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Measurement noise filter design for unstable time delay processes in closed loop control

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Abstract

A second order measurement noise filter (SONF) is designed to eliminate the noise influence on first and second order unstable time delay processes controlled by PID controllers in closed loop configuration. Such a design doesn’t exit for unstable processes and is the objective of this research. The noise filter time constant is designed based on an iterative method and is a function of the cross over frequency of the loop gain (ωgc) and design parameter (β). The design parameter (β) is selected to balance robustness, performance and noise reduction. Systematic procedure is developed to design the filter. Simulations investigates are conducted with different unstable processes to show the reduction of the noise measurement effect on controller and process outputs. The effect of the SONF is calculated by taking into consideration perfect and disturbing process parameters based on the Total variance (TV), Integral Absolute error (IAE) and Integral square error (ISE) criteria.

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References

  1. Kiong TK, Qing-Guo W, Chieh HC, Hägglund TJ (1999) Advances in PID Control. Springer, London

    Book  Google Scholar 

  2. Larsson PO, Hägglund T (2011) Control signal constraints and filter order selection for PI and PID controllers. In: Proceedings of the American control conference, pp. 4994–4999.

  3. Micić AD, Mataušek MR (May 2014) Optimization of PID controller with higher-order noise filter. J Process Control 24(5):694–700

    Article  Google Scholar 

  4. Segovia VR, Hägglund T, Åström KJ (Apr. 2014) Measurement noise filtering for PID controllers. J Process Control 24(4):299–313

    Article  Google Scholar 

  5. Segovia VR, Hägglund T, Åström KJ (Nov. 2014) Measurement noise filtering for common PID tuning rules. Control Eng Pract 32:43–63

    Article  Google Scholar 

  6. Garpinger O, Hägglund T (Jul. 2015) Software-based optimal PID design with robustness and noise sensitivity constraints. J Process Control 33:90–101

    Article  Google Scholar 

  7. Soltesz K, Grimholt C, Skogestad S (Feb. 2017) Simultaneous design of proportional-integral-derivative controller and measurement filter by optimisation. IET Control Theory Appl 11(3):341–348

    Article  MathSciNet  Google Scholar 

  8. Merigo L, Beschi M, Padula F, Visioli A (Jan. 2018) A noise-filtering event generator for PIDPlus controllers. J Franklin Inst 355(2):774–802

    Article  MathSciNet  Google Scholar 

  9. da Silva LR, Flesch RCC, Normey-Rico JE (Jan. 2018) Analysis of anti-windup techniques in PID control of processes with measurement noise. IFAC-PapersOnLine 51(4):948–953

    Article  Google Scholar 

  10. Goud EC, Rao AS (2020) Design of noise filters for integrating time delay processes. Chem Prod Process Model. https://doi.org/10.1515/cppm-2019-0056

    Article  Google Scholar 

  11. Bošković M, Šekara TB, Rapaić MR (2020) Novel tuning rules for PIDC and PID load frequency controllers considering robustness and sensitivity to measurement noise. Int J Electr Power Energy Syst 114:105416

    Article  Google Scholar 

  12. Chen P, Luo Y, Peng Y (2021) Optimal robust fractional order PIλD controller synthesis for first order plus time delay systems. ISA Trans. https://doi.org/10.1016/j.isatra.2020.12.043

    Article  Google Scholar 

  13. Zhang X-M, Han Q-L, Ge X (2021) Sufficient conditions for a class of matrix-valued polynomial inequalities on closed intervals and application to H∞ filtering for linear systems with time-varying. Automatica 125:109390

    Article  MathSciNet  Google Scholar 

  14. Mukherjee D, Raja GL, Kundu P (Feb. 2021) Optimal fractional order IMC-based series cascade control strategy with dead-time compensator for unstable processes. J Control Autom Electr Syst 32(1):30–41

    Article  Google Scholar 

  15. Zhou Y, Liu Y, Zhou J, Wang Z (2021) Quantized passive filtering for switched delayed neural networks. Nonlinear Anal Model Control 26(1):93–112

    Article  MathSciNet  Google Scholar 

  16. Cruz Nuñez-Perez J et al (2020) Mathematical and numerical analysis of the dynamical behavior of chen oscillator. Int J Dyn Control 8:386–395

    Article  MathSciNet  Google Scholar 

  17. Kishore S, Laxmi V (2020) Modeling, analysis and experimental evaluation of boundary threshold limits for Maglev system. Int J Dyn Control 8(3):707–716

    Article  MathSciNet  Google Scholar 

  18. Makales A, Köse E, Coşkun S (2020) Tme-delay AVR System analyss using PSO-based PID controller. Eur J Scence Technol 18(18):981–991

    Google Scholar 

  19. Luintel MC, Vyas NS (Dec. 2019) Dynamic response and stability of a spinning turbine blade subjected to pitching and yawing. Int J Dyn Control 7(4):1252–1277

    Article  MathSciNet  Google Scholar 

  20. Mondal J, Chatterjee S (2019) Mitigating vortex-induced vibration by acceleration feedback control. Int J Dyn Control 8:570–580

    Article  MathSciNet  Google Scholar 

  21. Nasution AA, Jeng J, Huang H (2011) Optimal H 2 IMC-PID controller with set-point weighting for time-delayed unstable processes. Ind Eng Chem Res 50:4567–4578

    Article  Google Scholar 

  22. Anusha AVNL, Rao AS (2012) Design and analysis of IMC based PID controller for unstable systems for enhanced closed loop performance. IFAC Proceedings Volumes 2(1):41–46

    Article  Google Scholar 

  23. Liu T, Furong G (2010) Closed-loop step response identification of integrating and unstable processes. Eng Sci 68(5):2884–2895

    Article  Google Scholar 

  24. Onat C (2019) A new design method for PI–PD control of unstable processes with dead time. ISA Trans 84:69–81

    Article  Google Scholar 

  25. Nasution AA, Jeng JC, Huang HP (2011) Optimal H2 IMC-PID controller with set-point weighting for time-delayed unstable processes. Ind Eng Chem Res 50(8):4567–4578

    Article  Google Scholar 

  26. Rao AS, Rao VSR, Chidambaram M (2007) Simple analytical design of modified smith predictor with improved performance for unstable first-order plus time delay (FOPTD) processes. Ind Eng Chem Res 46(13):4561–4571

    Article  Google Scholar 

  27. Wang D, Liu T, Sun X, Zhong C (2016) Discrete-time domain two-degree-of-freedom control design for integrating and unstable processes with time delay. ISA Trans 63:121–132

    Article  Google Scholar 

  28. Rao AS, Chidambaram M (2008) Analytical design of modified Smith predictor in a two-degrees-of-freedom control scheme for second order unstable processes with time delay. ISA Trans 47(4):407–419

    Article  Google Scholar 

  29. Kumar DBS, Padma Sree R (2016) Tuning of IMC based PID controllers for integrating systems with time delay. ISA Trans 63:242–255

    Article  Google Scholar 

  30. Ajmeri M, Ali M (2015) Two degree of freedom control scheme for unstable processes with small time delay. ISA Trans 56:308–326

    Article  Google Scholar 

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Correspondence to Seshagiri Rao Ambati.

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Ediga, C.G., Ambati, S.R. Measurement noise filter design for unstable time delay processes in closed loop control. Int. J. Dynam. Control 10, 138–161 (2022). https://doi.org/10.1007/s40435-021-00798-0

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  • DOI: https://doi.org/10.1007/s40435-021-00798-0

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