In many real-time distributed control systems such as those for advanced aircraft, spacecraft, and autonomous manufacturing plants, the sensor and control signals within a feedback loop are subjected to delays induced by multiplexed data communication networks. From this perspective, algorithms for synthesizing multivariable discrete-time control systems with induced delays have been formulated by stochastic and deterministic approaches. In the stochastic approach, a linear quadratic stochastic regulator was proposed to account for the randomly varying distributed delays in the closed loop system, which was then improved by a stochastic estimator for output feedback control. In the deterministic approach, a multi-step delay compensator was proposed, assuming that the sensor, controller and actuator have a constant and identical sampling period T, and the randomly varying delays in the closed loop system are bounded.;This dissertation focuses on improvement of performance and stability robustness of the multi-step delay compensator. The specifications for performance and stability robustness are expressed as matrix-valued functions of frequency. Three algorithms are proposed to minimize the H... |