Compensatability and optimal compensation under randomly varying distributed delays

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