Input-to-State Stability for Networked Predictive Control With Random Delays in Both Feedback and Forward Channels

The input-to-state stability (ISS) for a class of networked control systems with random delays and packet dropouts appearing simultaneously in both feedback and forward channels is thoroughly investigated in this paper. A new network predictive controller scheme is introduced in order to compensate...

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Bibliographic Details
Published in:IEEE transactions on industrial electronics (1982) 2014-07, Vol.61 (7), p.3519-3526
Main Authors: Sun, Xi-Ming, Wu, Di, Liu, Guo-Ping, Wang, Wei
Format: Article
Language:English
Subjects:
Actuators
Channels
Control synthesis
Control systems
Delay
Delays
Dropouts
Feedback
input-to-state stability (ISS)
International Space Station
Linear systems
networked control systems (NCSs)
networked predictive controller
Packet transmission
Predictive control
Quantization (signal)
random delays
Stability
Stability criteria
Systems stability
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Summary:The input-to-state stability (ISS) for a class of networked control systems with random delays and packet dropouts appearing simultaneously in both feedback and forward channels is thoroughly investigated in this paper. A new network predictive controller scheme is introduced in order to compensate the effect of transmission delays and packet dropouts. By making use of the small gain theorem, the stability criteria of the considered new system are derived. The proposed stability conditions are fairly easy to check and considerably less conservative than the existing ones. These criteria reveal that, if the original linear systems are controllable and observable, then, by adopting the proposed networked-predictive-control scheme, the ISS properties can be guaranteed for the overall system despite the effects of networking such as transmission bounded delays, packet dropouts, and possible disturbance inputs. When no disturbance inputs occur, the system stability can be guaranteed for random delays with a certain bound or else for any large constant delays. Results for two illustrative examples are given to validate the proposed control scheme, the second one being a laboratory-scale dc-motor rig.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2013.2278953