Low-order robust power system stabilizer for single-machine systems: an LMI approach

This paper describes a linear matrix inequality (LMI) approach to the design of low-order power system stabilizers (PSSs), which are used to damp out local-mode oscillations of synchronous generators. The performance of a PSS is expressed as the location of the closed-loop poles, and a single fixed-gain pole-placement controller is synthesized for a wide range of operating conditions. The synthesis results in simultaneous regional pole-placement stabilization through static output feedback, and it is formulated as an LMI feasibility problem with a rank condition. The rank-constrained LMI problem is solved by the recently developed iterative penalty function method. Numerical experiments with a single machine connected to an infinite bus system were performed to demonstrate the proposed LMI method