Abstract
A robust controller is derived for networked control systems with uncertain plant dynamics. The link between the nodes is disturbed by time-varying communication delays, samplings and time-synchronization. A stability criterion for a robust control is presented in terms of LMIs based on Lyapunov-Krasovskii techniques. A second-order system example is considered and the relation between the admissive bounds of the synchronization error and the size of the uncertainties is computed.
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Abdallah, C.T.: Delay effect in the networked control of mobile robot. In: Chiasson, J., Loiseau, J.-J. (eds.) Application in Time-Delay Systems. LNCIS, vol. 352, Springer, Heidelberg (2007)
Azorin, J.M., Reinoso, O., Sabater, J.M., Neco, R.P., Aracil, R.: Dynamic analysis for a teleoparation system with time delay. In: Proceeding of Conference on Control Applications, June 2003, pp. 1170–1175 (2003)
Eusebi, A., Melchiorri, C.: Force-Reflecting telemanipulators with Time-delay: Stability Analysis and control design. IEEE trans. on Robotics and Automation 14(4), 635–640 (1998)
Ferrel, W.R.: Remote manipulation with transmission delay. IEEE Trans. on Human Factors in Electronics HFE-6, 24–32 (1965)
Freris, N.M., Kumar, P.R.: Fundamental Limits on Synchronization of Affine Clocks in Networks. In: Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, December 12-14 (2007)
Fridman, E., Seuret, A., Richard, J.-P.: Robust Sampled-Data Stabilization of Linear Systems: An Input Delay Approach. Automatica 40(8), 1141–1146 (2004)
Fridman, E., Shaked, U.: A descriptor system approach to H  ∞  control of linear time-delay systems. IEEE Trans. on Automatic Control 47(2), 253–270 (2002)
Hespanha, J.P., Naghshtabrizi, P., Xu, Y.: A survey of recent results in networked control systems. Proceedings of the IEEE 95(1), 138–162 (2007)
Motestruque, L.A., Antsaklis, P.J.: Stability of model-based networked control system with time-varying transmission time. IEEE Tans. on Automatic Control 49(9), 1562–1572 (2004)
Niculescu, S.-I.: Delay Effects on Stability. A Robust Control Approach. Springer, Heidelberg (2001)
Richard, J.-P.: Time delay systems: an overview of some recent advances and open problems. Automatica 39(10), 1667–1694 (2003)
Seuret, A., Fridman, E., Richard, J.-P.: Sampled-data exponential stabilization of neutral systems with input and state delays. In: IEEE MED, 13th Mediterranean Conference on Control and Automation, Cyprus (June 2005)
Seuret, A., Michaut, F., Richard, J.-P., Divoux, T.: Networked Control using GPS Synchronization. In: Minneapolis, U.S. (ed.) American Control Conference, Minneapolis, US (June 2006)
Witrant, E., Canudas de Wit, C., Georges, D., Alamir, M.: Remote output stabilization via communication networks with a distributed control law. IEEE Trans. on Automatic Control 52(8), 1480–1485 (2007)
Yue, D., Han, Q.-L., Peng, C.: State feedback controller design for networked control systems. IEEE Trans. on Automatic Control 51(11), 640–644 (2004)
Zampieri, S.: A survey of recent results in Networked Control Systems. In: Proc. of the 17th IFAC World Congress, Seoul, Korea, July 2008, pp. 2886–2894 (2008)
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Seuret, A., Johansson, K.H. (2012). Networked Control under Time-Synchronization Errors. In: Sipahi, R., VyhlÃdal, T., Niculescu, SI., Pepe, P. (eds) Time Delay Systems: Methods, Applications and New Trends. Lecture Notes in Control and Information Sciences, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25221-1_28
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DOI: https://doi.org/10.1007/978-3-642-25221-1_28
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