Skip to main content

2016 | OriginalPaper | Buchkapitel

Sliding Mode Observation with Iterative Parameter Adaption for Fast-Switching Solenoid Valves

verfasst von : Tristan Braun, Johannes Reuter

Erschienen in: Variable-Structure Approaches

Verlag: Springer International Publishing

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

search-config
loading …

Abstract

Control of the armature motion of fast-switching solenoid valves is highly desired to reduce noise emission and wear of material. For feedback control, information of the current position and velocity of the armature are necessary. In mass production applications, however, position sensors are unavailable due to cost and fabrication reasons. Thus, position estimation by measuring merely electrical quantities is a key enabler for advanced control, and, hence, for efficient and robust operation of digital valves in advanced hydraulic applications. The work presented here addresses the problem of state estimation, i.e., position and velocity of the armature, by sole use of electrical measurements. The considered devices typically exhibit nonlinear and very fast dynamics, which makes observer design a challenging task. In view of the presence of parameter uncertainty and possible modeling inaccuracy, the robustness properties of sliding mode observation techniques are deployed here. The focus is on error convergence in the presence of several sources for modeling uncertainty and inaccuracy. Furthermore, the cyclic operation of switching solenoids is exploited to iteratively correct a critical parameter by taking into account the norm of the observation error of past switching cycles of the process. A thorough discussion on real-world experimental results highlights the usefulness of the proposed state observation approach.

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!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
It should be noticed that standard solenoid valves with a single coil can be considered, too.
 
