Quantisation effect on zero-order-holder discretisation of multi-input sliding-mode control systems

This study investigates the quantisation effect on dynamical behaviours of the zero-order-holder discretisation of multi-input sliding-mode control systems with matched uncertainties. The quasi-sliding mode induced by both quantisation and discretisation is analysed and the thicknesses of the bounda...

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Bibliographic Details
Published in:IET control theory & applications 2015-12, Vol.9 (18), p.2613-2618
Main Authors: Yan, Yan, Yu, Xinghuo, Sun, Changyin, Yu, Shuanghe
Format: Article
Language:English
Subjects:
Boundary layer
boundary layers
Dynamical systems
Dynamics
matched uncertainties
Mathematical analysis
multiinput sliding‐mode control system
quantisation effect
quantised state feedback
Simulation
Sliding mode control
stability
stability condition
state feedback
switching manifold
uncertain systems
Unions
variable structure systems
Vibration
zero‐order‐holder discretisation
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Summary:This study investigates the quantisation effect on dynamical behaviours of the zero-order-holder discretisation of multi-input sliding-mode control systems with matched uncertainties. The quasi-sliding mode induced by both quantisation and discretisation is analysed and the thicknesses of the boundary layers are calculated. It is shown that chattering phenomenon occurs in the union of the two boundary layers induced by both kinds of discontinuous laws. The stability condition is given and the authors show that the switching manifold has relatively low chattering frequencies due to quantised state feedback. Finally, the theoretical results are verified through the simulation study of a third-order system with two inputs.
ISSN:1751-8644
1751-8652
1751-8652
DOI:10.1049/iet-cta.2015.0388