Optimal decoupled control of two-input two-output systems

One of the situations where significant problems may arise in two-input two-output (TITO) systems is the existence of interactions with cross-couple of inputs and outputs. This situation may be challenging especially for the system analysis in process control. As long as the condition that the system should be decoupled is met, control problems to be investigated for this kind of systems become meaningful. This study deals with the design of non-interacting dynamic diagonal controllers for two-input two-output systems. Here, it is aimed to obtain the needed filter for decoupling and then to design the controller to satisfy the necessary specifications. The decoupling filter and controller design procedure for disturbance attenuation and reference tracking is defined via general control configuration. Here, the main objective of the study is to keep the system decoupled where an optimal controller is designed to increase the reference tracking and disturbance attenuation performance of the overall closed loop system. The efficiency and success of the proposed method is illustrated via simulation studies.