2
Compare with [11], where a more sophisticated contact force model is used in this context.
 
3
Regarding equivalent output injection, compare [8], and see [18] for an application-driven design.
 
4
This is a scalar representation of the vector-valued identity in [23].
 
5
Calculation steps are shown for \(i=3\) due to a more compact notation.
 
Literatur
1.
Zurück zum Zitat Abry F, Brun X, Di Loreto M, Sesmat S, Bideaux É (2015) Piston position estimation for an electro-pneumatic actuator at standstill. Control Eng Pract 41:176–185CrossRef Abry F, Brun X, Di Loreto M, Sesmat S, Bideaux É (2015) Piston position estimation for an electro-pneumatic actuator at standstill. Control Eng Pract 41:176–185CrossRef
2.
Zurück zum Zitat Alessandri A, Cuneo M, Punta E (2010) State observers with first-/second-order sliding-mode for nonlinear systems with bounded noises. In: Proceedings of the 11th international workshop on variable structure systems (VSS), Mexico, pp 493–497 Alessandri A, Cuneo M, Punta E (2010) State observers with first-/second-order sliding-mode for nonlinear systems with bounded noises. In: Proceedings of the 11th international workshop on variable structure systems (VSS), Mexico, pp 493–497
3.
Zurück zum Zitat Alvarez J, Orlov YV, Acho L (2000) An invariance principle for discontinuous dynamic systems with application to a coulomb friction oscillator. ASME J Dyn Syst Meas Control 122(4):687–690 Alvarez J, Orlov YV, Acho L (2000) An invariance principle for discontinuous dynamic systems with application to a coulomb friction oscillator. ASME J Dyn Syst Meas Control 122(4):687–690
4.
Zurück zum Zitat Braun T, Schwab M, Straußberger F, Reuter J (2014) State estimation for fast-switching solenoid valves—a nonlinear sliding-mode-observer approach. In: 19th IEEE international conference on methods and models in automation and robotics (MMAR14), Miedzyzdroje, pp 282–287 Braun T, Schwab M, Straußberger F, Reuter J (2014) State estimation for fast-switching solenoid valves—a nonlinear sliding-mode-observer approach. In: 19th IEEE international conference on methods and models in automation and robotics (MMAR14), Miedzyzdroje, pp 282–287
5.
Zurück zum Zitat Braun T, Straußberger F, Reuter J (2015) State estimation for fast-switching solenoid valves: a study on practical nonlinear observers and new experimental results. In: 20th IEEE international conference on methods and models in automation and robotics (MMAR15), Miedzyzdroje, pp 862–867 Braun T, Straußberger F, Reuter J (2015) State estimation for fast-switching solenoid valves: a study on practical nonlinear observers and new experimental results. In: 20th IEEE international conference on methods and models in automation and robotics (MMAR15), Miedzyzdroje, pp 862–867
6.
Zurück zum Zitat Braun T, Straußberger F, Reuter J, Preissler G (2015) A semilinear distributed parameter approach for solenoid valve control including saturation effects. In: American control conference (ACC15), Chicago, pp 2600–2605 Braun T, Straußberger F, Reuter J, Preissler G (2015) A semilinear distributed parameter approach for solenoid valve control including saturation effects. In: American control conference (ACC15), Chicago, pp 2600–2605
7.
Zurück zum Zitat Danca M-F, Codreanu S (2002) On a possible approximation of discontinuous dynamical systems. Chaos Solitons Fractals 13(4):681–691MathSciNetCrossRefMATH Danca M-F, Codreanu S (2002) On a possible approximation of discontinuous dynamical systems. Chaos Solitons Fractals 13(4):681–691MathSciNetCrossRefMATH
8.
Zurück zum Zitat Drakunov S (1992) Sliding-mode observers based on equivalent control method. In: Proceedings of the 31st IEEE conference on decision and control vol 2. Tucson, pp 2368–2369 Drakunov S (1992) Sliding-mode observers based on equivalent control method. In: Proceedings of the 31st IEEE conference on decision and control vol 2. Tucson, pp 2368–2369
9.
Zurück zum Zitat Eyabi P, Washington G (2006) Modeling and sensorless control of an electromagnetic valve actuator. Mechatronics 16(3–4):159–175CrossRef Eyabi P, Washington G (2006) Modeling and sensorless control of an electromagnetic valve actuator. Mechatronics 16(3–4):159–175CrossRef
10.
Zurück zum Zitat Filippov A (1988) Differential equations with discontinuous righthand sides. Mathematics and its applications. Kluwer Academic Publishers, Dordrecht Filippov A (1988) Differential equations with discontinuous righthand sides. Mathematics and its applications. Kluwer Academic Publishers, Dordrecht
11.
Zurück zum Zitat Glück T (2013) Soft landing and self-sensing strategies for electromagnetic actuators. Modellierung und Regelung komplexer dynamischer Systeme. Shaker, Aachen Glück T (2013) Soft landing and self-sensing strategies for electromagnetic actuators. Modellierung und Regelung komplexer dynamischer Systeme. Shaker, Aachen
12.
Zurück zum Zitat Glück T, Kemmetmüller W, Kugi A (2011) Trajectory optimization for soft landing of fast-switching electromagnetic valves. In: Proceedings of the 18th IFAC world congress, Milano, pp 11532–11537 Glück T, Kemmetmüller W, Kugi A (2011) Trajectory optimization for soft landing of fast-switching electromagnetic valves. In: Proceedings of the 18th IFAC world congress, Milano, pp 11532–11537
13.
Zurück zum Zitat Glück T, Kemmetmüller W, Tump C, Kugi A (2011) A novel robust position estimator for self-sensing magnetic levitation systems based on least squares identification. Control Eng Pract 19(2):146–157CrossRef Glück T, Kemmetmüller W, Tump C, Kugi A (2011) A novel robust position estimator for self-sensing magnetic levitation systems based on least squares identification. Control Eng Pract 19(2):146–157CrossRef
14.
Zurück zum Zitat Haddad W, Chellaboina V (2011) Nonlinear dynamical systems and control: a Lyapunov-based approach. Princeton University Press, Princeton Haddad W, Chellaboina V (2011) Nonlinear dynamical systems and control: a Lyapunov-based approach. Princeton University Press, Princeton
15.
