Abstract
This chapter provides a formal analysis of nonlinear MB-NCS using nonlinear models. First, results for two common classes of continuous-time nonlinear MB-NCS are presented where periodic updates are implemented. Then, we study discrete-time nonlinear dissipative systems using output feedback measurements and event-based updates.
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References
P. Bauer, M. Schitiu, C. Lorand, K. Premaratne, Total delay compensation in LAN control systems and implications for scheduling, in Proceedings of the American Control Conference, 2001, pp. 4300–4305
G. Conte, A. M. Perdon, G. Vitaioli, Stabilization of nonlinear plants with sampled information, in Proceedings of the 49th IEEE Conference on Decision and Control, 2010, pp. 4746–4752
D. Georgiev, D. M. Tilbury Packet-based control in Proceedings of the American Control Conference, 2004, pp. 329–336
D.J. Hill, P.J. Moylan, The stability of nonlinear dissipative systems. IEEE T. Automat. Contr. 21(5), 708–711 (1976)
D.J. Hill, P.J. Moylan, Stability results of nonlinear feedback systems. Automatica 13(4), 377–382 (1977)
H.K. Khalil, Nonlinear Systems, 3rd edn. (Prentice-Hall, Upper Saddle River, 2002)
X. Liu, A model based approach to nonlinear networked control systems, PhD thesis, University of Alberta, 2009
M.J. McCourt, E. Garcia, P.J. Antsaklis, Model-based event-triggered control of nonlinear dissipative systems, in American Control Conference, 2014
L.A. Montestruque, Model-based networked control systems, Ph. D. Dissertation, University of Notre Dame, Notre Dame, IN, 2004
I.G. Polushin, P.X. Liu, C.H. Lung, On the model-based approach to nonlinear networked control systems. Automatica 44(9), 2409–2414 (2008)
D.E. Quevedo, E.I. Silva, G.C. Goodwin, Packetized predictive control over erasure channels, in Proceedings of the American Control Conference, 2007, pp. 1003–1008
J.C. Willems, Dissipative dynamical systems, Part I: General theory. Arch. Ration. Mech. An. 45(5), 321–351 (1972)
J.C. Willems, Dissipative dynamical systems Part II: Linear systems with quadratic supply rates. Arch. Ration. Mech. An. 45(5), 352–393 (1972)
H. Ye, A.N. Michel, L. Hou, Stability analysis of systems with impulse effects. IEEE T. Automat. Contr. 43(12), 1719–1723 (1998)
H. Yu, E. Garcia, P. J. Antsaklis, Model-based scheduling for networked control systems, in Proceedings of the American Control Conference, 2013, pp. 2350–2355
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Garcia, E., Antsaklis, P.J., Montestruque, L.A. (2014). Model-Based Nonlinear Control Systems. In: Model-Based Control of Networked Systems. Systems & Control: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-07803-8_7
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DOI: https://doi.org/10.1007/978-3-319-07803-8_7
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-07802-1
Online ISBN: 978-3-319-07803-8
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