Robust finite–time stochastic stabilization and fault–tolerant control for uncertain networked control systems considering random delays and probabilistic actuator faults

Document Type

Article

Publication Date

8-1-2019

Publication Title

Transactions of the Institute of Measurement and Control

Volume

41

Issue

12

First Page

3550

Keywords

data packet dropouts, fault–tolerant control, finite–time stochastic stability (FTSS), linear matrix inequalities (LMIs), Networked control systems (NCSs), random delays, stochastic actuator faults

Last Page

3561

Abstract

This paper focuses on the problem of reliable finite–time stochastic stability (FTSS) for uncertain networked control systems (NCSs). A Markovian jump system (MJS) model with partly unknown transition probabilities (TPs) for the NCSs with random delays, data packet dropouts (disorders as well) and stochastic actuator faults is established to describe the closed–loop system. A mode-dependent static output feedback controller is designed taking only the measured outputs into account. A new criterion is also derived in terms of linear matrix inequalities (LMIs) to ensure reliable FTSS of the closed–loop system, based on the stochastic stability theory. Simulation studies on a benchmark numerical example, as well as an unstable numerical example can verify the effectiveness of the proposed method.

DOI

10.1177/0142331219832945

ISSN

01423312

E-ISSN

14770369

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