Output Feedback Controller Design for Discrete LTI Systems with Polytopic Uncertainty via Direct Searching of the Design Space

Roozbeh Abolpour, Maryam Dehghani & Heidar Ali Talebi
This paper concerns static output feedback stabilization of polytopic discrete LTI systems. The previous related studies were mainly based on LMI approaches which are naturally conservative. In this paper, a novel design algorithm is presented that iteratively partitions a primary design space to subspaces. Then, by assessing stabilizability status of each generated subspace, the algorithm determines the total stabilizable parts and removes the undesired parts of the design space. Mathematical theories are developed to predict...
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