Low-order controller design for model matching optimization using coprime factors and LMI

Develops an algorithm to design low-order controllers for solving the model-matching problem of multi-input, multi-output (MIMO) systems. It extends a method proposed previously for single-input, single-output (SISO) systems. The design method requires only the solution of a convex optimization problem. The technique integrates several well-known results in control theory. An important step is the use of coprime factors so that based on strictly positive real (SPR) functions, feedback stabilization using MIMO low-order controllers becomes testing the feasibility of a convex programming problem. An LV100 engine model matching design is used to demonstrate the algorithm.