• Title/Summary/Keyword: Integral Absolute Error

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Design of Advanced Multi-loop PI Controller for Multi-delay Processes (다중 시간지연 공정을 위한 개선된 다중루프 PI 제어기 설계)

  • Vu, Truong Nguyen Luan;Lee, Moon-Yong
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.1
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    • pp.77-82
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    • 2010
  • An analytical method for robust design of the multi-loop proportional-integral (PI) controller is proposed for various types of multi-delay processes. On the basis of the direct synthesis and generalized IMC-PID approach, the analytical tuning rules of the multi-loop PI controller are firstly derived for achieving the desired closed-loop response, and the structured singular value synthesis is then utilized for the tradeoffs between the robust stability and performance by adjusting only one design parameter (i.e., the closed-loop time constant). To verify the superiority of the proposed method, the simulation studies have been conducted on a wide variety of multivariable processes. The multi-loop PI controller designed by the proposed method shows a fast, well-balanced and robust response with the minimum integral absolute error (IAE) in compared with other renowned methods.

EA-based Tuning of a PID Controller with an Anti-windup Scheme (안티와인드업 기법을 가지는 PID 제어기의 EA 기반 동조)

  • Jin, Gang-Gyoo;Park, Dong-Jin
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.10
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    • pp.867-872
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    • 2013
  • Many practical processes in industry have nonlinearities of some forms. One commonly encountered form is actuator saturation which can cause a detrimental effect known as integrator windup. Therefore, a strategy of attenuating the effects of integrator windup is required to guarantee the stability and performance of the overall control system. In this paper, optimal tuning of a PID (Proportional-Integral-Derivative) controller with an anti-windup scheme is presented to enhance the tracking performance of the PID control system in the presence of the actuator saturation. First, we investigate effective anti-windup schemes. Then, the parameters of both the PID controller and the anti-windup scheme are optimally tuned by an EA (Evolutionary Algorithm) such as the IAE (Integral of Absolute Error) is minimized. A set of simulation works on two high-order processes demonstrates the benefit of the proposed method.

Optimization of a PI Controller Design for an Oil Cooler System with a Variable Rotating Speed Compressor (가변속 압축기를 갖는 오일쿨러의 최적 PI 제어기 설계)

  • Kwon, Taeeun;Jeong, Taeyoung;Jeong, Seokkwon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.28 no.12
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    • pp.502-508
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    • 2016
  • An optimized PI controller design method is presented to promote the control performance of an oil cooler system for high precision machine tools. First, a transfer function model of the oil cooler system with a variable rotating speed compressor was obtained by the perturbation method as the first order system with a negligible dead time. Then, the closed-loop control system was described as the second order system with a zero. Its dynamic behaviors are mostly governed by characteristic parameters, the damping ratio, and the natural frequency which is incorporated in PI gains. Next, an optimum integral of the time-weighted absolute error (ITAE) criterion was applied to the second order system. The characteristic parameters can be determined by the given design specifications, percent overshoots and settling times and comparisons with the ITAE criterion. Hence, the PI gains were plainly identified in a deterministic way. Finally, the PI gains were fine-tuned to obtain desirable dynamics in real systems, considering the zero effect and parameter variations. The validity of the proposed method was proven by computer simulations and real experiments for selected cases.

Control Transfer Optimization using Control Performance Assessment Methodology (Control Performance Assessment 기법을 적용한 제어 전환 최적화)

