Skip to main content

A Robust Adaptive Self-tuning Sliding Mode Control for a Hybrid Actuator in Camless Internal Combustion Engines

  • Chapter
  • First Online:

Part of the book series: Studies in Computational Intelligence ((SCI,volume 576))

Abstract

This contribution deals with an adaptive sliding mode control for a hybrid actuator consisting of a piezo, a mechanicacal and a hydraulic part that can be used for camless engine motor applications. The control structure comprises a feedforward controller and a sliding mode controller. The general approach of this actuator is to use the advantages of both systems, the high precision of the piezoelectric actuator and the force of the hydraulic part. In fact, piezoelectric actuators (PEAs) are commonly used for precise positioning, despite PEAs present nonlinearities, such as hysteresis, saturations, and creep. A sliding mode control is proposed and for deriving the structure of such a controller a Lyapunov approach is used. An adaptive self-tuning algorithm is realised. The conceived sliding mode control takes the hydraulic actuator in a resonance operating point which corresponds to the rotational speed of the engine. When the engine speed changes, the sliding mode controller adapts its parameter in a way that the resonance frequency of the controlled hydraulic part of the actuator changes and corresponds to the working frequency of the engine. The resulting controller is therefor totally self-tuning and robust with respect to the model parameter variation. Asymptotic tracking is shown using Lyapunov approach. Moreover, the proposed technique avoids a switching function for the calculation of the equivalent signal of the sliding mode controller. In this way the chattering problem is completely avoided. Simulations with real data of a camless engine are presented.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  • Adriaens, H.J.M.T.A., de Koning, W.L., Banning, R.: Modeling piezoelectric actuators. IEEE/ASME Trans. Mechatron. 5(4), 331–341 (2000)

    Article  Google Scholar 

  • Alanisa, A.Y., Sanchezb, E.N., Loukianov, A.G.: Real-time output trajectory tracking neural sliding mode controller for induction motors. Journal of The Franklin Institute 351(4), 2315–2334 (2014)

    Article  MathSciNet  Google Scholar 

  • Corradini, M.L., Jetto, L., Parlangeli, G.: Robust stabilization of multivariable uncertain plants via switching control. IEEE Trans. Autom. Control 49(1), 107–114 (2004)

    Article  Google Scholar 

  • Ferrara, A., Vecchio, C.: Second-order sliding mode control of a platoon of vehicles. Int. J. Model. Ident. Control 3(3), 277–285 (2008)

    Article  Google Scholar 

  • Gan, W.C., Cheung, N.C.: Development and control of a low-cost linear variable-reluctance motor for precision manufactoring for automation. IEEE/ASME Trans. Mechatron. 8(3), 326–333 (2003)

    Article  Google Scholar 

  • Hoffmann, W., Stefanopoulou, A.G.: Iterative learning control of electromechanical camless valve actuator. In: Proceedings of American Control Conference, vol. 4, pp. 2860–2866, Arlington, June 2001

    Google Scholar 

  • Jian-Xin, X., Abidi, K.: Discrete-time output integral sliding-mode control for a piezomotor-driven linear motion stage. IEEE Trans. Industr. Electron. 55(11), 3917–3926 (2008)

    Article  Google Scholar 

  • Jie, S., Yong, Z., Chengliang, Y.: Longitudinal brake control of hybrid electric bus using adaptive fuzzy sliding mode control. Int. J. Model. Ident. Control 3(3), 270–276 (2008)

    Article  Google Scholar 

  • Jou, C.-H., Lu, J.-S., Chen, M.-Y.: Adaptive fuzzy controller for a precision positioner using electro-magnetic actuator. Int. J. Fuzzy Syst. 4(1), 110–116 (2012)

    MathSciNet  Google Scholar 

  • Jou, C.-H., Lu, J.-S., Chen, M.-Y.: Adaptive fuzzy controller for a precision positioner using electro-magnetic actuator. Int. J. Fuzzy Syst. 4(1), 110–116 (2012)

    MathSciNet  Google Scholar 

  • Lee, V., Lee, D., Won, S.: Precise tracking control of piezo actuator using sliding mode control with feedforward compensation. In: Proceedings of the SICE Annual Conference 2010 (2010)

    Google Scholar 

  • Lee, J.-D., Duan, R.-Y.: Cascade modeling and intelligent control design for an electromagnetic guiding system. IEEE/ASME Trans. Mechatron. 16(3), 470–479 (2011)

    Article  MathSciNet  Google Scholar 

  • Levant, A.: Chattering analysis. IEEE Trans. Autom. Control 55(6), 1380–1389 (2010)

