Paper Info
Title
Resilient Controller Synthesis For Markovian Jump Systems With Probabilistic Faults And Gain Fluctuations Under Stochastic Sampling Operational Mechanism
Abstract
In this article, by exploiting the sampling communication mechanism (SCM) with probabilistically switching signals, the dissipativity-based resilient reliable control design problem is addressed for Markovian jump systems (MJSs), which simultaneous against the multiplicate stochastic intermittent actuator faults (MSIAFs) and randomly occurring controller gain fluctuations (ROCGFs). The primary objective of this work is to synthesis a resilient controller such that the underlying MJSs is stochastically stable while meeting an expected (Q , S , R ) - upsilon dissipative performance index in the presence of ROCGFs. First and foremost, the randomly occurring actuator faults (ROAFs) and their failures rates are characterized by a series of mutually independent stochastic variables that satisfy prescribed probabilistic distributions for each actuator. The distortion degree and failure rate of each actuator can be quantized and calculated with the help of mathematical variance and expectation respectively. Secondly, the sampling controller with stochastically variable operation periods is considered and just assumed to switch between two different values in stochastic circumstances with certain probability. Thirdly, the nonfragile controller gain fluctuations also happens in a random framework which are obedient to Bernoulli distribution sequence (BDS). Fourthly, by resorting to an appropriately Lyapunov-Krasovskii functional (LKF) and adopting matrix inequality decoupling technique, several sufficient conditions for the solvability of the addressed problem are eventually formulated in the shape of linear matrix inequalities (LMIs). Ultimately, three real-life numerical examples are exploited to illustrate the effectiveness and applicability of the presented theoretical findings. (c) 2020 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.amc.2020.125623
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
Markovian jump systems (MJSs), Multiplicate stochastic intermittent actuator faults (MSIAFs), Randomly occurring controller gain fluctuations (ROCGFs), Lyapunov-Krasovskii functional (LKF), Linear matrix inequalities (LMIs)
Journal
392
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Xiaoqing Li121.04
Sing Kiong Nguang21326103.71
Kun She315016.02
Jun Cheng453643.22
Shouming Zhong51470121.41