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Design of low order dynamic pre-compensators using convex methods

Pre-compensators are used in multivariable control systems to reduce (or eliminate) open loop system interactions. Classical methods for the design of pre-compensator are traditionally based on static designs. Static pre-compensators are preferred for their simplicity, but are highly unsystematic in the amounts of achievable diagonal dominance. In many applications, only the more powerful dynamic pre-compensators are able to deliver the desired amounts of decoupling. This paper proposes a new method for the design of dynamic precompensators which is based on a Quadratic Programming (QP) optimization. Using the proposed approach the total pre compensator is found through several smaller optimization problems, one for each column. The application and effective ness of the QP dynamic design is demonstrated on a Distributed Generation unit (DG) case study.