Robust Decentralized Structure - Constrained Controller Design for Power Systems: an Lmi Approach

This paper presents a linear matrix inequality (LMI) approach for designing a robust decentralized structure constrained controller for power systems. The problem of designing a fixed-structure H2/H∞ dynamic output feedback controller is first reformulated as an extension of a static output feedback controller design problem for the extended system. The resulting optimization problem has bilinear matrix inequalities (BMIs) form which is solved using an iterative LMIs programming method. The approach is demonstrated by designing fixed-structure power system stabilizer (PSS) controllers on a four machine test power system so as to determine the optimal parameters. The paper also presents algorithms for solving the iterative LMI programming problem to determine (sub)-optimally the PSSs parameters.