Skip to main content

2021 | OriginalPaper | Buchkapitel

Overshoot and Settling Time Assignment for Second-Order Systems with Time Delay

verfasst von : Nam Hoai Nguyen, Phuoc Doan Nguyen

Erschienen in: Advances in Engineering Research and Application

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this work, an overshoot and settling time assignment (OSA) method with filter PID is proposed for second-order system, and a control strategy is also come up with for linear time-delay systems. Then, a PID based controller design method, aimed at as small overshoot and settling time as desired, is developed for second-order systems with time delay. Some numerical simulations are given to illustrate the proposed method.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Ziegler, J.G., Nichols, N.B.: Optimum settings for automatic controllers. Trans. ASME 64, 759–768 (1942) Ziegler, J.G., Nichols, N.B.: Optimum settings for automatic controllers. Trans. ASME 64, 759–768 (1942)
2.
Zurück zum Zitat Piccagli, S., Visioli, A.: Minimum-time feedforward technique for PID control. IET Control Theory Appl. 3(10), 1341–1350 (2009)MathSciNetCrossRef Piccagli, S., Visioli, A.: Minimum-time feedforward technique for PID control. IET Control Theory Appl. 3(10), 1341–1350 (2009)MathSciNetCrossRef
3.
Zurück zum Zitat Ntogramatzidis, L., Ferrante, A.: Exact tuning of PID controllers in control feedback design. IET Control Theory Appl. 5(4), 565–578 (2011)MathSciNetCrossRef Ntogramatzidis, L., Ferrante, A.: Exact tuning of PID controllers in control feedback design. IET Control Theory Appl. 5(4), 565–578 (2011)MathSciNetCrossRef
4.
Zurück zum Zitat Wang, D.J.: Synthesis of PID controllers for high-order plants with time-delay. J. Process Control 19, 1763–1768 (2009)CrossRef Wang, D.J.: Synthesis of PID controllers for high-order plants with time-delay. J. Process Control 19, 1763–1768 (2009)CrossRef
5.
Zurück zum Zitat Padhan, D.G., Majhi, S.: Modified Smith predictor and controller for time delay processes. Electron. Lett. 47(17), 1–2 (2011)CrossRef Padhan, D.G., Majhi, S.: Modified Smith predictor and controller for time delay processes. Electron. Lett. 47(17), 1–2 (2011)CrossRef
6.
Zurück zum Zitat Jin, C.Y., et al.: PID auto-tuning using new model reduction method and explicit PID tuning rule for a fractional order plus time delay model. J. Pr. Cont. 24, 113–128 (2014) Jin, C.Y., et al.: PID auto-tuning using new model reduction method and explicit PID tuning rule for a fractional order plus time delay model. J. Pr. Cont. 24, 113–128 (2014)
7.
Zurück zum Zitat Nie, Z., Wang, Q., Liu, R., Lan, Y.: Identification and PID control for a class of delay fractional-order systems. IEEE/CAA J. Auto. Sini. 3(4), 463–476 (2016)MathSciNetCrossRef Nie, Z., Wang, Q., Liu, R., Lan, Y.: Identification and PID control for a class of delay fractional-order systems. IEEE/CAA J. Auto. Sini. 3(4), 463–476 (2016)MathSciNetCrossRef
8.
Zurück zum Zitat Srivastava, S., Misra, A., Thakur, S.K., Pandit, V.S.: An optimal PID controller via LQR for standard second order plus time delay systems. ISA Trans. 60, 244–253 (2016)CrossRef Srivastava, S., Misra, A., Thakur, S.K., Pandit, V.S.: An optimal PID controller via LQR for standard second order plus time delay systems. ISA Trans. 60, 244–253 (2016)CrossRef
9.
Zurück zum Zitat Mercader, P., et. al.: Robust proportional integral derivative design for processes with interval parametric uncertainty. IET Cont. Theo. Appl. 11(7), 1016–1023 (2017) Mercader, P., et. al.: Robust proportional integral derivative design for processes with interval parametric uncertainty. IET Cont. Theo. Appl. 11(7), 1016–1023 (2017)
10.
Zurück zum Zitat Wang, L.: Automatic tuning of PID controllers using frequency sampling filters. IET Control Theory Appl. 11(7), 985–995 (2017)MathSciNetCrossRef Wang, L.: Automatic tuning of PID controllers using frequency sampling filters. IET Control Theory Appl. 11(7), 985–995 (2017)MathSciNetCrossRef
