SOLUTION TO THE POSITIVE REAL CONTROL PROBLEM FOR LINEAR TIME-INVARIANT SYSTEMS

Authors
SUN WQ KHARGONEKAR PP SHIM DS
Citation
Wq. Sun et al., SOLUTION TO THE POSITIVE REAL CONTROL PROBLEM FOR LINEAR TIME-INVARIANT SYSTEMS, IEEE transactions on automatic control, 39(10), 1994, pp. 2034-2046
Citations number
38
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
39
Issue
10
Year of publication
1994
Pages
2034 - 2046
Database
ISI
SICI code
0018-9286(1994)39:10<2034:STTPRC>2.0.ZU;2-H
Abstract
In this paper we study the problem of synthesizing an internally stabi lizing linear time-invariant controller for a linear time-invariant pl ant such that a given closed-loop transfer function is extended strict ly positive real. Necessary and sufficiency conditions for the existen ce of a controller are obtained. State-space formulas for the controll er design are given in terms of solutions to algebraic Riccati equatio ns (or inequalities). The order of the constructed controller does not exceed that of the plant.