Zurück zum Zitat Haskara I, Özgüner Ü (1999) Equivalent value filters in disturbance estimation and state observation. In: Young K, Özgüner Ü (eds) Variable structure systems. Sliding mode and nonlinear control. Volume 247 of lecture notes in control and information sciences. Springer, London, pp 167–179 Haskara I, Özgüner Ü (1999) Equivalent value filters in disturbance estimation and state observation. In: Young K, Özgüner Ü (eds) Variable structure systems. Sliding mode and nonlinear control. Volume 247 of lecture notes in control and information sciences. Springer, London, pp 167–179
16.
Zurück zum Zitat Kallenbach E (2008) Elektromagnets: basics, dimensioning, design and application (in German). ViewegTeubner [GWV Fachverlage GmbH], Wiesbaden, 3rd edn Kallenbach E (2008) Elektromagnets: basics, dimensioning, design and application (in German). ViewegTeubner [GWV Fachverlage GmbH], Wiesbaden, 3rd edn
17.
Zurück zum Zitat Khalil H (2002) Nonlinear systems. Prentice Hall PTR, Upper Saddle River Khalil H (2002) Nonlinear systems. Prentice Hall PTR, Upper Saddle River
18.
Zurück zum Zitat Kim I-S (2010) A technique for estimating the state of health of Lithium batteries through a dual-sliding-mode observer. IEEE Trans Power Electron 25(4):1013–1022CrossRef Kim I-S (2010) A technique for estimating the state of health of Lithium batteries through a dual-sliding-mode observer. IEEE Trans Power Electron 25(4):1013–1022CrossRef
19.
Zurück zum Zitat Kogler H, Scheidl R (2008) Two basic concepts of hydraulic switching converters. In: Proceedings of the first workshop on digital fluid power DFP 2008, Tampere, pp 113–128 Kogler H, Scheidl R (2008) Two basic concepts of hydraulic switching converters. In: Proceedings of the first workshop on digital fluid power DFP 2008, Tampere, pp 113–128
20.
Zurück zum Zitat Linjama M (2011) Digital fluid power—state of the art. In: The Twelfth Scandinavian International conference on fluid power (SICFP), Tampere, pp 331–353 Linjama M (2011) Digital fluid power—state of the art. In: The Twelfth Scandinavian International conference on fluid power (SICFP), Tampere, pp 331–353
21.
Zurück zum Zitat Lynch AF, Koch CB, Chladny R (2003) Nonlinear observer design for sensorless electromagnetic actuators. Dynamics of continuous discrete and impulsive systems-Series B-applications and algorithms, special issue, pp 317–322 Lynch AF, Koch CB, Chladny R (2003) Nonlinear observer design for sensorless electromagnetic actuators. Dynamics of continuous discrete and impulsive systems-Series B-applications and algorithms, special issue, pp 317–322
22.
Zurück zum Zitat Orlov Y (2009) Discontinuous systems: Lyapunov analysis and robust synthesis under uncertainty conditions. Communications and control engineering. Springer, London Orlov Y (2009) Discontinuous systems: Lyapunov analysis and robust synthesis under uncertainty conditions. Communications and control engineering. Springer, London
23.
Zurück zum Zitat Poznyak AS (2004) Deterministic output noise effects in sliding mode observation. In: Sabanovic A, Fridman LM, Spurgeon S (eds) Variable structure systems: from principles to implementation. IEE control engineering series vol 66. The Institution of Engineering and Technology (IET), London, pp 45–80 Poznyak AS (2004) Deterministic output noise effects in sliding mode observation. In: Sabanovic A, Fridman LM, Spurgeon S (eds) Variable structure systems: from principles to implementation. IEE control engineering series vol 66. The Institution of Engineering and Technology (IET), London, pp 45–80
24.
Zurück zum Zitat Reinertz O, Murrenhoff H (2009) Dynamic modeling of switching valves: an approach for one-dimensional simulation (in German). O+P Ölhydraulik und Pneumatik 16(4):152–155 Reinertz O, Murrenhoff H (2009) Dynamic modeling of switching valves: an approach for one-dimensional simulation (in German). O+P Ölhydraulik und Pneumatik 16(4):152–155
25.
Zurück zum Zitat Reuter J (2006) Flatness based control of a dual coil solenoid valve. In: 4th IFAC symposium on mechatronic systems. Ruprecht-Karls-University, Germany, pp 48–54 Reuter J (2006) Flatness based control of a dual coil solenoid valve. In: 4th IFAC symposium on mechatronic systems. Ruprecht-Karls-University, Germany, pp 48–54
26.
Zurück zum Zitat Shtessel Y, Edwards C, Fridman L, Levant A (2014) Sliding mode control and observation. Control engineering. Birkhäuser, Basel Shtessel Y, Edwards C, Fridman L, Levant A (2014) Sliding mode control and observation. Control engineering. Birkhäuser, Basel
27.
Zurück zum Zitat Straußberger F, Schwab M, Braun T, Reuter J (2014) Position estimation in electro-magnetic actuators using a modified discrete time class a/b model reference approach. In: American control conference (ACC14), Portland, pp 3686–3691 Straußberger F, Schwab M, Braun T, Reuter J (2014) Position estimation in electro-magnetic actuators using a modified discrete time class a/b model reference approach. In: American control conference (ACC14), Portland, pp 3686–3691
28.
Zurück zum Zitat Utkin V (1992) Sliding modes in control and optimization. Communications and control engineering. Springer, Berlin Utkin V (1992) Sliding modes in control and optimization. Communications and control engineering. Springer, Berlin
29.
Zurück zum Zitat Yaz E, Azemi A (1993) Variable structure observer with a boundary-layer for correlated noise/disturbance models and disturbance minimization. Int J Control 57(5):1191–1206MathSciNetCrossRefMATH Yaz E, Azemi A (1993) Variable structure observer with a boundary-layer for correlated noise/disturbance models and disturbance minimization. Int J Control 57(5):1191–1206MathSciNetCrossRefMATH
30.
Zurück zum Zitat Zeitz M (1977) Nonlinear observers for chemical reactors (in German). Fortschrittberichte der VDI-Zeitschriften; Nr. 27. VDI-Verlag, Düsseldorf Zeitz M (1977) Nonlinear observers for chemical reactors (in German). Fortschrittberichte der VDI-Zeitschriften; Nr. 27. VDI-Verlag, Düsseldorf
Metadaten
Titel
Sliding Mode Observation with Iterative Parameter Adaption for Fast-Switching Solenoid Valves
verfasst von
Tristan Braun
Johannes Reuter
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-31539-3_7

    Marktübersichten

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