Abstract
AbstractThis work deals with the control of continuous-time MIMO (Multiple Input Multiple Output) time-delay processes having multiple disturbances acting on the process outputs. Such disturbances possess time delays that can be modeled using the Laplace operator. A discrete-time PI (Proportional Integral) LQG (Linear Quadratic Gaussian) controller is designed to control such time-delay processes. As a matter of fact, an LQG controller results from the combination of an LQR (Linear Quadratic Regulator) controller with a Kalman filter to estimate process states. An LQR controller is selected for the following reasons. First, such a controller secures an infinite gain margin and a phase margin of about 60 \(^\circ \)C. Consequently, robustness and disturbance rejection ability are some of the characteristics of an LQR controller. Intensive simulation studies related to the application of the proposed approach on benchmark time-delay processes demonstrate that the outputs of MIMO processes can be controlled simultaneously despite the presence of disturbances possessing time delays, which are acting on the process outputs.KeywordsMIMO time-delay processLQG controlDiscrete-time PI LQG controlKalman filter
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