Abstract
The problem of H ∞ robust control for singular networked control systems that are regular and impulse-free is studied. Under the hypotheses that the uncertain time-varying delay is less than one sampling period, the sensor is clock-driven, and controller and actuator are event-driven, the sufficient condition for the closed-loop singular networked control systems satisfying the asymptotic stability and H ∞ performance is derived through Lyapunov theory and linear matrix inequality and a corresponding design method is also presented. Finally, a simulation example is given to illustrate the the effectiveness of the proposed method.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Zhang, H.G., Yang, J., Su, C.Y.: T-S Fuzzy-Model-Based Robust H ∞ Design for Networked Control Systems With Uncertainties. IEEE Transactions on Industrial Informatics 3(4), 289–301 (2007)
Chow, M.Y., Tipsuwan, Y.: Network-Based Control Systems: A Tutorial. In: 27th Annual Conference of the IEEE Industrial Electronics Society, pp. 1593–1602. IEEE Press, USA (2001)
Zhang, W., Michael, S.B., Stephen, M.P.: Stability of Networked Control Systems. IEEE Control Systems Magazine 21, 84–99 (2001)
Walsh, G.C., Ye, H., Bushnell, L.G.: Stability Analysis of Networked Control Systems. IEEE Transactions on Control Systems Technology 10(3), 438–446 (2002)
Yue, D., Han, Q.L., Lam, J.: Network-Based Robust H ∞ Control of Systems with Uncertainty. Automatica 41, 999–1007 (2005)
Yin, Z.Y., Zhang, H.G.: Robust Tolerant Control for Nonlinear Systems with Uncertainties and Time Delays Based on Fussy Models. Journal of Control Theory and Applications 26(6), 683–686 (2009) (in Chinese)
Liu, Z.W., Zhang, H.G.: Robust Stability of Interval Neural Networks with Mixed Time-Delays via Augmented Functional. Journal of Control Theory and Applications 26(12), 1325–1330 (2009) (in Chinese)
Ma, D.Z., Wang, Z.S., Feng, J., Zhang, H.G.: Robust H ∞ Filter Design for a Class of Uncertain Systems with Infinitely Distributed Time Delay. Journal of Control Theory and Applications 27(2), 138–142 (2010) (in Chinese)
Zhu, X.L., Yang, G.H.: Robust H ∞ Performance Analysis for Continuous-Time Networked Control Systems. In: IEEE American Control Conference, pp. 5204–5209. IEEE Press, Washington (2008)
Ma, Y.G., Yuan, L.: Robust H ∞ Control of Networked Control System. In: IEEE Proceedings of the Eighth International Conference on Machine Learning and Cybernetics, pp. 445–449. IEEE Press, Baoding (2009)
Liu, L.L., Li, N., Zhang, Q.L.: Guaranteed Cost Control of Singular Networked Control Systems with Time-Delay. In: Chinese Control and Decision Conference, Yantai, pp. 415–418 (2008)
Xie, L.H.: Output Feedback H ∞ Control of Systems with Parameter Uncertainty. International Journal of Control 63(4), 741–750 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, J., Zhang, H., Zhang, J., Yang, F. (2012). H ∞ Robust Control for Singular Networked Control Systems with Uncertain Time-Delay. In: Wang, J., Yen, G.G., Polycarpou, M.M. (eds) Advances in Neural Networks – ISNN 2012. ISNN 2012. Lecture Notes in Computer Science, vol 7368. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31362-2_49
Download citation
DOI: https://doi.org/10.1007/978-3-642-31362-2_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31361-5
Online ISBN: 978-3-642-31362-2
eBook Packages: Computer ScienceComputer Science (R0)