Reconstructions of model equations of time-delay system from short experimental time series

This study aims to investigate the scope of methods for the reconstruction of time-delay systems. We consider an approach to the reconstruction of time-delay systems based on the synchronous response of the driven system with the structure similar to the structure of the studied object. This approach is used for the recovery of the parameters of time-delay systems from short and noisy time series. To show the operational performance and capabilities of this approach, the parameters were reconstructed for a radiophysical chaotic generator with quadratic nonlinearity and for the model of a system for the baroreflectory regulation of the mean arterial pressure.

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Recovery of Models of Time-delay Systems from Short Experimental Time Series

Izvestiya of Saratov University New series Series Physics ◽

10.18500/1817-3020-2016-16-1-17-24 ◽

2016 ◽

Vol 16 (1) ◽

pp. 17-24

Author(s):

M. D. Prokhorov ◽

◽

A. S. Karavaev ◽

Yu. M. Ishbulatov ◽

E. I. Borovkova ◽

...

Keyword(s):

Time Series ◽

Time Delay ◽

Delay Systems ◽

Time Delay Systems ◽

Experimental Time ◽

Experimental Time Series

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Tool to recover scalar time-delay systems from experimental time series

Physical Review E ◽

10.1103/physreve.54.r3082 ◽

1996 ◽

Vol 54 (4) ◽

pp. R3082-R3085 ◽

Cited By ~ 52

Author(s):

M. J. Bünner ◽

M. Popp ◽

Th. Meyer ◽

A. Kittel ◽

J. Parisi

Keyword(s):

Time Series ◽

Time Delay ◽

Delay Systems ◽

Time Delay Systems ◽

Experimental Time ◽

Experimental Time Series

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Stabilizing Gain Regions of PID Controller for Time Delay Systems

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.313-314.432 ◽

2013 ◽

Vol 313-314 ◽

pp. 432-437

Author(s):

Fu Min Peng ◽

Bin Fang

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Pid Controller ◽

Delay System ◽

Nyquist Plot ◽

Delay Systems ◽

Time Delay Systems ◽

Frequency Range ◽

Time Delay System ◽

Key Points

Based on the inverse Nyquist plot, this paper proposes a method to determine stabilizing gain regions of PID controller for time delay systems. According to the frequency characteristic of the inverse Nyquist plot, it is confirmed that the frequency range is used for stability analysis, and the abscissas of two kind key points are obtained in this range. PID gain is divided into several regions by abscissas of key points. Using an inference and two theorems presented in the paper, the stabilizing PID gain regions are determined by the number of intersections of the inverse Nyquist plot and the vertical line in the frequency range. This method is simple and convenient. It can solve the problem of getting the stabilizing gain regions of PID controller for time delay system.

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Application of the Robust Control Toolbox for Time Delay Systems with Parametric and Periodic Uncertainties Using SSV to Uncertain Time Delay System with Astatism

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2019.09.130 ◽

2019 ◽

Vol 52 (11) ◽

pp. 134-139 ◽

Cited By ~ 1

Author(s):

Marek Dlapa

Keyword(s):

Time Delay ◽

Robust Control ◽

Delay System ◽

Delay Systems ◽

Time Delay Systems ◽

Time Delay System ◽

Uncertain Time

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Recovery of the time-evolution equation of time-delay systems from time series

Physical Review E ◽

10.1103/physreve.56.5083 ◽

1997 ◽

Vol 56 (5) ◽

pp. 5083-5089 ◽

Cited By ~ 74

Author(s):

M. J. Bünner ◽

Th. Meyer ◽

A. Kittel ◽

J. Parisi

Keyword(s):

Time Series ◽

Time Delay ◽

Evolution Equation ◽

Time Evolution ◽

Delay Systems ◽

Time Delay Systems ◽

Equation Of Time ◽

Time Evolution Equation

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Passivity analysis and synthesis for uncertain time-delay systems

Mathematical Problems in Engineering ◽

10.1155/s1024123x01001739 ◽

2001 ◽

Vol 7 (5) ◽

pp. 455-484 ◽

Cited By ~ 19

Author(s):

Magdi S. Mahmoud ◽

Lihua Xie

Keyword(s):

Time Delay ◽

Design Method ◽

Delay System ◽

Delay Systems ◽

Linear Matrix ◽

Time Delay Systems ◽

Time Delay System ◽

Passivity Analysis ◽

Analysis And Synthesis ◽

Uncertain Time

In this paper, we investigate the robust passivity analysis and synthesis problems for a class of uncertain time-delay systems. This class of systems arises in the modelling effort of studying water quality constituents in fresh stream. For the analysis problem, we derive a sufficient condition for which the uncertain time-delay system is robustly stable and strictly passive for all admissible uncertainties. The condition is given in terms of a linear matrix inequality. Both the delay-independent and delay-dependent cases are considered. For the synthesis problem, we propose an observer-based design method which guarantees that the closed-loop uncertain time-delay system is stable and strictly passive for all admissible uncertainties. Several examples are worked out to illustrate the developed theory.

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On Stability Analysis of Switched Linear Time-Delay Systems under Arbitrary Switching

Handbook of Research on Advanced Intelligent Control Engineering and Automation - Advances in Computational Intelligence and Robotics ◽

10.4018/978-1-4666-7248-2.ch018 ◽

2015 ◽

pp. 480-515 ◽

Cited By ~ 1

Author(s):

Marwen Kermani ◽

Anis Sakly

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Lyapunov Function ◽

Continuous Time ◽

Delay System ◽

Delay Systems ◽

Stability Conditions ◽

Time Delay Systems ◽

Arbitrary Switching ◽

The Stability

This chapter focuses on the stability analysis problem for a class of continuous-time switched time-delay systems modelled by delay differential equations under arbitrary switching. Then, a transformation under the arrow form is employed. Indeed, by using a constructed Lyapunov function, the aggregation techniques, the Kotelyanski lemma associated with the M-matrix properties, new delay-dependent sufficient stability conditions are derived. The obtained results provide a solution to one of the basic problems in continuous-time switched time-delay systems. This problem ensures asymptotic stability of the switched time-delay system under arbitrary switching signals. In addition, these stability conditions are extended to be generalized for switched systems with multiple delays. Noted that, these obtained results are explicit, simple to use, and allow us to avoid the problem of searching a common Lyapunov function. Finally, two examples are provided, with numerical simulations, to demonstrate the effectiveness of the proposed method.

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Experimental Evaluation of FSM-Based Testing Cost for Time-Delay Systems

Mathematical Problems in Engineering ◽

10.1155/2014/353450 ◽

2014 ◽

Vol 2014 ◽

pp. 1-13

Author(s):

Zheng Wei ◽

Wu Xiaoxue ◽

Cai Lu ◽

Hu Desheng

Keyword(s):

Time Delay ◽

Average Length ◽

Delay System ◽

Delay Systems ◽

Model Parameters ◽

Time Delay Systems ◽

Good Test ◽

Coverage Criteria ◽

The Impact ◽

Test Suites

With time-delay systems arising, time-delay system testing has attracted much attention. Additionally, evaluating the cost and effectiveness is required to make a good test strategy in practice. In this paper, we take time-delay and other five factors (state number, input number, output number, completeness degree, and accessibility degree) into account and present a timer embedded FSM (TEFSM) model to design a comparative strategy for assessing the coverage criteria and test suites generation methods for time-delay systems. We explore the impact on the average length of test suites, in which the test suites generation methods, coverage criteria, and TEFSM model parameters are involved.

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