Skip to main content

2011 | OriginalPaper | Buchkapitel

7. Digital Control Strategies

verfasst von : Prof. Ioan Doré Landau, Prof. Rogelio Lozano, Prof. Mohammed M’Saad, Prof. Alireza Karimi

Erschienen in: Adaptive Control

Verlag: Springer London

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

search-config
loading …

Abstract

Building an adaptive control system supposes that in the case in which the plant parameters are known, a controller achieving the desired performances can be designed. Therefore this chapter reviews a number of digital control strategies used for the design of the underlying controller whose parameters will be adapted. Pole placement, tracking and regulation with independent objectives, minimum variance control, generalized predictive control and linear quadratic control are presented in detail.

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!

Fußnoten
1
The quantity \(y(t+d+1)+\lambda\frac{Q}{P}u(t)\) is often interpreted as a “generalized output”.
 
2
Another formulation allowing an even stronger analogy with the pole placement involves the choices: P=P D and Q=P D H S /H R instead of (7.189) and (7.190) which will force some of the poles of the closed loop to be equal to P D . However, a similar result is obtained with (7.193) using a predictor for e y (t+j) with a dynamics defined by P D .
 
Literatur
Zurück zum Zitat Anderson BDO, Moore J (1971) Linear optimal control. Prentice Hall, Englewood Cliffs MATH Anderson BDO, Moore J (1971) Linear optimal control. Prentice Hall, Englewood Cliffs MATH
Zurück zum Zitat Åström KJ, Hagander P, Sternby J (1984) Zeros of sampled systems. Automatica 20:31–38 MATHCrossRef Åström KJ, Hagander P, Sternby J (1984) Zeros of sampled systems. Automatica 20:31–38 MATHCrossRef
Zurück zum Zitat Clarke D, Gawthrop PJ (1975) A self-tuning controller. Proc IEEE 122:929–934 Clarke D, Gawthrop PJ (1975) A self-tuning controller. Proc IEEE 122:929–934
Zurück zum Zitat Clarke D, Gawthrop PJ (1979) Self-tuning control. Proc IEEE 126(6):633–640 Clarke D, Gawthrop PJ (1979) Self-tuning control. Proc IEEE 126(6):633–640
Zurück zum Zitat Clarke DW, Scatollini R (1991) Constrained receding horizon predictive control. In: Proc IEE-D, vol 138, pp 347–354 Clarke DW, Scatollini R (1991) Constrained receding horizon predictive control. In: Proc IEE-D, vol 138, pp 347–354
Zurück zum Zitat Clarke D, Tuffs P, Mohtadi C (1987) Generalized predictive control. Automatica 23:137–160 MATHCrossRef Clarke D, Tuffs P, Mohtadi C (1987) Generalized predictive control. Automatica 23:137–160 MATHCrossRef
Zurück zum Zitat De Nicolao G, Scatollini R (1994) Stability and output terminal constraints in predictive control. In: Clarke DW (ed) Advances in model based predictive control. Oxford University Press, Oxford De Nicolao G, Scatollini R (1994) Stability and output terminal constraints in predictive control. In: Clarke DW (ed) Advances in model based predictive control. Oxford University Press, Oxford
Zurück zum Zitat Franklin GF, Powell JD, Workman M (1990) Digital control of dynamic systems, 2nd edn. Addison Wesley, Reading MATH Franklin GF, Powell JD, Workman M (1990) Digital control of dynamic systems, 2nd edn. Addison Wesley, Reading MATH
Zurück zum Zitat Goodwin GC, Sin KS (1984) Adaptive filtering prediction and control. Prentice Hall, New York MATH Goodwin GC, Sin KS (1984) Adaptive filtering prediction and control. Prentice Hall, New York MATH
Zurück zum Zitat Ionescu T, Monopoli R (1977) Discrete model reference adaptive control with an augmented error signal. Automatica 13:507–518 MATHCrossRef Ionescu T, Monopoli R (1977) Discrete model reference adaptive control with an augmented error signal. Automatica 13:507–518 MATHCrossRef
Zurück zum Zitat Irving E, Falinower CM, Fonte C (1986) Adaptive generalized predictive control with multiple reference models. In: Proc 2nd IFAC workshop on adaptive systems in control and signal processing, Lund, Sweden Irving E, Falinower CM, Fonte C (1986) Adaptive generalized predictive control with multiple reference models. In: Proc 2nd IFAC workshop on adaptive systems in control and signal processing, Lund, Sweden
