LMI approach to normalised [Hamiltonian (script capital H)]∞ loop-shaping design of power system damping controllers

Application of the normalised ℋ∞ loop-shaping technique for design and simplification of damping controllers in the LMI framework is illustrated. A linearised model of the power system is pre- and post-compensated using the loop-shaping approach. The problem of robust stabilisation of a normalised coprime factor plant description is translated to a generalised ℋ∞ problem. The solution is sought numerically using LMIs with additional pole-placement constraints. This ensures that the time-domain specifications are met besides robust stabilisation.