Finite-time control for Markovian jump systems with polytopic uncertain transition description and actuator saturation
type: Item
instance of: scholarly article
title: Finite-time control for Markovian jump systems with polytopic uncertain transition description and actuator saturation
zbMATH Open document ID: 1406.93308
DOI: 10.1155/2014/314812
author: Zhongyi Tang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The problem of finite-time \(L_2\)-\(L_\infty\) control for Markovian jump systems (MJS) is investigated. The systems considered time-varying delays, actuator saturation, and polytopic uncertain transition description. The purpose of this paper is to design a state feedback controller such that the system is finite-time bounded (FTB) and a prescribed \(L_2\)-\(L_\infty\) disturbance attenuation level during a specified time interval is guaranteed. Based on the Lyapunov method, a linear matrix inequality (LMI) optimization problem is formulated to design the delayed feedback controller which satisfies the given attenuation level. Finally, illustrative examples show that the proposed conditions are effective for the design of robust state feedback controller.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 7022149
zbMATH Keywords: finite-time control
zbMATH Keywords: Markovian jump systems
zbMATH Keywords: polytopic uncertain transition
zbMATH Keywords: robust state feedback controller
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/314812
OpenAlex ID: W2150025288
Wikidata QID: Q59038135
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description: scientific article; zbMATH DE number 7022149