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The problem of decoupling a linear system by dynamic compensation into multi-input multi-output subsystems is studied. The set of all controllers that decouple and stabilize the system is determined in a parametric form. Optimal and suboptimal decoupling controllers are then obtained by an appropriate selection of the parameters.
We propose two types of periodically weighted model-matching problem by linear periodically time-varying (LPTV) control for LTI plants. The causality constraint of LPTV controller is satisfied via a representation that we call dual lifted forms. We show the superiority of LPTV control to LTI control and demonstrate a design example.
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