Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization

This paper deals with the finite-horizon reliable H∞ output feedback control problem for a class of discrete time-varying systems with randomly occurring uncertainties (ROUs), randomly occurring nonlinearities (RONs) as well as measurement quantizations. Both the deterministic actuator failures and...

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Published inAutomatica (Oxford) Vol. 52; pp. 355 - 362
Main Authors Dong, Hongli, Wang, Zidong, Ding, Steven X., Gao, Huijun
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2015
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Abstract This paper deals with the finite-horizon reliable H∞ output feedback control problem for a class of discrete time-varying systems with randomly occurring uncertainties (ROUs), randomly occurring nonlinearities (RONs) as well as measurement quantizations. Both the deterministic actuator failures and probabilistic sensor failures are considered in order to reflect the reality. The actuator failure is quantified by a deterministic variable varying in a given interval and the sensor failure is governed by an individual random variable taking value on [0,1]. Both the nonlinearities and the uncertainties enter into the system in random ways according to Bernoulli distributed white sequences with known conditional probabilities. The main purpose of the problem addressed is to design a time-varying output feedback controller over a given finite horizon such that, in the simultaneous presence of ROUs, RONs, actuator and sensor failures as well as measurement quantizations, the closed-loop system achieves a prescribed performance level in terms of the H∞-norm. Sufficient conditions are first established for the robust H∞ performance through intensive stochastic analysis, and then a recursive linear matrix inequality approach is employed to design the desired output feedback controller achieving the prescribed H∞ disturbance rejection level. A numerical example is given to demonstrate the effectiveness of the proposed design scheme.
AbstractList This paper deals with the finite-horizon reliable H∞ output feedback control problem for a class of discrete time-varying systems with randomly occurring uncertainties (ROUs), randomly occurring nonlinearities (RONs) as well as measurement quantizations. Both the deterministic actuator failures and probabilistic sensor failures are considered in order to reflect the reality. The actuator failure is quantified by a deterministic variable varying in a given interval and the sensor failure is governed by an individual random variable taking value on [0,1]. Both the nonlinearities and the uncertainties enter into the system in random ways according to Bernoulli distributed white sequences with known conditional probabilities. The main purpose of the problem addressed is to design a time-varying output feedback controller over a given finite horizon such that, in the simultaneous presence of ROUs, RONs, actuator and sensor failures as well as measurement quantizations, the closed-loop system achieves a prescribed performance level in terms of the H∞-norm. Sufficient conditions are first established for the robust H∞ performance through intensive stochastic analysis, and then a recursive linear matrix inequality approach is employed to design the desired output feedback controller achieving the prescribed H∞ disturbance rejection level. A numerical example is given to demonstrate the effectiveness of the proposed design scheme.
Author Dong, Hongli
Wang, Zidong
Ding, Steven X.
Gao, Huijun
Author_xml – sequence: 1
  givenname: Hongli
  surname: Dong
  fullname: Dong, Hongli
  email: shiningdhl@gmail.com
  organization: College of Electrical and Information Engineering, Northeast Petroleum University, Daqing 163318, China
– sequence: 2
  givenname: Zidong
  surname: Wang
  fullname: Wang, Zidong
  email: Zidong.Wang@brunel.ac.uk
  organization: Department of Computer Science, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
– sequence: 3
  givenname: Steven X.
  surname: Ding
  fullname: Ding, Steven X.
  email: steven.ding@uni-due.de
  organization: Institute for Automatic Control and Complex Systems, University of Duisburg–Essen, 47057, Germany
– sequence: 4
  givenname: Huijun
  surname: Gao
  fullname: Gao, Huijun
  email: hjgao@hit.edu.cn
  organization: Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China
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Keywords Randomly occurring nonlinearities
Finite-horizon reliable control
Randomly occurring uncertainties
Actuator and sensor failure
Time-varying systems
Language English
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Snippet This paper deals with the finite-horizon reliable H∞ output feedback control problem for a class of discrete time-varying systems with randomly occurring...
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SubjectTerms Actuator and sensor failure
Finite-horizon reliable control
Randomly occurring nonlinearities
Randomly occurring uncertainties
Time-varying systems
Title Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization
URI https://dx.doi.org/10.1016/j.automatica.2014.11.020
Volume 52
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