Zurück zum Zitat Lam K (1982) Design of stochastic discrete-time linear optimal control. Int J Syst Sci 13(19):979–1011 MATHCrossRef Lam K (1982) Design of stochastic discrete-time linear optimal control. Int J Syst Sci 13(19):979–1011 MATHCrossRef
Zurück zum Zitat Landau ID (1979) Adaptive control—the model reference approach. Marcel Dekker, New York MATH Landau ID (1979) Adaptive control—the model reference approach. Marcel Dekker, New York MATH
Zurück zum Zitat Landau ID (1981) Model reference adaptive controllers and stochastic self-tuning regulators: a unified approach. Trans ASME, J Dyn Syst Meas Control 103:404–414 MATHCrossRef Landau ID (1981) Model reference adaptive controllers and stochastic self-tuning regulators: a unified approach. Trans ASME, J Dyn Syst Meas Control 103:404–414 MATHCrossRef
Zurück zum Zitat Landau ID (1990b) System identification and control design. Prentice Hall, Englewood Cliffs MATH Landau ID (1990b) System identification and control design. Prentice Hall, Englewood Cliffs MATH
Zurück zum Zitat Landau ID (1993b) Identification et Commande des Systèmes, 2nd edn. Série Automatique. Hermès, Paris MATH Landau ID (1993b) Identification et Commande des Systèmes, 2nd edn. Série Automatique. Hermès, Paris MATH
Zurück zum Zitat Landau ID, Lozano R (1981) Unification and evaluation of discrete-time explicit model reference adaptive designs. Automatica 17(4):593–611 MathSciNetMATHCrossRef Landau ID, Lozano R (1981) Unification and evaluation of discrete-time explicit model reference adaptive designs. Automatica 17(4):593–611 MathSciNetMATHCrossRef
Zurück zum Zitat Morari M, Zafiriou E (1989) Robust process control. Prentice Hall International, Englewood Cliffs Morari M, Zafiriou E (1989) Robust process control. Prentice Hall International, Englewood Cliffs
Zurück zum Zitat M’Saad M, Sanchez G (1992) Partial state model reference adaptive control of multivariable systems. Automatica 28(6):1189–1194 MathSciNetMATHCrossRef M’Saad M, Sanchez G (1992) Partial state model reference adaptive control of multivariable systems. Automatica 28(6):1189–1194 MathSciNetMATHCrossRef
Zurück zum Zitat M’Saad M, Duque M, Landau ID (1986) Practical implications of recent results in robustness of adaptive control schemes. In: Proc of IEEE 25th CDC, Athens, Greece M’Saad M, Duque M, Landau ID (1986) Practical implications of recent results in robustness of adaptive control schemes. In: Proc of IEEE 25th CDC, Athens, Greece
Zurück zum Zitat M’Saad M, Landau ID, Samaan M (1990) Further evaluation of the partial state reference model adaptive control design. Int J Adapt Control Signal Process 4(2):133–146 CrossRef M’Saad M, Landau ID, Samaan M (1990) Further evaluation of the partial state reference model adaptive control design. Int J Adapt Control Signal Process 4(2):133–146 CrossRef
Zurück zum Zitat M’Saad M, Dugard L, Hammad S (1993a) A suitable generalized predictive adaptive controller case study: control of a flexible arm. Automatica 29(3):589–608 MathSciNetMATHCrossRef M’Saad M, Dugard L, Hammad S (1993a) A suitable generalized predictive adaptive controller case study: control of a flexible arm. Automatica 29(3):589–608 MathSciNetMATHCrossRef
Zurück zum Zitat Richalet J, Rault A, Testud JL, Papon J (1978) Model predictive heuristic control: applications to industrial processes. Automatica 14:413–428 CrossRef Richalet J, Rault A, Testud JL, Papon J (1978) Model predictive heuristic control: applications to industrial processes. Automatica 14:413–428 CrossRef
Zurück zum Zitat Samson C (1982) An adaptive LQ controller for non-minimum phase systems. Int J Control 3:389–397 MathSciNetMATH Samson C (1982) An adaptive LQ controller for non-minimum phase systems. Int J Control 3:389–397 MathSciNetMATH
Zurück zum Zitat Tsypkin YZ (1993) Robust internal model control. Trans ASME, J Dyn Syst Meas Control 115:419–425 MATHCrossRef Tsypkin YZ (1993) Robust internal model control. Trans ASME, J Dyn Syst Meas Control 115:419–425 MATHCrossRef
Metadaten
Titel
Digital Control Strategies
verfasst von
Prof. Ioan Doré Landau
Prof. Rogelio Lozano
Prof. Mohammed M’Saad
Prof. Alireza Karimi
Copyright-Jahr
2011
Verlag
Springer London
DOI
https://doi.org/10.1007/978-0-85729-664-1_7

Neuer Inhalt