Compensatability and optimal compensation under randomly varying distributed delays

1 January 1999

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 72 (9) , 826-832
https://doi.org/10.1080/002071799220740

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 randomly varying delays from sensor to controller and from controller to actuator as well as the time skew caused by missynchronization of sensor and controller sampling instants. These conditions are derived on the basis of the concepts of stabilizability, detectability and compensatability in the mean square sense. In the absence of random delays from sensor to controller and from controller to actuator, it has been shown that LQCDC problems reduce to the classical Linear Quadratic Gaussian (LQG).

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