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 in | Automatica (Oxford) Vol. 52; pp. 355 - 362 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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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. |
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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 |
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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 |
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