Soft Variable Structure Control in Sampled-Data Systems with Saturating Input
Przemyslaw Ignaciuk, Michał Morawski
2016
Abstract
In the effort to achieve high convergence rate, at the same time avoiding implementation difficulties and poor robustness of time-optimal controllers, the concept of soft Variable Structure Control (VSC) may be applied. The classical formulation of soft VSC in continuous time domain assumes smooth switching among an infinite number of controllers. Since nowadays control laws are implemented digitally, changing the control structure is limited to sampling instances, which leads to quasi-soft VSC. The paper investigates how the favourable characteristics of dynamic soft VSC can be extended to input-constrained systems with finite sampling. The design procedure and stability analysis are conducted directly in discrete time domain. The resulting nonlinear control law is synthesised into a form substantially different from its continuous-time counterpart. However, smooth control action and fast convergence of continuous soft VSC is retained. The properties of the obtained control system are formally proved and confirmed experimentally.
References
- Adamy, J., Flemming, A. 2004. Soft variable-structure controls: a survey. Automatica 40(11): 1821-1844.
- Gao, Z. 2004. On discrete time optimal control: a closedform solution. In American Control Conference, Boston, MA, USA, 52-58.
- Hu, T., Lin, Z. 2001. Control Systems with Actuator Saturation. Boston: Birkhäuser.
- Ignaciuk, P., Bartoszewicz, A. 2011. Discrete-time sliding-mode congestion control in multisource communication networks with time-varying delay. IEEE Transactions on Control Systems Technology 19(4): 852-867.
- Ignaciuk, P., Morawski, M. 2014. Linear-quadratic optimization in discrete-time control of dynamic plants operated with delay over communication network. In Mediterranean Conference on Control and Automation, Palermo, Italy, 412-417.
- Kefferpütz, K., Fischer, B., Adamy, J. 2013 A nonlinear controller for input amplitude and rate constrained linear systems. IEEE Transactions on Automatic Control 58(10): 2693-2697.
- Lee, H., Utkin, V.I. 2007. Chattering suppression methods in sliding mode control systems. Annual Reviews in Control 31(2): 179-188.
- Lens, H., Adamy, J., Domont-Yankulova, D. 2011. A fast nonlinear control method for linear systems with input saturation. Automatica 47(4): 857-860.
- Liu, Y., Kao, Y., Gu, S., Karimi, H.R. 2015. Soft variable structure controller design for singular systems. Journal of The Franklin Institute 352(4): 1613-1626.
- Utkin, V.I. 1997. Variable structure systems with sliding modes. IEEE Transactions on Automatic Control 22(2): 212-222.
Paper Citation
in Harvard Style
Ignaciuk P. and Morawski M. (2016). Soft Variable Structure Control in Sampled-Data Systems with Saturating Input . In Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-198-4, pages 545-550. DOI: 10.5220/0006001205450550
in Bibtex Style
@conference{icinco16,
author={Przemyslaw Ignaciuk and Michał Morawski},
title={Soft Variable Structure Control in Sampled-Data Systems with Saturating Input},
booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2016},
pages={545-550},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006001205450550},
isbn={978-989-758-198-4},
}
in EndNote Style
TY - CONF
JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Soft Variable Structure Control in Sampled-Data Systems with Saturating Input
SN - 978-989-758-198-4
AU - Ignaciuk P.
AU - Morawski M.
PY - 2016
SP - 545
EP - 550
DO - 10.5220/0006001205450550