Controller Design Using Linear Programming - Texas A&M University (TAMU) Scholar

Abstract This paper deals with the problem of designing a feedback controller, of a prescribed order, for a fixed plant, as well as for an uncertain family of plants containing parameter uncertainty, so that stability, robust stability and robust performance are attained. The desired closed loop specifications considered here are given in terms of a target closed loop system. In general point targets are generically unattainable with a fixed order controller. By enlarging the target from a fixed point set to an interval set the solvability conditions with a fixed order controller are relaxed and a solution is enabled. It is shown that it is possible to devise a simple linear programming problem formulation that attempts to meet the desired closed loop specifications. Both transfer function and state space approaches are described. Numerical examples will be given in the presentation.

Controller Design Using Linear Programming Conference Paper