Observer-Based Non-Fragile Passive Control for Uncertain Nonlinear Sampled-Data System with Time-Delay

Authors

  • Shigang Wang School of Mechanical & Electric Engineering Heilongjiang University No.74 XueFu Road, Harbin, 150080, P. R. China
  • Yingsong Li College of Information and Communications Engineering Harbin Engineering University No.145 NanTong Street, Harbin, 150001, P. R. China
  • Yi Wu School of Information Science and Technology Heilongjiang University No.74 XueFu Road, Harbin, 150080, P. R. China

Keywords:

Uncertain sampled-data system, Time-delay systems, State observer, Non-fragile passive control, Linear matrix inequality

Abstract

The problem of observer-based passive control for uncertain nonlinear
sampled-data systems with time delay is investigated by using non-fragile passive
control. Attention is focused on the design of a non-fragile passive observer and a
controller which guarantees the passivity of the closed-loop system for all admissible
uncertainties. A sufficient condition for passivity and asymptotic stability of the
combined system is derived via linear matrix inequality (LMI). Finally, a simulation
example is presented to show the validity and advantages of the proposed method.

Author Biography

Shigang Wang, School of Mechanical & Electric Engineering Heilongjiang University No.74 XueFu Road, Harbin, 150080, P. R. China

Department of Mathematics and Computer Science

References

Chen, T.; Francis, B. A. (1995); Optimal Sampled-Data Control System, Springer, New York.

Wu, J. F.; Wang, Q.; Chen, S. B. (2001); Robust Stability for Sampled-Data Systems, Control Theory & Applications, ISSN 1000-8152, 18(8):99-102.

Wu, J. F.; Wang, Q.; Chen, S. B. (2002); Robust control of a class of sampled-data systems with structured uncertainty, Control and Decision, ISSN 1001-0920, 17(5):681-685.

Liu, F. C.; Yao, Y.; He, F. H. (2009); Robust H∞ controller design for sampled-data systems with parametric uncertainties, Journal of Systems Engineering and Electronics, ISSN 1004- 4132, 20(2):371-378.

Wang, G. X.; Liu, Y. W.; Zhen, H. (2006); H∞ mixed sensitivity design for sampled-data systems, Control Theory & Applications, ISSN 1000-8152, 23(3):351-354.

Wang, S. G. (2011); Non-fragile H∞ control with pole constraints for a class of nonlinear sampled-data system, Lecture Notes in Electrical Engineering, ISSN 1876-1100, 87(2):587- 594.

Wang, S. G.; Bi, Y. L.; Li, Y. S. (2014); Improvements on Robust Stability of Sampled-Data System with Long Time Delay, Mathematical Problems in Engineering, ISSN 1024-123X, 2014, Article ID 580768, 7 pages. http://dx.doi.org/10.1155/2014/580768

Abid, H.; Chtourou, M.; Toumi, A. (2008); Robust Fuzzy Sliding Mode Controller for Discrete Nonlinear Systems, International Journal of Computers, Communications & Control, ISSN 1841-9836, III(1):6-20.

Xianga, Z. (2010); Robust Control of Particle Size Distribution in Aerosol Processes, International Journal of Computers, Communications & Control, ISSN 1841-9836, V(3):385-397.

Ngo, T.; Wang, Y.; Mai, T. L.; Nguyen, M. H.; Chen, J. (2012); Robust Adaptive Neural-Fuzzy Network Tracking Control for Robot Manipulator, International Journal of Computers, Communications & Control, ISSN 1841-9836, 7(2):341-352.

Farokhi, M. H.; Vasegh, N. (2014); Robust PID Stabilization of Linear Neutral Time-delay Systems, International Journal of Computers, Communications & Control, ISSN 1841-9836, 9(2):201-208.

Keel, L. H.; Bhattacharyya, S. P. (1997); Robust, fragile, or optimal, IEEE Transactions Automatic Control, ISSN 0018-9286, 42(8):2678-2683.

Yang, G. H.; Wang, J. L.; Lin, C. (2000); H∞ control for linear Systems with additive gain variations, International Journal of Control, ISSN 0020-7179, 73(16):1500-1506.

Yang, G. H.; Wang, J. L. (2001); Non-fragile control for linear Systems with multiplicative controller gain variations, Automatica, ISSN 0005-1098, 37(5):727-737.

Wang, S. G.; Wu, J. F. (2011); Non-fragile H∞ filtering for a class of sampled-data system with long time-delay, ICIC Express Letters Part B: Appliations, ISSN 2185-2766, 2(6):1447-1452.

Wang, S. G.; Li, Y. S.; Wu, Y. (2013); Non-fragile Passive Filtering for Sampled-data System with Long Time-delay Subject to Nonlinearity, Recent Patents on Electrical & Electronic Engineering, ISSN 1874-4761, 6(3):196-202.

Chen, J. D.; Yang, C. D.; Lien, C. H.; Horng, J. H. (2008); New delay-dependent nonfragile H∞ observer-based control for continous time-delay systems, Information Sciences, ISSN 1968-2013, 178(24):4799-4706.

Ibrir, S.; Yang, D. S. (2008); Novel LMI conditions for observer-based stabilization of Lipschitzian nonlinear systems and uncertain linear systems in discrete-time, Applied Mathematics and Computation, ISSN 1975-2013, 206(2):579-588.

Wang, S. G.; Wu, J. F. (2011); Observer-based Non-fragile H∞ control for a class of uncertain time-delay sampled-data systems, Systems Engineering and Electronics, ISSN 1001-506X, 33(6):1358-1361.

Shih, K. S.; Li, T. S.; Tsai S. H. (2012); Observer-Based Adaptive Fuzzy Robust Controller with Self-Adjusted Membership Functions for a Class of Uncertain MIMO Nonlinear Systems: a PSO-SA Method, International Journal of Innovative Computing Information and Control, ISSN 1349-4198, 8(2):1025-1036.

Wang, S. G.; Bi, Y. L. (2012); Robust Output Feedback Control via Pole Constraints for Sampled-Data System with Long Time-Delay, Journal of Computational and Theoretical Nanoscience, ISSN 1546-1955, 10(12):2926-2930.

Gu, D. W.; Poon, F. W. (2003); Robust stabilization for a class of discrete-time non-linear systems via output feedback: the unified LMI approach, International Journal of Control, ISSN 0020-7179, 76(2):105-115.

Albert. (1969); Conditions for positive and non-negative definiteness in terms of pseudoinverses, International Journal of Control, ISSN 1095-712X, 17(2):434-440.

Barmish, B. R. (1985); Necessary and sufficient conditions for quadratic stabilizability of an uncertain system, Journal of Optimization Theory and Applications, ISSN 0022-3239, 46(4):399-408.

Gao, H. J.; Chen, T. W. (2007); New results on stability of discrete-time systems with timevarying state delay, IEEE Transactions on Automatic Control, ISSN 0018-9286, 52(2):328- 334.

Published

2014-06-15

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