×

zbMATH — the first resource for mathematics

Robust reliable stabilization of uncertain switched neutral systems with delayed switching. (English) Zbl 1227.34075
The authors mix various existing ideas to derive matrix conditions for the stabilization of a linear system subject to uncertainty, switching and delay.

MSC:
34K35 Control problems for functional-differential equations
34K20 Stability theory of functional-differential equations
93B50 Synthesis problems
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Engell, S.; Kowalewski, S.; Schulz, C.; Strusberg, O., Continuous-discrete interactions in chemical processing plants, Proceedings of the IEEE, 88, 7, 1050-1068, (2000)
[2] Horowitz, R.; Varaiya, P., Control design of an automated highway system, Proceedings of the IEEE, 88, 7, 913-925, (2000)
[3] Livadas, C.; Lygeros, J.; Lynch, N.A., High-level modeling and analysis of the traffic alert and collision avoidance system, Proceedings of the IEEE, 88, 7, 926-948, (2000)
[4] Pepyne, D.; Cassandaras, C., Optimal control of hybrid systems in manufacturing, Proceedings of the IEEE, 88, 7, 1008-1122, (2000)
[5] Song, M.; Tarn, T.J.; Xi, N., Integration of task scheduling, action planning, and control in robotic manufacturing systems, Proceedings of the IEEE, 88, 7, 1097-1107, (2000)
[6] Antsaklis, P.J., Special issue on hybrid systems: theory and applications: A brief introduction to the theory and applications of hybrid systems, Proceedings of the IEEE, 88, 7, 887-897, (2000)
[7] Sun, Z., Combined stabilizing strategies for switched linear systems, IEEE transactions on automatic control, 51, 4, 666-674, (2006) · Zbl 1366.93530
[8] Cheng, D.; Guo, L.; Lin, Y.; Wang, Y., Stabilization of switched linear systems, IEEE transactions on automatic control, 50, 5, 661-666, (2005) · Zbl 1365.93389
[9] Lin, H.; Antsaklis, P.J., Stability and stabilizability of switched linear systems: a survey of recent results, IEEE transactions on automatic control, 54, 2, 308-322, (2009) · Zbl 1367.93440
[10] Hespanha, J.P.; Liberzon, D.; Angeli, D.; Sontag, E.D., Nonlinear norm-observability notions and stability of switched systems, IEEE transactions on automatic control, 50, 2, 154-168, (2005) · Zbl 1365.93349
[11] Hespanha, J.P., Uniform stability of switched linear systems: extension of lasalle’s invariance principle, IEEE transactions on automatic control, 49, 4, 470-482, (2004) · Zbl 1365.93348
[12] Wang, R.; Zhao, J., Guaranteed cost control for a class of uncertain switched delay systems: an average Dwell-time method, Cybernetics and systems, 38, 1, 105-122, (2007) · Zbl 1111.93016
[13] Li, Q.K.; Zhao, J.; Dimirovski, G.M., Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystems, Nonlinear analysis: hybrid systems, 3, 2, 133-142, (2009) · Zbl 1166.93325
[14] Zhai, G.S.; Hu, B.; Yasuda, K.; Michel, A.N., Disturbance attenuation properties of time-controlled switched systems, Journal of the franklin institute, 338, 7, 765-779, (2001) · Zbl 1022.93017
[15] Liu, J.; Liu, X.Z.; Xie, W.C., Delay-dependent robust control for uncertain switched systems with time-delay, Nonlinear analysis: hybrid systems, 2, 1, 81-95, (2008) · Zbl 1157.93362
[16] Mohamad, M.S.; Alwan, S.; Liu, X.Z., On stability of linear and weakly nonlinear switched systems with time delay, Mathematical and computer modeling, 48, 7-8, 1150-1157, (2008) · Zbl 1187.34067
[17] Niamsup, P., Controllability approach to H∞ control problem of linear time-varying switched systems, Nonlinear analysis: hybrid systems, 2, 3, 875-886, (2008) · Zbl 1215.93043
[18] Lien, C.H.; Yu, K.W., Non-fragile H∞ control for uncertain neutral systems with time-varying delays via the LMI optimization approach, IEEE transactions on systems, man, and cybernetics, part B, 37, 2, 493-499, (2007)
[19] Kwon, O.M.; Park, J.H.; Lee, S.M., Augmented Lyapunov functional approach to stability of uncertain neutral systems with time-varying delays, Applied mathematics and computation, 207, 1, 202-212, (2009) · Zbl 1178.34091
