An LMI based approach for velocity feedback vibration controller synthesis

This paper presents a linear matrix inequality (LMI) based approach combined with the cone complementarity algorithm for the synthesis of H/sub /spl infin// velocity feedback full/reduced order dynamic and static vibration controllers. The resulting controllers are considered to be decentralized and positive real. In order to form the necessary constraints, linear matrix inequalities (LMI) are used. Several examples are presented to demonstrate the results of the approach including the actual realization of the controller using dissipative elements.