An Approach for State Observation in Dynamical Systems Based on the Twisting Algorithm

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

3 Citations (Scopus)

Abstract

This paper discusses a novel approach for state estimation in dynamical systems, with the special focus on hydraulic valve-cylinder drives. The proposed observer structure is based on the framework of the so-called twisting algorithm. This algorithm utilizes the sign of the state being the target for the observation, not directly implying its applicability for state observation. However it is shown that in the discrete case this approach may be applied to obtain a real time derivative using an intermediate integral process. Furthermore, different types of gains for the algorithm are suggested and analyzed via Lyapunov arguments, and a special version of the observer is proposed specifically for hydraulic drives utilizing online available plant information. The proposed observer with different observer gains are subjected to simulation studies in order to evaluate the exact properties, and results confirm that the proposed observer structure is easily implemented, produces very limited phase shift and is highly robust toward measurement noise.
Original languageEnglish
Title of host publicationProceedings of the 2013 IEEE International Conference on Mechatronics and Automation (ICMA)
Number of pages6
PublisherIEEE Press
Publication date2013
Pages1051-1056
ISBN (Print)978-1-4673-5557-5 , 9781467355599
ISBN (Electronic)9781467355582, 978-1-4673-5560-5
DOIs
Publication statusPublished - 2013
EventIEEE International Conference on the Mechatronics and Automation, ICMA 2013 - Takamatsu, Kagawa, Japan
Duration: 4 Aug 20137 Aug 2013

Conference

ConferenceIEEE International Conference on the Mechatronics and Automation, ICMA 2013
CountryJapan
CityTakamatsu, Kagawa
Period04/08/201307/08/2013

Fingerprint

Dynamical systems
Hydraulic drives
State estimation
Phase shift
Hydraulics
Derivatives

Keywords

  • Second Order Sliding Modes
  • Nonlinear Observers
  • Sliding Mode Observers
  • Electro-Hydraulic Systems

Cite this

Schmidt, L., Andersen, T. O., & Pedersen, H. C. (2013). An Approach for State Observation in Dynamical Systems Based on the Twisting Algorithm. In Proceedings of the 2013 IEEE International Conference on Mechatronics and Automation (ICMA) (pp. 1051-1056 ). IEEE Press. https://doi.org/10.1109/ICMA.2013.6618060
Schmidt, Lasse ; Andersen, Torben Ole ; Pedersen, Henrik C. / An Approach for State Observation in Dynamical Systems Based on the Twisting Algorithm. Proceedings of the 2013 IEEE International Conference on Mechatronics and Automation (ICMA). IEEE Press, 2013. pp. 1051-1056
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title = "An Approach for State Observation in Dynamical Systems Based on the Twisting Algorithm",
abstract = "This paper discusses a novel approach for state estimation in dynamical systems, with the special focus on hydraulic valve-cylinder drives. The proposed observer structure is based on the framework of the so-called twisting algorithm. This algorithm utilizes the sign of the state being the target for the observation, not directly implying its applicability for state observation. However it is shown that in the discrete case this approach may be applied to obtain a real time derivative using an intermediate integral process. Furthermore, different types of gains for the algorithm are suggested and analyzed via Lyapunov arguments, and a special version of the observer is proposed specifically for hydraulic drives utilizing online available plant information. The proposed observer with different observer gains are subjected to simulation studies in order to evaluate the exact properties, and results confirm that the proposed observer structure is easily implemented, produces very limited phase shift and is highly robust toward measurement noise.",
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Schmidt, L, Andersen, TO & Pedersen, HC 2013, An Approach for State Observation in Dynamical Systems Based on the Twisting Algorithm. in Proceedings of the 2013 IEEE International Conference on Mechatronics and Automation (ICMA). IEEE Press, pp. 1051-1056 , IEEE International Conference on the Mechatronics and Automation, ICMA 2013 , Takamatsu, Kagawa, Japan, 04/08/2013. https://doi.org/10.1109/ICMA.2013.6618060

An Approach for State Observation in Dynamical Systems Based on the Twisting Algorithm. / Schmidt, Lasse; Andersen, Torben Ole; Pedersen, Henrik C.

Proceedings of the 2013 IEEE International Conference on Mechatronics and Automation (ICMA). IEEE Press, 2013. p. 1051-1056 .

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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Schmidt L, Andersen TO, Pedersen HC. An Approach for State Observation in Dynamical Systems Based on the Twisting Algorithm. In Proceedings of the 2013 IEEE International Conference on Mechatronics and Automation (ICMA). IEEE Press. 2013. p. 1051-1056 https://doi.org/10.1109/ICMA.2013.6618060