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2019 | OriginalPaper | Chapter

4. Sampled-Data Control for a Class of Linear Systems with Randomly Occurring Missing Data

Authors : Ju H. Park, Hao Shen, Xiao-Heng Chang, Tae H. Lee

Published in: Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals

Publisher: Springer International Publishing

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Abstract

In this chapter, design methods of the sampled-data control under missing data for dynamics systems have been developed. Two models of discontinuous sampled-data control signals in the presence of the consecutive missing data scenario are proposed by using stochastic variables with a Bernoulli distributed white sequence. Sufficient conditions for the existence of desired sampled-data controllers are presented in the form of a linear matrix inequality. Finally, developed methods have been applied to RLC circuit to show the validity of the proposed methods.

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previous chapter Quantized Static Output Feedback Control for Discrete-Time Systems
next chapter Reliable Event-Triggered Retarded Dynamic Output Feedback Control for Networked Systems
Literature
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Wu ZG, Park JH, Su H, Chu J (2013) Non-fragile synchronisation control for complex networks with missing data. Int J Control 86:555–566MathSciNetCrossRef
2.
Wang Z, Shen B, Shu H, Wei G (2012) Quantized \(\mathscr {H}_{\infty }\) control for nonlinear stochastic time-delay systems with missing measurements. IEEE Trans Autom Control 57:1431–1444
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Gao H, Wu J, Shi P (2009) Robust sampled-data \(\mathscr {H}_{\infty }\) control with stochastic sampling. Automatica 45:1729–1736
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Lee TH, Park JH, Lee SM, Kwon OM (2013) Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control. Int J Control 86:107–119MathSciNetCrossRef
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Tangirala AK, Li D, Patwardhan RS, Shah SL, Chen T (2001) Ripple-free conditions for lifted multirate control systems. Automatica 37:1637–1645CrossRef
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Lee TH, Wu ZG, Park JH (2012) Synchronization of a complex dynamical network with coupling time-varying delays via sampled-data control. Appl Math Comput 219:1354–1366
Metadata
Title
Sampled-Data Control for a Class of Linear Systems with Randomly Occurring Missing Data
Authors
Ju H. Park
Hao Shen
Xiao-Heng Chang
Tae H. Lee
Copyright Year
2019
Book
Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals

Print ISBN: 978-3-319-96201-6

Electronic ISBN: 978-3-319-96202-3

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-96202-3_4