    Article  MathSciNet  Google Scholar 

  • Levant, A., Fridman, L.M.: Accuracy of homogeneous sliding modes in the presence of fast actuators. IEEE Trans. Autom. Control 55(3), 810–814 (2010)

    Article  MathSciNet  Google Scholar 

  • Loukianov, A.G., Vittek, J., Castillo-Toledo, B.: A robust automotive controller design. Int. J. Model. Ident. Control 3(3), 270–276 (2008)

    Article  Google Scholar 

  • Mercorelli, P., Werner, N.: A hybrid actuator modelling and hysteresis effect identification in camless internal combustion engines control. Int. J. Model. Ident. Control 21(3), 264–269 (2014)

    Google Scholar 

  • Mercorelli, P.: An anti-saturating adaptive pre-action and a slide surface to achieve soft landing control for electromagnetic actuators. IEEE/ASME Trans. Mechatron. 17(1), 76–85 (2012)

    Article  Google Scholar 

  • Mercorelli, P.: A two-stage augmented extended kalman filter as an observer for sensorless valve control in camless internal combustion engines. IEEE Trans. Industr. Electron. 59(11), 4236–4247 (2012)

    Article  Google Scholar 

  • Mercorelli, P.: A hysteresis hybrid extended kalman filter as an observer for sensorless valve control in camless internal combustion engines. IEEE Trans. Ind. Appl. 48(6), 1940–1949 (2012)

    Article  Google Scholar 

  • Murrenhoff, H.: Servohydraulik. Shaker, Aachen (2002)

    Google Scholar 

  • Nguyen, T., Leavitt, J., Jabbari, F., Bobrow, J.E.: Accurate sliding-mode control of pneumatic systems using low-cost solenoid valves. IEEE/ASME Trans. Mechatron. 12(2), 216–219 (2007)

    Article  Google Scholar 

  • Pan, Y., Ozgiiner, 0., Dagci, O.H.: Variable-structure control of electronic throttle valve. IEEE Trans. Industr. Electron. 55(11), 3899–3907 (2008)

    Article  Google Scholar 

  • Peterson, K.S., Stefanopoulou, A.G.: Rendering the elecreomechanical valve actuator globally asymptotically stable. In: Proceedings of the 42nd IEEE Conference on Decision and Control, vol. 2, pp. 1753–1758, Maui, Dec 2003

    Google Scholar 

  • Ran, Z., Xueli, W., Zhang, Q., Quanmin, Z., Nouri, H.: The modelling and sliding mode control study of sewage treatment system. Proceedings of International Conference on Modelling, Identification and Control (ICMIC) 2012, pp. 908–913. Wuhan, Hubei, June 2012

    Google Scholar 

  • She, J.H., Xin, X., Pan, Y.: Equivalent-input-disturbance approach: analysis and application to disturbance rejection in dual-stage feed drive control system. IEEE/ASME Trans. Mechatron. 16(2), 330–340 (2011)

    Article  Google Scholar 

  • Tai, C., Tsao, T.: Control of an electromechanical actuator for camless engines. In: Proceedings of American Control Conference, Denver, June 2003

    Google Scholar 

  • Xinkai, C., Hisayama, T.: Adaptive sliding-mode position control for piezo-actuated stage. IEEE Trans. Industr. Electron. 55(11), 3927–3934 (2008)

    Article  Google Scholar 

  • Yang, Y.-P., Liu, J.-J., Ye, D.-H., Chen, Y.-R., Lu, P.-H.: Multiobjective optimal design and soft landing control od an electromagnetic valve actuator fo a camless engine. IEEE/ASME Trans. Mechatron. 18(3), 963–972 (2013)

    Article  Google Scholar 

  • Yu, Y.-C., Lee, M.-K.: A dynamic nonlinearity model for a piezo-actuated positioning system. In: Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM 10th\(-\)12th July, Taipei (2005)

    Google Scholar 

Download references

Acknowledgments

This work was financially supported by Bundesministerium für Bildung und Forschung of Germany. BMBF-Projekt-Nr.: 17N2111.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Benedikt Haus .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Haus, B., Mercorelli, P., Werner, N. (2015). A Robust Adaptive Self-tuning Sliding Mode Control for a Hybrid Actuator in Camless Internal Combustion Engines. In: Azar, A., Zhu, Q. (eds) Advances and Applications in Sliding Mode Control systems. Studies in Computational Intelligence, vol 576. Springer, Cham. https://doi.org/10.1007/978-3-319-11173-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11173-5_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11172-8

  • Online ISBN: 978-3-319-11173-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics