Automated Synthesis of Fixed Structure QFT Prefilter Using Piecewise Linear Approximation based Linear Programming Optimization Techniques

Prefilter synthesis is one of the important design steps of Horowitz's quantitative feedback theory (QFT) to robust feedback system synthesis. The prefilter is designed to achieve tracking specifications. In this paper, a new, computationally efficient approach for automation of the prefilter design step is proposed. A linear programming based algorithm is proposed for the automatic synthesis of fixed structure QFT prefilter. In present work, prefilter synthesis problem is posed as a piecewise linear approximation based linear programming problem and solved with GUROBI optimizer solver. The proposed method is validated using a benchmark problem and a simple, low order prefilter is obtained in quick time.