## Abstract and Applied Analysis

### ${H}_{\infty }$ Control for Network-Based 2D Systems with Missing Measurements

#### Abstract

The problem of ${H}_{\infty }$ control for network-based 2D systems with missing measurements is considered. A stochastic variable satisfying the Bernoulli random binary distribution is utilized to characterize the missing measurements. Our attention is focused on the design of a state feedback controller such that the closed-loop 2D stochastic system is mean-square asymptotic stability and has an  ${H}_{\infty }$ disturbance attenuation performance. A sufficient condition is established by means of linear matrix inequalities (LMIs) technique, and formulas can be given for the control law design. The result is also extended to more general cases where the system matrices contain uncertain parameters. Numerical examples are also given to illustrate the effectiveness of proposed approach.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 786128, 11 pages.

Dates
First available in Project Euclid: 27 February 2015

https://projecteuclid.org/euclid.aaa/1425048769

Digital Object Identifier
doi:10.1155/2014/786128

Mathematical Reviews number (MathSciNet)
MR3212448

Zentralblatt MATH identifier
07023068

#### Citation

Xuhui, Bu; Hongqi, Wang; Zheng, Zheng; Wei, Qian. ${H}_{\infty }$ Control for Network-Based 2D Systems with Missing Measurements. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 786128, 11 pages. doi:10.1155/2014/786128. https://projecteuclid.org/euclid.aaa/1425048769

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