H2 and H∞ control of discrete systems with time scales

Author

Mahmoud, Magdi S.

Author_Institution

Syst. Eng. Dept., KFUPM, Dhahran, Saudi Arabia

fYear

2014

fDate

15-17 Nov. 2014

Firstpage

28

Lastpage

32

Abstract

This paper addresses the feedback control design problem for a wide class of discrete-time systems possessing fast and slow modes. The slow and fast subsystems are considered to be completely controllable and observable. Based on the H_∞ optimization criteria, a two-stage design procedure is developed using separate gain matrices for the fast and slow subsystems and computed using linear matrix inequalities. A composite control is designed to yield first-order approximations to the behavior of the discrete system. A typical application is presented to illustrate the design procedure.

Keywords

H^∞ control; H^∞ optimisation; H² control; control system synthesis; discrete time systems; feedback; linear matrix inequalities; H∞ control; H∞ optimization criteria; H₂ control; composite control design; discrete-time systems; feedback control design problem; first-order approximations; gain matrices; linear matrix inequalities; Approximation methods; Discrete-time systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Stability analysis; Symmetric matrices; Trajectory; Composite control; Discrete systems; Time-scale modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Informatics (ICSAI), 2014 2nd International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4799-5457-5

Type

conf

DOI

10.1109/ICSAI.2014.7009254

Filename

7009254