Output feedback pole assignment under system variation

Abstract

AbstractThe design of multivariable control systems using pole assignment has resulted in much research. Owing to system or parameter variation, the initial compensator design for constant conditions may lead to undesirable responses. Hence, it is important to design compensator structures which maintain desired pole locations under such changes.This paper presents a design methodology for output feedback pole assignment when there is system variation. A performance measure is formulated which represents a squared‐error between desired pole locations and the actual pole locations generated via compensation under probabilistic variations. Optimization of this measure requires constructing gradient matrices necessary to obtain the compensator parameters.Both constant output feedback and dynamic compensation are discussed for pole placement, and the unstable Boeing‐Vertol CH‐46 helicopter system is considered to illustrate the design algorithms.