Abstract
In this chapter a switched output feedback control scheme for networked systems will be presented. The control scheme is applied on client-server architectures where the feedback control loop is closed over a general purpose wireless communication channel between the plant (server) and the controller (client). The inserted delays from the communication network in general are time-varying and degrade the system dynamic performance, while forcing it to instabilities. To deal with these changes a linear quadratic regulator (LQR)-output feedback control scheme is introduced, whose parameters are tuned accordingly to the variation of the measured round trip latency times. The weights of the LQR controllers are subsequently tuned using the theory of linear matrix inequalities (LMIs) to ensure a prescribed stability margin despite the variable latency time. The overall scheme resembles a gain scheduler controller with the latency times playing the role of scheduling parameter. The proposed control scheme is applied in experimental and simulation studies to a networked control system over different communication channels including: (a) the GPRS, (b) the IEEE 802.11b, and (c) the IEEE 802.11b over a mobile ad hoc sensor network (MANET). The underlying mechanisms that generate the time-varying latency times in each case will also be presented and analyzed prior to the control scheme development.
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References
Akyildiz I, Su W, Sankarasubramamian Y, Cayirci E (2002) Wireless sensor networks: a survey. Computer Networks 38:393–422
Akyildiz I, Wang X, Wang W (2005) Wireless mesh networks: a survey. Computer Networks 47:445–487
Bettstetter C, Vogel H, Eberspecher J (1999) GSM phase 2+ general packet radio service (GPRS): architecture, protocols, and air interface. IEEE Communications Surveys 2, 3rd Quarter
Boyd S, Balakrishnan V, Feron E, Ghaoui L (1993) Control system analysis and synthesis via linear matrix inequalities. In: Proc American Control Conference, San Francisco, CA, 2:2147–2154
Branicky M, Phillips S, Zhang W (2000) Stability of networked control systems: explicit analysis of delay. In: Proc American Control Conference, Urbana, IL, 2352–2357
Crow B, Widjaja I, Kim J, Sakai P (1997) IEEE 802.11 wireless local area networks. IEEE Communications Magazine 35:116–126
Daafouz J, Riedinger P, Iung C (2002) Stability analysis and control synthesis for switched systems: a switched lyapunov function approach. IEEE Trans Automatic Control 47:1883–1887
Duarte-Melo EJ, Liu M (2003) Data gathering wireless sensor networks: organization and capacity. Computer Networks 43:393–422
Ge S, Sun Z, Lee T (2001) Reachability and controllability of switched linear discrete-time systems. IEEE Trans Automatic Control 46:1437–1441
Goodwin GC, Haimovich H, Quevendo DE, Welsh JS (2004) A moving horizon approach to networked controlled systems design. IEEE Trans Automatic Control 49:1427–1445
Halevi Y, Ray A (1988) Integrated communication and control systems: part I-analysis. J Dynamic Systems, Measurement and Control 110:367–373
IEEE Std 802.11 (2001) IEEE standard for local and metropolitan area networks: wireless lan medium access control (MAC) and physical layer (PHY) specification
Information science institute network simulator: http://www.isi.edu/nsnam/ns/
Jonhson DB, Maltz DA, Broch J (2001) Ad-hoc networking. Addison-Wesley, Reading, MA
Langendoen K, Reijers N (2003) Distributed localization in wireless sensor networks: a quantitive comparison. Computer Networks 43:499–518
Lian F, Moyne J, Tilbury D (2002) Network design consideration for distributed control systems. IEEE Trans Control Systems Technology 10:297–307
Liou L, Ray A (1990) Integrated communication and control systems: part III-nonidentical sensor and controller sampling. J Dynamic Systems, Measurement and Control 112:357–364
Moller N, Johansson KH, Jalmarsson H (2004) Making retransmission delays in wireless links friendlier to TCP. In: Proc 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, 5134–5139
Nair G, Evans R, Mareels I, Moran W (2003) Feedback data rates for nonlinear systems. In: Proc European Control Conference, Cambridge, UK, 731–736
Natkaniec M, Pach AR (2000) An analysis of the backoff mechanism used in IEEE 802.11 networks. In: Proc IEEE Symposium on Computer and Communications, Antibes-Juan les Pins, France, 444–449
Nikolakopoulos G, Panousopoulou A, Tzes A, Lygeros J (2007) Multihopping induced gain scheduling for wireless networked controlled systems. Asian J Control, to appear; a shorter version appears in Proc 44th IEEE Conf Decision and Control, Seville, Spain, 470–475
Overstreet J, Tzes A (1999) An internet-based real time control engineering laboratory. IEEE Control Systems Magazine 99:19–34
Ray A, Halevi Y (1988) Integrated communication and control systems: part IIdesign considerations. J Dynamic Systems, Measurement and Control 110:374–381
Recht B, Andrea R (2004) Distributed control of systems over discrete groups. IEEE Trans Automatic Control 49:1446–1542
Sweet C, Sidhu D (1999) Perfomance Analysis of the IEEE 802.11 wireless standard. In: Proc IEEE Global Telecommunications Conference, Rio de Janeiro, Brazil
Tipsuwan Y, Chow M (2003) Control methodologies in networked control systems. Control Engineering Practice 11:1099–1111
Tzes A, Nikolakopoulos G, Koutroulis I (2005) Development and experimental verification of a mobile client-centric networked controlled system. European J Control 11:229–241
Walsh GC, Ye H, Bushnell L (2002) Stability analysis of networked control systems. IEEE Trans Control Systems Technology 10:438–446
Weinmann A (1991) Uncertain models and robust control. Springer Verlag New York
Wong WS, Brockett R (1999) Systems with finite communication bandwidth constraints-II: stabilization with limited information feedback. IEEE Trans Automatic Control 44:1049–1053
Yoon J, Liu M, Noble B (2003) Random waypoint model considered harmful. In: Proc International Conference on Mobile Computing and Networking, San Diego, CA, 1312–1321
Zhang J, Knopse C, Tsiotras P (2001) Stability of time-delay systems: equivalence between Lyapunov and scaled small gain conditions. IEEE Trans Automatic Control 46:482–486
Zheng J, Lee M (2004) A comprehensive study of IEEE 802.15.4. IEEE Press, New York
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Nikolakopoulos, G., Panousopoulou, A., Tzes, A. (2008). Switched Feedback Control for Wireless Networked Systems. In: Wang, FY., Liu, D. (eds) Networked Control Systems. Springer, London. https://doi.org/10.1007/978-1-84800-215-9_6
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DOI: https://doi.org/10.1007/978-1-84800-215-9_6
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