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A switching system approach to actuator assignment with limited channels. (English) Zbl 1206.93054

Summary: The problem of integrated design of controller and communication sequences is addressed for networked control systems with simultaneous consideration of medium access limitations and network-induced delays, packet dropouts and measurement quantization. By exploiting a Lyapunov-Krasovskii functional and by making use of novel techniques for switching delay systems, it is shown that linear time invariant systems can be stabilized with delay-dependent state feedback controllers and communication sequences satisfying appropriate delay-dependent conditions in terms of linear matrix inequalities. Illustrative examples are provided to show the usefulness and advantage of the developed results.

MSC:

93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C05 Linear systems in control theory
93D15 Stabilization of systems by feedback
93B52 Feedback control
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[1] Ben Gaid, Optimal integrated control and scheduling of networked control systems with communication constraints: application to a car suspension system, IEEE Transactions on Control Systems Technology 14 (4) pp 776– (2006)
[2] Goodwin, A moving horizon approach to networked control systems design, IEEE Transactions on Automatic Control 49 (9) pp 1562– (2004) · Zbl 1365.93172
[3] Palopoli L, Bicchi A, Vincentelli AS. Numerically efficient control of systems with communication constraints. Proceedings of the 41st IEEE CDC, Las Vegas, NV, 2002; 1626-1631.
[4] Branicky MS, Phillips SM. et al. Scheduling and feedback co-design for networked control systems. Proceedings of the 40th IEEE CDC, Orlando, FL, 2002; 1211-1217.
[5] Hristu D. Feedback control systems as users of a shared network: communication sequences that guarantee stability. Proceedings of the 40th IEEE CDC, 2001; 3631-3636.
[6] Ishii, Stabilization with control networks, Automatica 38 (10) pp 1745– (2002) · Zbl 1011.93502
[7] Rehbinder, Scheduling of a limited communication channel for optimal control, Automatica 40 (3) pp 491– (2004) · Zbl 1044.93040
[8] Elia, When bode meets shannon: control-oriented feedback communication schemes, IEEE Transactions on Automatic Control 49 (9) pp 1477– (2004) · Zbl 1365.94013
[9] Guo, Integrated actuator assignment and system stabilization with delayed actuation, IEEE Transactions on Automatic Control
[10] Guo, Integrated communication and control systems with occasional information feedback, Cybernetics and Systems 39 (8) pp 843– (2008) · Zbl 1290.93140
[11] Guo, Observability and controllability of systems with limited data rate, International Journal of Systems Science 40 (4) pp 327– (2009) · Zbl 1172.93315
[12] Halevi, Integrated communication and control systems: Part I-analysis, ASME Journal of Dynamic Systems, Measurement, and Control 110 (4) pp 367– (1988)
[13] Kim, Maximum allowable delay bounds of networked control systems, Control Engineering Practice 11 (2003) pp 1301– (2003)
[14] Tatikonda, Control under communication constraints, IEEE Transactions on Automatic Control 49 (7) pp 1056– (2004) · Zbl 1365.93271
[15] Tatikonda, Control over noisy channels, IEEE Transactions on Automatic Control 49 (8) pp 1196– (2004) · Zbl 1365.94341
[16] Walsh, Scheduling of networked control systems, IEEE Control Systems Magazine 21 (1) pp 57– (2001)
[17] Goodwin, A moving horizon approach to networked control systems design, IEEE Transactions on Automatic Control 49 (9) pp 1562– (2004) · Zbl 1365.93172
[18] Zhang L. Access scheduling and controller design in networked control systems. Ph.D. Dissertations, University of Maryland, U.S.A., 2005.
[19] Zhang, Communication and control co-design for networked control systems, Automatica 42 pp 953– (2006) · Zbl 1117.93302
[20] Hristu-Varsakelis D. Stabilization of networked control systems with access constraints and delays. Proceedings of the Conference on Decision and Control, San Diego, CA, U.S.A.,1123-1128.
[21] Hristu-Varsakelis, Short-period communication and the role of zero-order holding in networked control systems, IEEE Transactions on Automatic Control 53 (5) pp 1285– (2008) · Zbl 1367.93258
[22] Liberzon, Switching in Systems and Control (2003)
[23] Wicks, Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems, European Journal of Control 4 (2) pp 140– (1998) · Zbl 0910.93062
[24] Kim, Stability of a class of linear switching systems with time delay, IEEE Transactions on Circuits and Systems 53 (2) pp 384– (2006)
[25] Zhang L, Hristu-Varsakelis D. Stabilization of networked control systems under feedback-based communication. Proceedings of the American Control Conference, Portland, OR, U.S.A.,2933-2938.
[26] Hristu-Varsakelis, Limited communication control, Systems and Control Letters 37 (4) pp 193– (1999) · Zbl 1367.93258
[27] Boyd, Linear Matrix Inequalities in Systems and Control Theory (1994) · Zbl 0816.93004
[28] Gao, A new delay system approach to network-based control, Automatica 44 (1) pp 39– (2008) · Zbl 1138.93375
[29] Gu, Stability of Time-delay Systems [M] (2003) · Zbl 1039.34067
[30] Elia, Stabilization of linear systems with limited information, IEEE Transactions on Automatic Control 46 (9) pp 1384– (2001) · Zbl 1059.93521
[31] Fu, The sector bound approach to quantized feedback control, IEEE Transactions on Automatic Control 50 (11) pp 1698– (2005) · Zbl 1365.81064
[32] Liberzon, Basic problems in stability sand design of switched systems, IEEE Control Systems Magazine 19 pp 59– (1999) · Zbl 1384.93064
[33] Wicks MA, Peleties P. Construction of piecewise Lyapunov functions for stabilizing switched systems. Proceedings of the Conference on Decision and Control, Lake Buena Vista, FL, 1994; 3492-3497.
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