scholarly journals Robust stability of positive linear time delay systems under time-varying perturbations

2015 ◽  
Vol 63 (4) ◽  
pp. 947-954
Author(s):  
P.H.A. Ngoc ◽  
C.T. Tinh
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Linear Time ◽  
Delay Systems ◽  
Time Varying ◽  
Linear Time Invariant ◽  
Novel Approach ◽  
Delay Differential Systems ◽  
Delay Differential ◽  
Time Invariant

Abstract By a novel approach, we get explicit robust stability bounds for positive linear time-invariant time delay differential systems subject to time-varying structured perturbations or non-linear time-varying perturbations. Some examples are given to illustrate the obtained results. To the best of our knowledge, the results of this paper are new.

scholarly journals Identification of LTI Time-Delay Systems with Missing Output Data Using GEM Algorithm

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xianqiang Yang ◽  
Hamid Reza Karimi
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Irregular Sampling ◽  
Delay Systems ◽  
Model Parameters ◽  
Delay Model ◽  
Sensor Failure ◽  
Linear Time Invariant ◽  
Failure Data ◽  
Time Invariant

This paper considers the parameter estimation for linear time-invariant (LTI) systems in an input-output setting with output error (OE) time-delay model structure. The problem of missing data is commonly experienced in industry due to irregular sampling, sensor failure, data deletion in data preprocessing, network transmission fault, and so forth; to deal with the identification of LTI systems with time-delay in incomplete-data problem, the generalized expectation-maximization (GEM) algorithm is adopted to estimate the model parameters and the time-delay simultaneously. Numerical examples are provided to demonstrate the effectiveness of the proposed method.

Decentralized controller design by continuous pole placement for neutral time-delay systems

2016 ◽  
Vol 39 (3) ◽  
pp. 297-311 ◽  
Author(s):  
HE Erol ◽  
A İftar
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Linear Time ◽  
Pole Placement ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Linear Time Invariant ◽  
Assignment Algorithm ◽  
Placement Algorithm ◽  
Time Invariant

The stabilizing decentralized controller design problem for (possibly descriptor-type) linear time-invariant neutral time-delay systems is considered. A design approach, based on the continuous pole placement algorithm and the decentralized pole assignment algorithm, is proposed. A design example is also presented, to demonstrate the proposed approach.

Robust Controller Design for Descriptor-type Time-delay Systems

2021 ◽  
Vol 20 ◽  
pp. 289-294
Author(s):  
Altug Iftar
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Linear Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Robust Controller ◽  
Frequency Dependent ◽  
Stabilizing Controller ◽  
Linear Time Invariant ◽  
Time Invariant

Linear time-invariant descriptor-type time-delay systems are considered. A robust stabilizing controller design approach for such systems is introduced. Uncertainties both in the time-delays and in other system parameters are considered. A frequency-dependent scalar bound on such uncertainties is first derived. Once this bound is found, the controller design is completely based on the nominal model. However, satisfying a scalar frequency-dependent condition, which uses the derived bound, guarantees robust stability. An example is also presented to illustrate the proposed approach

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