标题:
Delay-Dependent Robust H∞ Control for Uncertain 2-D Discrete State Delay Systems Described by the General Model
作者:
Arun Kumar Singh, Akshata Tandon, Amit Dhawan
关键词:
2-D Discrete System, General Model, H∞ Control, Linear Matrix Inequality, State Delays, Uncertain System
期刊名称:
Circuits and Systems,
Vol.7 No.11,
September
13,
2016
摘要: This paper considers the
problem of delay-dependent robust optimal H∞ control for a class of uncertain two-dimensional
(2-D) discrete state delay systems described by the general model (GM). The
parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based
sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust H∞ controllers which guarantees not only the
asymptotic stability of the closed-loop system, but also the H∞ noise attenuation g over all admissible parameter uncertainties is
established. Furthermore, a convex optimization problem is formulated to design
a delay-dependent state feedback robust optimal H∞ controller which minimizes the H∞ noise attenuation g of the closed-loop system. Finally, an illustrative
example is provided to demonstrate the effectiveness of the proposed method.