Input-Output Stability of Networked Control Systems With Stochastic Protocols and Channels

This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform persistency of excitation of protocols first presented in the Proceedings of the 44th IEEE Conference on Decision and Control. Our framework applies d...

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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 53; no. 5; pp. 1160 - 1175
Main Authors: Tabbara, M., Nesic, D.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.06.2008
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Access protocols
Applied sciences
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Control systems
Control theory. Systems
Ethernet networks
Exact sciences and technology
Gain
Multiaccess communication
Networked control systems
Networked control systems (NCS)
Process control. Computer integrated manufacturing
protocols
Software
Stability
Stochastic processes
Stochastic systems
Studies
Wireless application protocol
Multiple access
Packet switching
Input-output stability
Probabilistic approach
Networked control systems (NCS)
Collision
Transmission protocol
Lyapunov method
Distributed system
Stochastic system
Transmission time
Uncertain system
Analog
Ethernet
Distributed control
Network protocol
stochastic systems
Stochastic control
Wireless network
Access protocol
protocols
Deterministic approach
Lyapunov function
ISSN:0018-9286, 1558-2523
Online Access:Get full text
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Summary:This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform persistency of excitation of protocols first presented in the Proceedings of the 44th IEEE Conference on Decision and Control. Our framework applies directly to common wireless and wireline NCS, including those built on carrier-sense multiple access (CSMA) style protocols, with Ethernet and 802.11a/b/g as prime examples of this class. We present conditions for a general class of nonlinear NCS with exogenous disturbances using stochastic protocols in the presence of packet dropouts, random packet transmission times and collisions that are sufficient for L P stability from exogenous disturbance to NCS state with a linear finite expected gain. Within the same framework, we extend the results of Nesic and Teel (see IEEE Trans. Autom. Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004) to provide an analysis of deterministic protocols, including try-once-discard (TOD), in the presence of random packet dropouts and intertransmission times and provide a stochastic analog of the Lyapunov-theoretic stability properties for network protocols introduced therein.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2008.923691