A Unified Framework for Design and Analysis of Networked and Quantized Control Systems

• Published in: IEEE transactions on automatic control Vol. 54; no. 4; pp. 732 - 747
• Main Authors: Nesic, D., Liberzon, D.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.04.2009; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Algorithm design and analysis; Applied sciences; Automatic control; Communication system control; Computer science; control theory; systems; Computer systems and distributed systems. User interface; Construction; Control system analysis; Control system synthesis; Control systems; Control theory. Systems; Design engineering; Exact sciences and technology; Lyapunov functions; Lyapunov method; Networked control systems; Networked control systems (NCS); Process control. Computer integrated manufacturing; Protocols; Quantization; quantized control systems (QCS); Scheduling; Sensor systems; Software; Stability; Networked control systems (NCS); quantized control systems (QCS); Control synthesis; Finite automaton; Emulator; Scheduling; Distributed system; Exponential stability; Signal quantization; Quantized signal; Global stabilization; Distributed control; Lyapunov function
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2009.2014930

We generalize and unify a range of recent results in quantized control systems (QCS) and networked control systems (NCS) literature and provide a unified framework for controller design for control systems with quantization and time scheduling via an emulation-like approach. A crucial step in our proofs is finding an appropriate Lyapunov function for the quantization/time-scheduling protocol which verifies its uniform global exponential stability (UGES). We construct Lyapunov functions for several representative protocols that are commonly found in the literature, as well as some new protocols not considered previously. Our approach is flexible and amenable to further extensions which are briefly discussed.