Skip to main content

Linear State Space Control Methods

  • Chapter
  • First Online:
Control of Marine Vehicles

Abstract

Here we explore the control of marine vehicles when their dynamics can be modeled in state space as linear time invariant systems. With this approach one can determine if the vehicle is controllable and whether it is possible to estimate the full system state using available measurements of its output. Techniques for designing state feedback controllers, state observers (estimators) and compensators, which combine a state feedback controller and an observer, are introduced. The concept of the two degree of freedom control architecture is presented. This architecture can provide greater control design flexibility by permitting one to separate tracking requirements from stability or disturbance rejection requirements. Lastly, the use of linear disturbance observer based control design, which can provide robustness to both disturbances and model uncertainty is examined.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 99.99
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

Institutional subscriptions

Notes

  1. 1.

    An input signal can be constrained when it is affected by actuator saturation (Sect. ) or actuator rate limits (Sect. ), for example.

References

  1. Åström, K.J., Murray, R.M.: Feedback Systems: An Introduction for Scientists and Engineers. Princeton University Press (2010)

    Google Scholar 

  2. Chen, W.-H., Yang, J., Guo, L., Li, S.: Disturbance-observer-based control and related methods-an overview. IEEE Trans. Industr. Electron. 63(2), 1083–1095 (2016)

    Article  Google Scholar 

  3. Dhanak, M.R., Ananthakrishnan, P., Frankenfield, J., von Ellenrieder, K.: Seakeeping characteristics of a wave-adaptive modular unmanned surface vehicle. In: ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering, pp. V009T12A053–V009T12A053. American Society of Mechanical Engineers (2013)

    Google Scholar 

  4. Dorf, R.C., Bishop, R.H.: Modern Control Systems. Pearson (Addison-Wesley) (1998)

    Google Scholar 

  5. Faltinsen, O.M.: Hydrodynamics of High-speed Marine Vehicles. Cambridge University Press, Cambridge (2005)

    Google Scholar 

  6. Franklin, G.F., Powell, J.D., Emami-Naeini, A.: Feedback Control of Dynamic Systems, 3rd edn. Addison-Wesley, Reading (1994)

    Google Scholar 

  7. Jialu, D., Xin, H., Krstić, M., Sun, Y.: Robust dynamic positioning of ships with disturbances under input saturation. Automatica 73, 207–214 (2016)

    Article  MathSciNet  Google Scholar 

  8. Klinger, W.B., Bertaska, I.R., von Ellenrieder, K.D., Dhanak, M.R.: Control of an unmanned surface vehicle with uncertain displacement and drag. IEEE J. Ocean. Eng. 42(2), 458–476 (2017)

    Google Scholar 

  9. Refsnes, J., Sorensen, A.J., Pettersen, K.Y.: Output feedback control of an auv with experimental results. In: 2007 Mediterranean Conference on Control and Automation, pp. 1–8. IEEE (2007)

    Google Scholar 

  10. Sarda, E.I., Qu, H., Bertaska, I.R., von Ellenrieder, K.D.: Station-keeping control of an unmanned surface vehicle exposed to current and wind disturbances. Ocean Eng. 127, 305–324 (2016)

    Google Scholar 

  11. Sariyildiz, E., Oboe, R., Ohnishi, K.: Disturbance observer-based robust control and its applications: 35th anniversary overview. IEEE Trans. Indust. Electron. (2019)

    Google Scholar 

  12. Snyder, W., Roman, C., Licht, S.: Hybrid actuation with complementary allocation for depth control of a lagrangian sea-floor imaging platform. J. Field Robot. 35(3), 330–344 (2017)

    Article  Google Scholar 

  13. Thomas, G.B. Jr., Finney, R.L.: Calculus and Analytic Geometry, 6th edn. Addison-Wesley (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Karl Dietrich von Ellenrieder .

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

von Ellenrieder, K.D. (2021). Linear State Space Control Methods. In: Control of Marine Vehicles. Springer Series on Naval Architecture, Marine Engineering, Shipbuilding and Shipping, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-75021-3_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-75021-3_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-75020-6

  • Online ISBN: 978-3-030-75021-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics