Abstract
This paper presents the Generalized Linear Fractional Transformation (LFT) modeling for a dynamic multi-input-multi-output (MIMO) system. A compact mathematical framework that is suitable for implementing robust control theory to achieve certain performance specification even in the presence of plant uncertainty and disturbance. The generalize modeling structure has been introduced depending on the system dynamics, dimension of input-output and real parametric uncertainties entering rationally in the system matrices. A generic linear coupled dynamic multi-variable system consisting of an equal number of input-output has been considered to illustrate the proposed LFT modeling algorithm, which is suitable for a large class of model structures. Proposed modeling algorithm has been implemented in a Two-DOF mass-spring-dashpot dynamic system to verify the effectiveness of generic LFT modeling structure. Prescribed LFT modeling of Two-DOF mass-spring-dashpot has been verified by implementing frequency domain uncertain model validation based on H∞-control law.
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