Rational /spl Lscr//sub 1/ compensators with /spl Hscr//sub /spl infin// constraints

This paper presents a rational /spl Lscr//sub 1/ and mixed /spl Lscr//sub 1///spl Hscr//sub /spl infin// compensator design methodology for continuous time systems. The problem formulation involves finding a finite dimensional stabilizing feedback controller that minimizes the /spl Lscr/1 norm of a...

Full description

Saved in:
Bibliographic Details
Published inProceedings of 1995 34th IEEE Conference on Decision and Control Vol. 1; pp. 809 - 814 vol.1
Main Authors Xin Chen, Wen, J.T.
Format Conference Proceeding
LanguageEnglish
Published IEEE Control Systems Society 1995
Subjects
Control systems
Convolution
Energy measurement
Hafnium
Linear feedback control systems
Output feedback
State feedback
State-space methods
Transfer functions
Online AccessGet full text
ISBN0780326857
9780780326859
ISSN0191-2216
DOI10.1109/CDC.1995.479081

Cover

More Information
Summary:This paper presents a rational /spl Lscr//sub 1/ and mixed /spl Lscr//sub 1///spl Hscr//sub /spl infin// compensator design methodology for continuous time systems. The problem formulation involves finding a finite dimensional stabilizing feedback controller that minimizes the /spl Lscr/1 norm of a closed-loop transfer matrix subject to a frequency domain /spl Hscr//sub /spl infin// norm constraint on another closed-loop transfer matrix. It is shown that for a one-block problem the optimal solution can be approximated arbitrarily closely in terms of the closed-loop /spl Lscr//sub 1/ norm, by solving a sequence of convex optimization problems over linear matrix inequalities. Numerical example is provided to demonstrate the effectiveness of this approach.
ISBN:0780326857
9780780326859
ISSN:0191-2216
DOI:10.1109/CDC.1995.479081