[20] Kwon, O.M.; Park, J.H.; Lee, S.M., On delay-dependent robust stability of uncertain neutral systems with interval time-varying delays, Applied mathematics and computation, 203, 2, 843-853, (2008) · Zbl 1168.34046
[21] Kwon, O.M.; Park, J.H.; Lee, S.M., On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays, Applied mathematics and computation, 197, 2, 864-873, (2008) · Zbl 1144.34052
[22] Wang, R.; Liu, M.; Zhao, J., Reliable H∞ control for a class of switched nonlinear systems with actuator failures, Nonlinear analysis: hybrid systems, 1, 3, 317-325, (2007) · Zbl 1118.93351
[23] Wang, R.; Dimirovski, G.M.; Zhao, J.; P Liu, G., Output feedback control for uncertain linear systems with faulty actuators based on a switching method, International journal of robust and nonlinear control, 19, 12, 1295-1312, (2008) · Zbl 1169.93393
[24] Wang, R.; Jin, G.; Zhao, J., Roust fault-tolerant control for a class of switched nonlinear systems in lower triangular form, Asian journal of control, 9, 1, 68-72, (2007)
[25] Xiang, Z.; Wang, R., Robust L∞ reliable control for uncertain nonlinear switched systems with time delay, Applied mathematics and computation, 210, 1, 202-210, (2009) · Zbl 1159.93322
[26] Sen, M.D.; Malaina, J.L.; Gallego, A.; Soto, J.C., Stability of non-neutral and neutral dynamic switched systems subject to internal delays, American journal of applied sciences, 2, 10, 1481-1490, (2005)
[27] Sun, X.M.; Fu, J.; Sun, H.F.; Zhao, J., Stability of linear switched neutral delay systems, Proceedings of the Chinese society for electrical engineering, 25, 23, 42-46, (2005)
[28] Zhang, Y.; Liu, X.; Zhu, H., Stability analysis and control synthesis for a class of switched neutral systems, Applied mathematics and computation, 190, 2, 1258-1266, (2007) · Zbl 1117.93062
[29] Liu, D.Y.; Liu, X.Z.; Zhong, S.M., Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays, Applied mathematics and computation, 202, 2, 828-839, (2008) · Zbl 1143.93020
[30] Zhong, S.; Ye, M.; Wu, S.; stability, New, New stability and stabilization for switched neutral control systems, Chaos, solitons and fractals, 42, 3, 1800-1811, (2009) · Zbl 1198.93187
[31] Xie, G.; Wang, L., Stabilization of switched linear systems with time-delay in detection of switching signal, Journal of mathematical analysis and applications, 305, 6, 277-290, (2005) · Zbl 1140.93463
[32] Xie, W.; Wen, C.; Li, Z., Input-to-state stabilization of switched nonlinear systems, IEEE transactions on automatic control, 46, 7, 1111-1116, (2001) · Zbl 1010.93089
[33] Ji, Z.; Guo, X.; Xu, S.; Wang, L., Stabilization of switched linear systems with time-varying delay in switching occurrence detection, Circuits, systems and signal processing, 26, 3, 361-367, (2007) · Zbl 1118.93044
[34] Xie, D.; Chen, X., Observer-based switched control design for switched linear systems with time-delay in detection of switching signal, IET control theory and applications, 2, 5, 437-445, (2008)
[35] Xiang, Z.R.; Wang, R.H., Robust control for uncertain switched non-linear systems with time delay under asynchronous switching, IET control theory and applications, 3, 8, 1041-1050, (2009)
[36] Xiang, Z.R.; Wang, R.H., Robust stabilization of switched non-linear systems with time-varying delays under asynchronous switching, Proc imeche, part I: journal of systems and control engineering, 223, 8, 1111-1128, (2009)
[37] Sun, X.M.; Zhao, J.; Hill, D.J., Stability and L2-gain analysis for switched delay systems: a delay-dependent method, Automatica, 42, 10, 1769-1774, (2006) · Zbl 1114.93086
[38] Liberzon, D., Switching in systems and control, (2003), Birkhauser Boston · Zbl 1036.93001
[39] Petersen, I.R., A stabilization algorithm for a class of uncertain linear systems, Systems and control letters, 8, 4, 351-357, (1987) · Zbl 0618.93056
[40] Xie, L., Output feedback H∞ control of systems with parameter uncertainty, International journal of control, 63, 4, 741-750, (1996) · Zbl 0841.93014
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.