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Partial pole placement for systems with controller optimization in QMI region

This paper proposed a regional pole placement approach for vehicle system with full-order state observer in the quadratic matrix inequality (QMI) region, the critical poles will be placed precisely at the desired locations while the left non-critical poles can be put in a flexible region as long as they do not lose stability. The problem is a nonlinear matrix equality problem and we translate it into two liner matrix inequality (LMI) problems and use an iterative strategy to reduce the conservatism. Finally, simulation results validate the proposed method.