  • Lee, Kwang-Dae;Oh, Eung-Se;Yang, Seung-Ok;Kim, Jong-Won;Jeon, Dang-Hee;Hur, Jung-Won
    • Proceedings of the KIEE Conference
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    • 2008.10b
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    • pp.425-426
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    • 2008
  • 발전소의 제어 시스템은 제어 기간이 길어짐에 따라 제어 기기의 운전 특성이 변화하므로 최초 설계 및 운전때의 성능과는 다른 제어 특성을 나타낸다. 따라서 주기적으로 제어 성능을 평가하고 평가 결과에 따라서 제어 기기의 성능 개선 작업과 제어 시스템의 제어기 상수 최적화 등의 작업을 통하여 제어 성능을 최적으로 유지하여 제어 목적을 달성하도록 하여야한다. 제어성능 평가기법은 제어 목표 값에 대한 추종성을 평가하는 Set Print Analysis 방법을 주로 사용한다. 평가 지표는 Integral Absolute Error(IAE)와 같은 Error Integral 값과 Minimum Variance방법이 실용적으로 사용된다. 본 논문에서는 Non-Minimum Phase 특성으로 인하여 초기 운전 모드에서 정상 운전 모듈로의 원활한 전환이 어려운 수위 제어 시스템에서 제어 전환을 위한 최적 제어기 상수를 구하기 위하여 CPA 방법을 적용하였다. 일반적으로 제어성 평가는 설정치 변화에 대한 추종성을 평가하지만 본 논문에서는 제어 전환 시의 제어성 평가를 통하여 최적의 제어 전환 상수를 구하고자 하였다. 적용 결과, CPA기법은 설정시 추종성뿐만 아니라 제어 과도에서의 제어 전환 변수의 주종성에 적용하여 제어 전환을 최적화하는데도 유용함을 확인하였다.

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Performance and modeling of high-performance steel fiber reinforced concrete under impact loads

  • Perumal, Ramadoss
    • Computers and Concrete
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    • v.13 no.2
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    • pp.255-270
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    • 2014
  • Impact performance of high-performance concrete (HPC) and SFRC at 28-day and 56-day under the action of repeated dynamic loading was studied. Silica fume replacement at 10% and 15% by mass and crimped steel fiber ($V_f$ = 0.5%- 1.5%) with aspect ratios of 80 and 53 were used in the concrete mixes. Results indicated that addition of fibers in HPC can effectively restrain the initiation and propagation of cracks under stress, and enhance the impact strengths and toughness of HPC. Variation of fiber aspect ratio has minor effect on improvement in impact strength. Based on the experimental data, failure resistance prediction models were developed with correlation coefficient (R) = 0.96 and the estimated absolute variation is 1.82% and on validation, the integral absolute error (IAE) determined is 10.49%. On analyzing the data collected, linear relationship for the prediction of failure resistance with R= 0.99 was obtained. IAE value of 10.26% for the model indicates better the reliability of model. Multiple linear regression model was developed to predict the ultimate failure resistance with multiple R= 0.96 and absolute variation obtained is 4.9%.

Volatility analysis and Prediction Based on ARMA-GARCH-typeModels: Evidence from the Chinese Gold Futures Market (ARMA-GARCH 모형에 의한 중국 금 선물 시장 가격 변동에 대한 분석 및 예측)

  • Meng-Hua Li;Sok-Tae Kim
    • Korea Trade Review
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    • v.47 no.3
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    • pp.211-232
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    • 2022
  • Due to the impact of the public health event COVID-19 epidemic, the Chinese futures market showed "Black Swan". This has brought the unpredictable into the economic environment with many commodities falling by the daily limit, while gold performed well and closed in the sunshine(Yan-Li and Rui Qian-Wang, 2020). Volatility is integral part of financial market. As an emerging market and a special precious metal, it is important to forecast return of gold futures price. This study selected data of the SHFE gold futures returns and conducted an empirical analysis based on the generalised autoregressive conditional heteroskedasticity (GARCH)-type model. Comparing the statistics of AIC, SC and H-QC, ARMA (12,9) model was selected as the best model. But serial correlation in the squared returns suggests conditional heteroskedasticity. Next part we established the autoregressive moving average ARMA-GARCH-type model to analysis whether Volatility Clustering and the leverage effect exist in the Chinese gold futures market. we consider three different distributions of innovation to explain fat-tailed features of financial returns. Additionally, the error degree and prediction results of different models were evaluated in terms of mean squared error (MSE), mean absolute error (MAE), Theil inequality coefficient(TIC) and root mean-squared error (RMSE). The results show that the ARMA(12,9)-TGARCH(2,2) model under Student's t-distribution outperforms other models when predicting the Chinese gold futures return series.

