. Zhao, "Sampled-data stabilization of a class of nonlinear systems with applications in robotics," Trans. ASME, J. Dyn. Syst. Meas. Control, vol. 131, no. 2, pp. 1-8, Mar., 2009.
3. M. Rehan, K. Hong, and S. Ge, "Stabilization and tracking control for a class of nonlinear systems," Nonlin. Anal.-Real World Appl., vol. 12, no. 3, pp. 1786-1796, Jun. 2011.
4. J. Korbicz, M. Witczak, and V. Puig, "LMI-based strategies for designing observers and unknown input observers for non-linear discrete-time systems," Bull. Polish Acad. Sci., vol. 55, no. 1, pp. 31-42, Jan. 2007.
5. L. Li, Z. Zhang, and J. Xu, "A generalized nonlinear filter design for discrete-time Lipschitz descriptor systems," Nonlin. Anal.-Real World Appl., vol. 15, no. 1, pp. 1-11, Jan. 2014.
6. Z. Gao and S. Ding, "Sensor fault reconstruction and sensor compensation for a class of nonlinear state-space systems via a descriptor system approach," IET Control Theory Appl., vol. 1, no. 3, pp. 578-585, May 2007.
7. A. Pertew, H. Marquez, and Q. Zhao, "LMI-based sensor fault diagnosis for nonlinear Lipschitz systems" Automatica, vol. 43, no. 8, pp. 1464-1469, Aug. 2007.
8. J. Hale, Functional Differential Equations. New York, NY, USA: Springer-Verlag, 1977.
9. H. Rezaee, F. Abdollahi, and H. Talebi "H? based motion synchronization in formation flight with delayed communications," IEEE Trans. Ind. Electron., vol. 61, no. 11, pp. 6175-6182, Nov. 2014
10. Y. Wang, D. Yu, and Y. Kim, "Robust time-delay control for the DC-DC boost converter," IEEE Trans. Ind. Electron., vol. 61, no. 9, pp. 4829-4837, Sep. 2014.
11. Y. Liu, Z. Wang, J. Liang, and X. Liu, "Synchronization of coupled neutral-type neural networks with jumping-mode-dependent discrete and unbounded distributed delays," IEEE Trans. Cybern., vol. 43, no. 1, pp, 102-114, Feb., 2013.
12. K. Bouazza and M. Ouali, "Global stabilization of a class of delay discrete-time nonlinear systems via state and output feedback," Int. J. Control Autom. Syst., vol. 11, no. 6, pp. 1084-1094, Dec. 2013.
13. H. Dong, Z. Wang, and H. Gao, "Distributed H? filtering for a class of Markovian jump nonlinear time-delay systems over lossy sensor networks," IEEE Trans. Ind. Electron., vol. 60, no. 10, pp. 4665-4672, Oct. 2013.
14. A. Zemouche andM. Boutayeb, "Observer synthesis method for Lipschitz nonlinear discrete-time systems with time-delay: An LMI approach," Appl. Math. Comput., vol. 218, no. 2, pp. 419-429, Sep. 2011.
15. S. Mondal and W. Chung, "Adaptive observer for a class of nonlinear systems with time-varying delays," Int. J. Adapt. Control Signal Process., vol. 27, no. 7, pp. 610-619, Aug. 2013.
16. Z. Gao and S. Ding, "State and disturbance estimator for time-delay systems with application to fault estimation and signal compensation," IEEE Trans. Signal Process., vol. 55, no. 12, pp. 5541-5551, Dec. 2007.
17. A. Germani, C. Manes, and P. Pepe, "A new approach to state observation of nonlinear systems with delayed output," IEEE Trans. Autom. Control, vol. 47, no. 1, pp. 96-101, Jan. 2002.
18. S. Atia, A. Messaoud, M. Ltaief, and R. Ardennour, "Synthesis of multiobservers for discrete-time nonlinear systems with delayed output," Int. J. Sci. Tech. Autom. Control Comput. Eng., vol. 8, no. 1, pp. 1966-1981, Apr. 2014.
19. S. Lee, "Observer for discrete-time Lipschitz non-linear systems with delayed output," IET Control Theory Appl., vol. 5, no. 1, pp. 54-62, Jan. 2011.
20. V. Assche, T. Ahmed-Ali, C. Hann, and F. Lamnabhi-Lagarrigue, "High gain observer design for nonlinear systems with time varying delayed measurements," Proc. 18th IFAC World Congr., Sep. 2011, pp. 692-696.
21. S. Li, J. Yang, W. Chen, and X. Chen, "Generalized extended state observer based control for systems with mismatched uncertainties," IEEE Trans. Ind. Electron., vol. 59, no. 12, pp. 4792-4802, Dec. 2012.
22. D. Ginoya, P. Shendge, and S. Phadke, "Sliding mode control for mismatched uncertain systems using an extended disturbance observer," IEEE Trans. Ind. Electron., vol. 61, no. 4, pp. 1983-1992, Apr. 2014.
23. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA, USA: SIAM, 1994.
24. S. Nguang, "Robust stabilization of a class of time-delay nonlinear systems," IEEE Trans. Autom. Control, vol. 45, no. 4, pp. 756-762, Apr. 2000.
25. Z. Wang, H. Dong, B. Shen, and H. Gao, "Finite-horizon filtering with missing measurements and quantization effects," IEEE Trans. Autom. Control, vol. 58, no. 7, pp. 1707-1718, Jul. 2013.
26. Z. Gao, S. X. Ding, and C. Cecati, "Real-time fault diagnosis and faulttolerant control," IEEE Trans. Ind. Electron., vol. 62, no. 6, Jun. 2015.