T. Iwasaki et Re. Skelton, ALL FIXED-ORDER H-INFINITY CONTROLLERS - OBSERVER-BASED STRUCTURE ANDCOVARIANCE BOUNDS, IEEE transactions on automatic control, 40(3), 1995, pp. 512-516
Citations number
18
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
This note obtains a parameterization of the set of all stabilizing con
trollers of order less than or equal to the plant, which yields for th
e closed-loop transfer matrix a specified Hr norm hound. The algebraic
results of covariance control are applied to the H-infinity control p
roblem to yield a parameterization in terms of the Lyapunov matrix, wh
ich carries many system properties (such as H-2 performance, covarianc
e bounds, system entropy at infinity etc.). All low-order H-infinity c
ontrollers are shown to have observer-based structure for ''reduced-or
der models'' of the plant and are characterized by two Riccati equatio
ns with a coupling condition.