Temperature Control of a CSTR using a Nonlinear PID Controller (비선형 PID 제어기를 사용한 CSTR의 온도 제어)

  • Lee, Joo-Yeon;So, Gun-Baek;Lee, Yun-Hyung;So, Myung-Ok;Jin, Gang-Gyoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.5
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    • pp.482-489
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    • 2015
  • CSTR (Continuous Stirred Tank Reactor) which plays a key role in the chemical plants exhibits highly nonlinear behavior as well as time-varying behavior during operation. The control of CSTRs in the whole operating range has been a challenging problem to control engineers. So, a variety of feedback control forms and their tuning methods have been implemented to guarantee the satisfactory performance. This paper presents a scheme of designing a nonlinear PID controller incorporating with a GA (Genetic Algorithm) for the temperature control of a CSTR. The gains of the NPID controller are composed of easily implementable nonlinear functions based on the error and/or the error rate and its parameters are tuned using a GA by minimizing the ITAE (Integral of Absolute Error). Simulation works for reference tracking and disturbance rejecting performances and robustness to parameter changes show the feasibility of the proposed method.

Performance Improvement of an INS by using a Magnetometer with Pedestrian Dynamic Constraints

  • Woyano, Feyissa;Park, Aangjoon;Lee, Soyeon
    • IEIE Transactions on Smart Processing and Computing
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    • v.6 no.1
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    • pp.1-9
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    • 2017
  • This paper proposes to improve the performance of a strap down inertial navigation system using a foot-mounted low-cost inertial measurement unit/magnetometer by configuring an attitude and heading reference system. To track position accurately and for attitude estimations, considering different dynamic constraints, magnetic measurement and a zero velocity update technique is used. A conventional strap down method based on integrating angular rate to determine attitude will inevitably induce long-term drift, while magnetometers are subject to short-term orientation errors. To eliminate this accumulative error, and thus, use the navigation system for a long-duration mission, a hybrid configuration by integrating a miniature micro electromechanical system (MEMS)-based attitude and heading detector with the conventional navigation system is proposed in this paper. The attitude and heading detector is composed of three-axis MEMS accelerometers and three-axis MEMS magnetometers. With an absolute algorithm based on gravity and Earth's magnetic field, rather than an integral algorithm, the attitude detector can obtain an absolute attitude and heading estimation without drift errors, so it can be used to adjust the attitude and orientation of the strap down system. Finally, we verify (by both formula analysis and from test results) that the accumulative errors are effectively eliminated via this hybrid scheme.

Speed Controller Design of a Two-Inertia Motor System Using Weighted ITAE Index (가중 ITAE 지수를 사용한 2관성 모터시스템의 속도제어기 설계)

  • Park, Jung-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.6
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    • pp.581-589
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    • 2009
  • In a two-inertia motor system with flexible shaft, a torsional vibration is often generated as a quick speed response is required. This vibration makes it difficult to achieve a quick response of speed and disturbance rejection. The objective of this paper is to provide a systematic analysis and design of the three kinds of speed controllers such as I-P, I-PD, and state feedback control by using the weighted ITAE performance index. Some simulation and experiment results verify the effectiveness of the proposed design.

Development of Fuzzy Hybrid Redundancy for Sensor Fault-Tolerant of X-By-Wire System (X-By-Wire 시스템의 센서 결함 허용을 위한 Fuzzy Hybrid Redundancy 개발)

  • Kim, Man-Ho;Son, Byeong-Jeom;Lee, Kyung-Chang;Lee, Suk
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.3
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    • pp.337-345
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    • 2009
  • The dependence of numerous systems on electronic devices is causing rapidly increasing concern over fault tolerance because of safety issues of safety critical system. As an example, a vehicle with electronics-controlled system such as x-by-wire systems, which are replacing rigid mechanical components with dynamically configurable electronic elements, should be fault¬tolerant because a devastating failure could arise without warning. Fault-tolerant systems have been studied in detail, mainly in the field of aeronautics. As an alternative to solve these problems, this paper presents the fuzzy hybrid redundancy system that can remove most erroneous faults with fuzzy fault detection algorithm. In addition, several numerical simulation results are given where the fuzzy hybrid redundancy outperforms with general voting method.