Abstract
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.
Highlights
In the past decades, research on two-dimensional (2-D) discrete systems has rapidly increased due to their extensive practical applications in circuits analysis [1], digital image processing [2], signal filtering [3] and thermal power engineering [4], etc
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)
A solution to delay-dependent robust optimal H∞ control problem for a class of uncertain 2-D discrete state delay systems described by the GM with norm-bounded uncertainties has been presented
Summary
Research on two-dimensional (2-D) discrete systems has rapidly increased due to their extensive practical applications in circuits analysis [1], digital image processing [2], signal filtering [3] and thermal power engineering [4], etc.
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