Abstract

RIOS-BOLIVAR, Addison; HIDROBO, Francisco  and  SUAREZ, Julián. Robust control by extended static output feedback. Rev. Téc. Ing. Univ. Zulia [online]. 2011, vol.34, n.3, pp.255-262. ISSN 0254-0770.

This paper presents a novel approach for the controller synthesis in linear time invariant systems (LTI) with uncertainty polytopical type, by means of the extended static feedback of the measured output. The method consists of designing feedback gains for the injection of the output and its derivative, which corresponds to the control signal. Conditions for the existence of such controllers are established. The uncertainty parameters are supposed to belong to a polytope. The stabilization problem is formulated in the context of linear matrix inequalities (LMI). Multiobjective performance indices in H2/H& are also considered, which are described as LMIs. The extended H2/H& conditions are obtained by means of the well known projection lemma. Performance of the proposed synthesis technique is illustrated by numerical example.

Keywords : Static output feedback; robust control; polytopical uncertainty; linear matrix inequalities (LMI); H2/H& norms.