A Direct Estimation Method of Second Order Plus Time Delay Model Parameters for PID Controller Autotuning.

1999 ◽  
Vol 32 (3) ◽  
pp. 288-294 ◽  
Author(s):  
Kyung Joo Chung ◽  
Hee Jin Kwak ◽  
Su Whan Sung ◽  
In-Beum Lee ◽  
Jin Yong Park
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Estimation Method ◽  
Second Order ◽  
Model Parameters ◽  
Delay Model ◽  
Direct Estimation

scholarly journals Automatic Tuning of PID Controller Using Second-Order Plus Time Delay Model.

1996 ◽  
Vol 29 (6) ◽  
pp. 990-999 ◽  
Author(s):  
Su Whan Sung ◽  
Jungmin O ◽  
In-Beum Lee ◽  
Jietae Lee ◽  
Seok-Ho Yi
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Second Order ◽  
Automatic Tuning ◽  
Delay Model

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.

A Novel PID Controller with Second Order Lead/Lag Filter for Stable and Unstable First Order Process with Time Delay

2018 ◽  
Vol 13 (1) ◽  
Author(s):  
Praveen Kumar Medarametla ◽  
Manimozhi Muthukumarasamy
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Chemical Reactor ◽  
Initial Guess ◽  
Second Order ◽  
Maximum Sensitivity ◽  
Tuning Parameter ◽  
First Order ◽  
In Series ◽  
Made In

AbstractA novel Proportional-Integral-Derivative (PID) controller is proposed for stable and unstable first order processes with time delay. The controller is cascaded in series with a second order filter. Polynomial approach is employed to derive the controller and filter parameters. Simple tuning rules are derived by analysing the maximum sensitivity of the control loop. Formulae are provided for initial guess of tuning parameter. The range of tuning parameter around the initial guess and the corresponding range of maximum sensitivity is specified based on time delay to time constant ratio. Promising results are obtained with the proposed method is compared against recently proposed methods in the literature. The comparison is made in terms of various performance indices for servo and regulatory responses separately. The proposed method is implemented for an isothermal chemical reactor at an unstable equilibrium point.

An optimal PID controller via LQR for standard second order plus time delay systems

2016 ◽  
Vol 60 ◽  
pp. 244-253 ◽  
Author(s):  
Saurabh Srivastava ◽  
Anuraag Misra ◽  
S.K. Thakur ◽  
V.S. Pandit
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Second Order ◽  
Delay Systems ◽  
Time Delay Systems

Closed-Loop Identification Using Laguerre Series Expansions for Second-Order Plus Time Delay Model

2013 ◽  
Vol 416-417 ◽  
pp. 822-833
Author(s):  
Qi Bing Jin ◽  
Si Nian Li ◽  
Qie Liu ◽  
Qi Wang
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Second Order ◽  
High Order ◽  
Series Expansions ◽  
Delay Model ◽  
Order Process ◽  
High Order Process ◽  
Laguerre Series ◽  
Closed Loop Identification

In this paper, a simple yet robust closed-loop identification method based on step response is presented. By approximating the process response firstly using Laguerre series expansions, a high-order process transfer function can be obtained. Then, a linear two-step reduction technique is used to reduce the high-order process to a second-order plus time delay model based on the frequency response data. This method is robust to measurement noise and it also does not need any numerical technique or iterative optimization. Simulation examples show the effectiveness of the proposed method for different process models. Comparison of identification performance between different methods is also illustrated in this work.

scholarly journals A new approach to estimate pedestrian delay at signalized intersections

Transport ◽  
2016 ◽  
Vol 33 (1) ◽  
pp. 249-259 ◽  
Author(s):  
Sankaran Marisamynathan ◽  
Perumal Vedagiri
Keyword(s):  
Time Delay ◽  
Waiting Time ◽  
Signalized Intersections ◽  
Signalized Intersection ◽  
Model Parameters ◽  
Clear Understanding ◽  
Delay Model ◽  
Crossing Time ◽  
Pedestrian Crossing ◽  
Compliance Behaviour

Enhancing pedestrian safety and improving the design standards of pedestrian facilities at signalized intersection requires a clear understanding of pedestrian delay model and pedestrian crossing behaviours under mixed traffic condition. The existing delay models do not consider the behavioural constrains of pedestrians. This research has been undertaken with the aim of developing a suitable pedestrian delay model for signalized intersection crosswalks, based on considering actual pedestrian crossing behaviours. The required model parameters were extracted from the video-graphic survey conducted for the selected four signalized intersections in Mumbai (India). Crossing behaviours of pedestrians were examined through field data in terms of pedestrian arrival pattern, crossing speed, compliance behaviour and pedestrian–vehicular interactions. Based on pedestrian crossing behaviour analysis results, two new pedestrian delay estimation models were developed and the models were validated by comparing with field and existing model values. The performance level of the proposed models is showing more precise and reliable solutions. The first pedestrian delay model is developed on the basis of compliance behaviour, has two components, such as waiting time delay and crossing time delay. This model can be used to evaluate pedestrian Level Of Service (LOS) and signal timing optimization. The second developed pedestrian delay model is based on noncompliance behaviour, has three components, such as waiting time delay, crossing time delay, and pedestrian–vehicular interaction delay. This model can also be used to evaluate the quality of pedestrian flow, estimating accurate pedestrian delay and LOS for local conditions, which is representative of the prevailing pedestrian condition.

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