Controlling the discrete‐time conic‐type nonlinear system by a time‐delayed robust H∞ controller

Summary This paper investigates the robust H∞ controller design problem for a class of discrete‐time conic‐type nonlinear systems with time delays and uncertainties. We aim to design a time‐delayed feedback control law such that the closed‐loop conic‐type nonlinear system is asymptotically stable an...

Full description

Saved in:
Bibliographic Details
Published inOptimal control applications & methods Vol. 41; no. 2; pp. 369 - 380
Main Authors Dong, Xuefei, He, Shuping
Format Journal Article
LanguageEnglish
Published Glasgow Wiley Subscription Services, Inc 01.03.2020
Subjects
conic‐type nonlinear system
Control systems design
Controllers
discrete‐time
Feedback control
H-infinity control
H∞ controller
Liapunov functions
Linear matrix inequalities
Mathematical analysis
Nonlinear systems
Performance indices
Robust control
time delays
uncertainties
Online AccessGet full text

Cover

More Information
Summary:Summary This paper investigates the robust H∞ controller design problem for a class of discrete‐time conic‐type nonlinear systems with time delays and uncertainties. We aim to design a time‐delayed feedback control law such that the closed‐loop conic‐type nonlinear system is asymptotically stable and satisfies the given H∞ performance index from the controlled output to the external disturbance. By selecting a proper Lyapunov function, sufficient conditions related to the H∞ stabilization are formulated in the form of linear matrix inequalities. Finally, a simulation example is employed to demonstrate the effectiveness of the proposed methods.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2547