Multiple objective control system synthesis via lifting techniques

Monty Jarrod Smith, Purdue University

Abstract

The design of control systems from an interpolation viewpoint has a long and rich history. In this thesis, the synthesis of feedback compensation will be accomplished using lifting techniques on interpolation type problems. The primary objective will be to convert the control synthesis problem into an interpolation type setting where lifting techniques will then be used to carry out the design process. Multiple performance objectives with respect to the $\rm H\sp2$ and $\rm H\sp{\infty}$ errors on the resulting closed loop transfer function are obtained with some interesting weights inherent from the construction. The earlier chapters emphasize discrete event systems with some strong stabilization (stable compensation) results presented for single input and single output systems. The latter part of this thesis is restricted to continuous time systems with some interesting $\rm H\sp2$ and $\rm H\sp{\infty}$ bounds obtained for the Sarason and Nevanlinna-Pick interpolation problems. Algorithms associated with the theoretical results developed in this thesis are applied to a drone aircraft example.

Degree

Ph.D.

Advisors

Frazho, Purdue University.

Subject Area

Aerospace materials

COinS