Abstract
Uncertainties—more precisely bounded and stochastic disturbances—play a major role in control and estimation tasks in general. Examples for bounded uncertainty are lack of knowledge about specific parameters and manufacturing tolerances. Moreover, stochastic disturbances have a large influence on dynamic systems, especially on sensor measurements. These issues make it difficult to control a system such that robustness and stability are guaranteed if system parameters are not exactly known and system states cannot be measured with high accuracy due to process and measurement noise. Sliding mode techniques are known for their robustness, so that an extension of classical approaches is presented that accounts for uncertainties and estimates non-measurable states as well as unknown parameters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bartoszewicz, A., Nowacka-Leverton, A.: Time-Varying Sliding Modes for Second and Third Order Systems. Lecture Notes in Control and Information Sciences, vol. 382. Springer, Berlin (2009)
Jaulin, L., Kieffer, M., Didrit, O., Walter, É.: Applied Interval Analysis. Springer, London (2001)
Krämer, W.: XSC Languages (C-XSC, PASCAL-XSC) — Scientific Computing with Validation, Arithmetic Requirements, Hardware Solution and Language Support (n.a.) (2014). www.math.uni-wuppertal.de/ xsc/
Rump, S.M.: Interval computations with IntLab. Braz. Electron. J. Math. Comput. 1, 818–823 (1999)
Senkel, L., Rauh, A., Aschemann, H.: Interval-based sliding mode observer design for nonlinear systems with bounded measurement and parameter uncertainty. In: Proceedings of IEEE International Conference on Methods and Models in Automation and Robotics. Miedzyzdroje, Poland (2013)
Senkel, L., Rauh, A., Aschemann, H.: Optimal input design for online state and parameter estimation using interval sliding mode observers. In: Proceedings of 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy (2013)
Senkel, L., Rauh, A., Aschemann, H.: Robust sliding mode techniques for control and state estimation of dynamic systems with bounded and stochastic uncertainty. In: Proceedings of Second International Conference on Vulnerability and Risk Analysis and Management, Liverpool (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing AG
About this paper
Cite this paper
Senkel, L., Rauh, A., Aschemann, H. (2016). Experimental Validation of State and Parameter Estimation Using Sliding-Mode-Techniques with Bounded and Stochastic Disturbances. In: Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds) Progress in Industrial Mathematics at ECMI 2014. ECMI 2014. Mathematics in Industry(), vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-23413-7_91
Download citation
DOI: https://doi.org/10.1007/978-3-319-23413-7_91
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23412-0
Online ISBN: 978-3-319-23413-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)