PMID- 32008731
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20200608
IS  - 1879-2022 (Electronic)
IS  - 0019-0578 (Linking)
VI  - 101
DP  - 2020 Jun
TI  - H(infinity) sliding mode control for Markovian jump systems with randomly occurring 
      uncertainties and repeated scalar nonlinearities via delay-fractioning method.
PG  - 10-22
LID - S0019-0578(20)30043-4 [pii]
LID - 10.1016/j.isatra.2020.01.032 [doi]
AB  - This paper addresses the problem of robust H(infinity) sliding mode control (SMC) for 
      discrete delayed Markovian jumping systems subject to randomly occurring 
      uncertainties (ROUs) and repeated scalar nonlinearities (RSNs). Here, a set of 
      mutually independent Bernoulli distributed random variables is introduced to 
      model the phenomenon of the ROUs, where the occurrence probabilities could be 
      uncertain. The purpose of paper is to present an H(infinity) SMC strategy via the 
      delay-fractioning approach such that, for the Markovian jumping parameters, 
      time-varying delays, ROUs and RSNs, the mean-square stability of the resulted 
      sliding motion with a prescribed H(infinity) performance can be guaranteed. 
      Subsequently, the robust sliding mode controller is synthesized to guarantee that 
      the reachability condition in the discrete-time setting is ensured. Finally, the 
      validity of proposed robust SMC strategy is verified by providing a simulation 
      example.
CI  - Copyright (c) 2020 ISA. Published by Elsevier Ltd. All rights reserved.
FAU - Zhang, Panpan
AU  - Zhang P
AD  - Department of Mathematics, Harbin University of Science and Technology, Harbin 
      150080, China; Heilongjiang Provincial Key Laboratory of Optimization Control and 
      Intelligent Analysis for Complex Systems, Harbin University of Science and 
      Technology, Harbin 150080, China.
FAU - Hu, Jun
AU  - Hu J
AD  - Department of Mathematics, Harbin University of Science and Technology, Harbin 
      150080, China; Heilongjiang Provincial Key Laboratory of Optimization Control and 
      Intelligent Analysis for Complex Systems, Harbin University of Science and 
      Technology, Harbin 150080, China; School of Engineering, University of South 
      Wales, Pontypridd CF37 1DL, UK. Electronic address: hujun2013@gmail.com.
FAU - Zhang, Hongxu
AU  - Zhang H
AD  - School of Measurement and Communication, Harbin University of Science and 
      Technology, Harbin 150080, China.
FAU - Chen, Dongyan
AU  - Chen D
AD  - Department of Mathematics, Harbin University of Science and Technology, Harbin 
      150080, China; Heilongjiang Provincial Key Laboratory of Optimization Control and 
      Intelligent Analysis for Complex Systems, Harbin University of Science and 
      Technology, Harbin 150080, China.
LA  - eng
PT  - Journal Article
DEP - 20200127
PL  - United States
TA  - ISA Trans
JT  - ISA transactions
JID - 0374750
SB  - IM
OTO - NOTNLM
OT  - Markovian jumping parameters
OT  - Randomly occurring uncertainties
OT  - Repeated scalar nonlinearities
OT  - Sliding mode control
OT  - Uncertain occurrence probabilities
COIS- Declaration of Competing Interest The authors declare that they have no known 
      competing financial interests or personal relationships that could have appeared 
      to influence the work reported in this paper.
EDAT- 2020/02/06 06:00
MHDA- 2020/02/06 06:01
CRDT- 2020/02/04 06:00
PHST- 2018/07/11 00:00 [received]
PHST- 2020/01/20 00:00 [revised]
PHST- 2020/01/23 00:00 [accepted]
PHST- 2020/02/06 06:00 [pubmed]
PHST- 2020/02/06 06:01 [medline]
PHST- 2020/02/04 06:00 [entrez]
AID - S0019-0578(20)30043-4 [pii]
AID - 10.1016/j.isatra.2020.01.032 [doi]
PST - ppublish
SO  - ISA Trans. 2020 Jun;101:10-22. doi: 10.1016/j.isatra.2020.01.032. Epub 2020 Jan 
      27.