Robust Static Output Feedback Stabilization of Linear Systems Using Dissipativity Theory

Valessa V. Viana; Diego de S. Madeira

doi:10.20906/sbai.v1i1.2552

Valessa V. Viana Department of Electrical Engineering, Federal University of Ceará
Diego de S. Madeira Department of Electrical Engineering, Federal University of Ceará

DOI: https://doi.org/10.20906/sbai.v1i1.2552

Keywords: Static output feedback, Robust control, Linear systems, Dissipativity

Abstract

This paper deals with robust static output feedback (SOF) stabilization of linear time-invariant (LTI) systems with transient performance. The proposed approach considers uncertainties on the system matrices and does not impose any constraints on the output matrix. We use the definition of strict QSR-dissipativity to formulate new sufficient conditions in the form of linear matrix inequalities (LMIs) for asymptotic stabilization. One of the main advantages of the developed strategy is that it provides a solution for the static output feedback design in a non-interactive manner. Numerical examples highlight the effectiveness of the proposed approach.