Compensatability and optimal compensation under randomly varying distributed delays

Nan Chyuan Tsai, Asok Ray

Research output: Contribution to journalConference article

Abstract

This paper establishes necessary and sufficient conditions for existence, uniqueness, and global optimality of the Linear Quadratic Coupled Delay Compensator (LQCDC) which is designed to circumvent the detrimental effects of the randomly varying delays from sensor to controller and from controller to actuator as well as the time skew caused by mis-synchronization of sensor and controller sampling instants. These conditions are derived based on the concepts of stabilizability, detectability and compensatability in the mean square sense. In the absence of random delays, from sensor to controller and controller to actuator, it has been shown that LQCDC problems reduce to the classical Linear Quadratic Gaussian (LQG).

Original languageEnglish (US)
Pages (from-to)772-777
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - Dec 1 1998
EventProceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA
Duration: Dec 16 1998Dec 18 1998

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Distributed Delay
Controller
Controllers
Compensator
Sensor
Actuator
Sensors
Actuators
Global Optimality
Detectability
Stabilizability
Instant
Mean Square
Skew
Synchronization
Existence and Uniqueness
Compensation and Redress
Sampling
Necessary Conditions
Sufficient Conditions

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "This paper establishes necessary and sufficient conditions for existence, uniqueness, and global optimality of the Linear Quadratic Coupled Delay Compensator (LQCDC) which is designed to circumvent the detrimental effects of the randomly varying delays from sensor to controller and from controller to actuator as well as the time skew caused by mis-synchronization of sensor and controller sampling instants. These conditions are derived based on the concepts of stabilizability, detectability and compensatability in the mean square sense. In the absence of random delays, from sensor to controller and controller to actuator, it has been shown that LQCDC problems reduce to the classical Linear Quadratic Gaussian (LQG).",
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Compensatability and optimal compensation under randomly varying distributed delays. / Tsai, Nan Chyuan; Ray, Asok.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 1, 01.12.1998, p. 772-777.

Research output: Contribution to journalConference article

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