Design of Networked Control Systems With Packet Dropouts

• Published in: IEEE transactions on automatic control Vol. 52; no. 7; pp. 1314 - 1319
• Main Authors: Wu, Jing, Chen, Tongwen
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.07.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Automatic control; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control systems; Control theory. Systems; Cost function; Design engineering; Dropouts; Exact sciences and technology; History; Laws; Linear matrix inequalities; Linear systems; Markov chains; Mathematical models; Networked control systems; networked control systems (NCSs); packet dropout; Process control. Computer integrated manufacturing; Real time systems; Stability; stochastic stability; Stochastic systems; Stochasticity; Switching systems; Packet switching; Linear form; packet dropout; Measurement sensor; Control program; Control synthesis; Markov chains; Stochastic stability; Distributed system; networked control systems (NCSs); Behavior model; Modeling; Markov chain; Distributed control; Linear matrix inequality; Actuator
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2007.900839

This note is concerned with stability and controller design of networked control systems (NCSs) with packet dropouts. New NCS models are provided considering both single- and multiple-packet transmissions. Both sensor-to-controller (S/C) and controller-to-actuator (C/A) packet dropouts are modeled and their history behavior is described by different independent Markov chains. In term of the given models, sufficient conditions for stochastic stability are derived in the form of linear matrix inequalities (LMIs) and corresponding control laws are given. Numerical examples illustrate the effectiveness of the results.