Robust control in the gap: a state-space solution in the presence of a single input delay

Author

Tadmor, Gilead

Author_Institution

Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA

Volume

42

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

1330

Lastpage

1335

Abstract

A solution is provided to the problem of (sub)optimal robust design in the gap for a system with a single input lag. The problem is shown to reduce to two matrix algebraic Riccati equations that solve an allied linear-quadratic-Gaussian/H₂ problem and a parameterized differential matrix Riccati equation. The analysis intertwines finite-dimensional delay equations and distributed abstract evolution models. The parameterized family of suboptimal compensators is presented in terms of a neutral equation model

Keywords

H^∞ control; Riccati equations; control system synthesis; delays; differential equations; linear quadratic Gaussian control; matrix algebra; robust control; state-space methods; suboptimal control; allied linear-quadratic-Gaussian/H₂ problem; distributed abstract evolution models; finite-dimensional delay equations; matrix algebraic Riccati equations; neutral equation model; parameterized differential matrix Riccati equation; robust control; single input delay; single input lag; state-space solution; suboptimal compensation; suboptimal robust design; Cost function; Delay systems; Differential algebraic equations; Differential equations; Distributed parameter systems; Matrices; Riccati equations; Robust control; Robustness; Time domain analysis;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.623103

Filename

623103