Solution to the positive real control problem for linear time-invariant systems

Author

Sun, Weiqian ; Khargonekar, Pramod P. ; Shim, Duksun

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

39

Issue

10

fYear

1994

fDate

10/1/1994 12:00:00 AM

Firstpage

2034

Lastpage

2046

Abstract

In this paper we study the problem of synthesizing an internally stabilizing linear time-invariant controller for a linear time-invariant plant such that a given closed-loop transfer function is extended strictly positive real. Necessary and sufficient conditions for the existence of a controller are obtained. State-space formulas for the controller design are given in terms of solutions to algebraic Riccati equations (or inequalities). The order of the constructed controller does not exceed that of the plant

Keywords

closed loop systems; control system synthesis; linear systems; optimal control; stability; state-space methods; H_∞ control; algebraic Riccati equations; closed-loop transfer function; inequalities; internal stabilization; linear time-invariant systems; necessary conditions; positive real control; state-space; sufficient conditions; Books; Control system synthesis; Control systems; Control theory; Output feedback; Riccati equations; Robust control; Sufficient conditions; Sun; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.328822

Filename

328822