A unified approach to fixedorder controller design via linear matrix inequalities
Academic Article

 Overview

 Identity

 Additional Document Info

 View All

Overview
abstract

We consider the design of fixedorder (or loworder) linear controllers which meet certain performance and/or robustness specifications. The following three problems are considered; covariance control as a nominal performance problem, 2stabilization as a robust stabilization problem, and robust L ∞ control problem as a robust performance problem. All three control problems are converted to a single linear algebra problem of solving a linear matrix inequality (LMI) of the type BGC + (BGC) T + Q < 0 for the unknown matrix G. Thus this paper addresses the fixedorder controller design problem in a unified way. Necessary and sufficient conditions for the existence of a fixedorder controller which satisfies the design specifications for each problem are derived, and an explicit controller formula is given. In any case, the resulting problem is shown to be a search for a (structured) positive definite matrix X such that X ∊C 1 , and X 1 ∊ C 2 where C 1 and C 2 are convex sets defined by LMIs. Computational aspects of the nonconvex LMI problem are discussed. © 1995, OPA (Overseas Publishers Association).
author list (cited authors)

Iwasaki, T., & Skelton, R. E.
citation count
publication date
publisher
published in
Identity
Digital Object Identifier (DOI)
Additional Document Info
start page
end page
volume
issue