Central suboptimal H∞ controller design for linear systems with unknown parameters

This paper presents the central finite-dimensional H ∞ controller for linear systems with unknown parameters, that is suboptimal for a given threshold γ with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previo...

Full description

Saved in:
Bibliographic Details
Main Authors: Basin, M, Soto, P, Calderon-Alvarez, D
Format: Conference Proceeding
Language:English
Subjects:
Attenuation
Equations
Linear systems
Mathematical model
Regulators
Vectors
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents the central finite-dimensional H ∞ controller for linear systems with unknown parameters, that is suboptimal for a given threshold γ with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, the paper reduces the original H ∞ controller problem to the corresponding H 2 controller problem, using the technique proposed in [1]. The paper yields the central suboptimal H ∞ controller for linear systems with unknown parameters in a closed finite-dimensional form, based on the corresponding H 2 controller obtained in [17]. Numerical simulations are conducted to verify performance of the designed central suboptimal controller for uncertain linear systems with unknown parameters against the conventional central suboptimal H ∞ controller for linear systems with exactly known parameter values.
ISSN:2158-9860
2158-9879
DOI:10.1109/ISIC.2010.5612906