Stability analysis of networked control systems subject to packet-dropouts and finite-level quantization

• Published in: Systems & control letters Vol. 60; no. 5; pp. 325 - 332
• Main Authors: Ishido, Yumiko, Takaba, Kiyotsugu, Quevedo, Daniel E.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.05.2011; Elsevier
• Subjects: Applied sciences; Attenuation; Buffering; Channels; Communication systems; Computer science; control theory; systems; Computer systems and distributed systems. User interface; Control system analysis; Control systems; Control theory. Systems; Disturbances; Exact sciences and technology; Finite-level quantization; Networked control systems; Packet-dropouts; Process control. Computer integrated manufacturing; Quantization; Software; Stability analysis; Tradeoffs; Finite-level quantization; Packet-dropouts; Stability analysis; Networked control systems; Buffering; Disturbance rejection; Small signal; Lossy channel; Distributed system; Signal quantization; Network analysis; Distributed control; Quantifier; Preconditioning
• ISSN: 0167-6911; 1872-7956
• DOI: 10.1016/j.sysconle.2011.02.008

This paper is concerned with the stability analysis of a networked control system, wherein communication from the controller to the plant input is through a digital channel subject to packet-dropouts and finite-level quantization. No acknowledgments of receipt are available to the controller. To alleviate the effect of packet-dropouts, the controller transmits tentative plant input sequences. Within this setup, we derive a sufficient condition for small ℓ ∞ signal ℓ ∞ stability of the networked control system. This condition requires the maximum number of consecutive packet-dropouts to be bounded. We also elucidate the trade-off which exists between the disturbance attenuation and the step size of the quantizer and the maximum number of consecutive packet-dropouts.