Robust H∞ control of nonlinear Markovian jump singular systems

Xiuming Yao; Ligang Wu; Wei Xing Zheng

doi:10.1007/978-3-319-31915-5_11

Robust H_∞ control of nonlinear Markovian jump singular systems

Xiuming Yao
, Ligang Wu
, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Beijing Jiaotong University
Harbin Institute of Technology

Research output: Chapter in Book / Conference Paper › Chapter › peer-review

Abstract

Investigates the problem CHAD control for Markovian jump singular systems with nonlinearity and two types of disturbances. The multiple disturbances includes two kinds: one is supposed to be a norm-bounded vector; the other is described by an exogenous system with perturbations. With the composite hierarchical anti-disturbance control scheme and by choosing a proper stochastic Lyapunov–Krasovskii functional, desired controllers are solved, such that the solution to the composite system exists and is unique, and the composite system is stochastically admissible with H8 performance.

Original language	English
Title of host publication	Studies in Systems, Decision and Control
Publisher	Springer International Publishing
Pages	171-185
Number of pages	15
DOIs	https://doi.org/10.1007/978-3-319-31915-5_11
Publication status	Published - 2016

Publication series

Name	Studies in Systems, Decision and Control
Volume	58
ISSN (Print)	2198-4182
ISSN (Electronic)	2198-4190

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2016.

Access to Document

10.1007/978-3-319-31915-5_11

Cite this

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abstract = "Investigates the problem CHAD control for Markovian jump singular systems with nonlinearity and two types of disturbances. The multiple disturbances includes two kinds: one is supposed to be a norm-bounded vector; the other is described by an exogenous system with perturbations. With the composite hierarchical anti-disturbance control scheme and by choosing a proper stochastic Lyapunov–Krasovskii functional, desired controllers are solved, such that the solution to the composite system exists and is unique, and the composite system is stochastically admissible with H8 performance.",

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AB - Investigates the problem CHAD control for Markovian jump singular systems with nonlinearity and two types of disturbances. The multiple disturbances includes two kinds: one is supposed to be a norm-bounded vector; the other is described by an exogenous system with perturbations. With the composite hierarchical anti-disturbance control scheme and by choosing a proper stochastic Lyapunov–Krasovskii functional, desired controllers are solved, such that the solution to the composite system exists and is unique, and the composite system is stochastically admissible with H8 performance.

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