11.
Zurück zum Zitat Firouzbahrami, M., Nobakhti, A.: Reliable computation of PID gain space for general second-order time-delay systems. Int. J. Control 90(10), 1–13 (2017)MathSciNetCrossRef Firouzbahrami, M., Nobakhti, A.: Reliable computation of PID gain space for general second-order time-delay systems. Int. J. Control 90(10), 1–13 (2017)MathSciNetCrossRef
12.
Zurück zum Zitat Begum, K.G., Rao, A.S., Radhakrishnan, T.K.: Optimal controller synthesis for second order time delay systems with at least one RHP pole. ISA Trans. 73, 181–188 (2018)CrossRef Begum, K.G., Rao, A.S., Radhakrishnan, T.K.: Optimal controller synthesis for second order time delay systems with at least one RHP pole. ISA Trans. 73, 181–188 (2018)CrossRef
13.
Zurück zum Zitat Grimholt, C., Skogestad, S.: Optimal PI and PID control of first-order plus delay processes and evaluation of the original and improved SIMC rules. J. Pr. Cont. 70, 36–46 (2018)CrossRef Grimholt, C., Skogestad, S.: Optimal PI and PID control of first-order plus delay processes and evaluation of the original and improved SIMC rules. J. Pr. Cont. 70, 36–46 (2018)CrossRef
14.
Zurück zum Zitat Grimholt, C., Skogestad, S.: Optimization of fixed-order controllers using exact gradients. J. Process Control 71, 130–138 (2018)CrossRef Grimholt, C., Skogestad, S.: Optimization of fixed-order controllers using exact gradients. J. Process Control 71, 130–138 (2018)CrossRef
16.
Zurück zum Zitat Ma, D., Chen, J., Liu, A., et al.: Explicit bounds for guaranteed stabilization by PID control of second-order unstable delay systems. Automatica 100, 407–411 (2019)MathSciNetCrossRef Ma, D., Chen, J., Liu, A., et al.: Explicit bounds for guaranteed stabilization by PID control of second-order unstable delay systems. Automatica 100, 407–411 (2019)MathSciNetCrossRef
17.
Zurück zum Zitat Verma, B., Padhy, P.K.: Optimal PID controller design with adjustable maximum sensitivity. IET Control Theory Appl. 12(8), 1156–1165 (2018)MathSciNetCrossRef Verma, B., Padhy, P.K.: Optimal PID controller design with adjustable maximum sensitivity. IET Control Theory Appl. 12(8), 1156–1165 (2018)MathSciNetCrossRef
18.
Zurück zum Zitat Onat, C.: A new design method for PI/PD control of unstable processes with dead time. ISA Trans. 84, 69–81 (2019)CrossRef Onat, C.: A new design method for PI/PD control of unstable processes with dead time. ISA Trans. 84, 69–81 (2019)CrossRef
19.
Zurück zum Zitat Villafuerte, S., et al.: Tuning of a time-delayed controller for a general class of second-order LTI systems with dead-time. IET Cont. Theo. Appl. 13(3), 451–457 (2019) Villafuerte, S., et al.: Tuning of a time-delayed controller for a general class of second-order LTI systems with dead-time. IET Cont. Theo. Appl. 13(3), 451–457 (2019)
20.
Zurück zum Zitat Sanz, R., Garcia, P., Albertos, P.: A generalized smith predictor for unstable time delay SISO systems. ISA Trans. 72, 197–204 (2018)CrossRef Sanz, R., Garcia, P., Albertos, P.: A generalized smith predictor for unstable time delay SISO systems. ISA Trans. 72, 197–204 (2018)CrossRef
21.
Zurück zum Zitat Nguyen, N.H., Nguyen, P.D.: Overshoot and settling time assignment with PID for first-order and second-order systems. IET Cont. Theo. Appl. 12(17), 2407–2416 (2018)MathSciNetCrossRef Nguyen, N.H., Nguyen, P.D.: Overshoot and settling time assignment with PID for first-order and second-order systems. IET Cont. Theo. Appl. 12(17), 2407–2416 (2018)MathSciNetCrossRef
22.
Zurück zum Zitat Chen, W.K.: Linear Networks and Systems, pp. 123–135. Wadsworth, Belmont (1993) Chen, W.K.: Linear Networks and Systems, pp. 123–135. Wadsworth, Belmont (1993)
Metadaten
Titel
Overshoot and Settling Time Assignment for Second-Order Systems with Time Delay
verfasst von
Nam Hoai Nguyen
Phuoc Doan Nguyen
Copyright-Jahr
2021
DOI
https://doi.org/10.1007/978-3-030-64719-3_72

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.