Quantization and Coding for Decentralized LTI Systems

Serdar Yüksel, Tamer Başar

Research output: Contribution to journalConference article

Abstract

We study the communication rate requirements for centralized and decentralized control schemes when the plant and the controller are connected via a noiseless bandlimited channel. We introduce recursive quantizers that achieve monotonic boundedness and exponential stability of the worst-case state estimation error with minimum rate. Rate requirements for centralized schemes are shown to be lower than those for decentralized schemes. A quantification of the information sharing between the controllers, such as full, instant, and one-step delayed information sharing, is shown to crucial for communication requirements and complexity. Slepian-Wolf coding argument is used to show that information sharing by the controllers, and not by the plants, is sufficient to achieve the lower bound on the rate, and schemes confirming this efficiency are constructed. It is also shown that delay in communication between the controllers leads to higher rate requirements between the controllers and the plants.

Original languageEnglish (US)
Pages (from-to)2847-2852
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
StatePublished - Dec 1 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: Dec 9 2003Dec 12 2003

Fingerprint

Decentralized
Quantization
Coding
Information Sharing
Controller
Controllers
Requirements
Communication
Decentralized control
Decentralized Control
State Estimation
State estimation
Estimation Error
Exponential Stability
Asymptotic stability
Instant
Monotonic
Quantification
Boundedness
Sufficient

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Quantization and Coding for Decentralized LTI Systems. / Yüksel, Serdar; Başar, Tamer.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 3, 01.12.2003, p. 2847-2852.

Research output: Contribution to journalConference article

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