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AvailableAvailable online online at at
Procedia
Engineering
ProcediaProcedia Engineering Engineering 00 (2011) 24 (2011) 000–000 551 – 557
/locate/procedia
2011 International Conference on Advances in Engineering
Stability of Uncertain Networked Control Systems
Jiandong Suna, Jing-ping Jianga a*
aCollege of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
Abstract
When time-delay and data packet dropout are bounded, the networked control systems (NCSs) can be modeled as a
class of systems with time-varying input delay. Based on Lyapunov-Krasovskii theorem, sufficient conditions in
terms of linear matrix inequality (LMI) for the asymptotic stability of the nominal systems and uncertain systems are
derived by the free weighting matrix approach. An integral term of Lyapunov functional derivative is reasonably
transformed by Moon’s inequality and Newton-Leibniz formula in this paper, while it is commonly ignored in most
of the previous literatures, so less conservative results are obtained. The effectiveness of the criteria and algorithm are
proved through numerical examples. The simulation results show that the system conservativeness is reduced
significantly.
? 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of ICAE2011.
Keywords: Networked control systems; Parameter uncertainty; Time-varying delay; Lyapunov functional; Linear matrix inequality
1. Introduction
Feedback control systems wherein the control loops are closed through networks like Internet are
called networked control systems (NCSs). Compared to the point-to-point architecture
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