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Type-III Control Loops

  • Konstantinos G. PapadopoulosEmail author
Chapter
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Abstract

In this chapter, the problem of designing PID type-III control loops is investigated. On a theoretical basis and if frequency domain modeling is followed, type-III control loops are characterized by the presence of three pure integrators in the open loop transfer function, see Sect.  2.1. Therefore, such a control scheme has the advantage of tracking fast reference signals since it exhibits zero steady state position, velocity and acceleration error, see Sect.  2.1. This advantage is considered critical in many industry applications, i.e. control of electrical motor drives, control of power converters, since it allows the output variable, i.e., DC-link voltage or speed, to track perfectly step, ramp and parabolic reference signals. In a similar fashion, with Chaps.  3 and  4, the proposed PID control law (1) consists of analytical expressions that involve all modeled process parameters (2) can be straightforward applied to any process regardless of its complexity since for its development a generalized transfer function process model is employed consisting of \(n\)-poles, \(m\)-zeros plus unknown time delay-\(d\) (3) allows for accurate investigation of the performance of the control action to exogenous and internal disturbances in the control loop, investigation of different operating points. For justifying the potential of the proposed control law, several examples of process models met in many industry applications are investigated.

Keywords

Open-loop Transfer Function Acceleration Error Nonminimum Phase Process Pole-zero Cancellation Conventional Tuning 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Åström KJ, Hägglund T (1995) PID controllers: theory, design and tuning, 2nd edn. Instrument Society of America, Research Triangle ParkGoogle Scholar
  2. 2.
    Kessler C (1958) Das symmetrische optimum. Regelungstechnik, pp 395–400 and 432–426Google Scholar
  3. 3.
    Margaris NI (2003) Lectures in applied automatic control (in Greek), 1st edn. TziolasGoogle Scholar
  4. 4.
    Oldenbourg RC, Sartorius H (1954) A uniform approach to the optimum adjustment of control loops. Trans ASME 76:1265–1279Google Scholar
  5. 5.
    Papadopoulos KG, Margaris NI (2012) Extending the symmetrical optimum criterion to the design of PID type-p control loops. J Process Control 12(1):11–25CrossRefGoogle Scholar
  6. 6.
    Papadopoulos KG, Mermikli K, Margaris NI (2011a) Optimal tuning of PID controllers for integrating processes via the symmetrical optimum criterion. In: 19th mediterranean conference on control & automation (MED), IEEE, Corfu, Greece, pp 1289–1294Google Scholar
  7. 7.
    Papadopoulos KG, Papastefanaki EN, Margaris NI (2011b) Optimal tuning of PID controllers for type-III control loops. In: 19th mediterranean conference on control & automation (MED), IEEE, Corfu, Greece, pp 1295–1300Google Scholar
  8. 8.
    Papadopoulos KG, Papastefanaki EN, Margaris NI (2012a) Automatic tuning of PID type-III control loops via the symmetrical optimum criterion. In: International conference on industrial technology, (ICIT), IEEE, Athens, Greece, pp 881–886Google Scholar
  9. 9.
    Papadopoulos KG, Tselepis ND, Margaris NI (2012b) Revisiting the magnitude optimum criterion for robust tuning of PID type-I control loops. J Process Control 22(6):1063–1078Google Scholar
  10. 10.
    Papadopoulos KG, Papastefanaki EN, Margaris NI (2013) Explicit analytical PID tuning rules for the design of type-III control loops. IEEE Trans Ind Electron 60(10):4650–4664CrossRefGoogle Scholar
  11. 11.
    Poulin E, Pomerleau A (1999) PI settings for integrating processes based on ultimate cycle information. IEEE Trans Control Syst Technol 7(4):509–511CrossRefGoogle Scholar
  12. 12.
    Preitl S, Precup RE (1999) An extension of tuning relation after symmetrical optimum method for PI and PID controllers. Automatica 35(10):1731–1736CrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.ATDDABB IndustriesTurgiSwitzerland

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