Stochastic sliding mode control of active vehicle suspension with mismatched uncertainty and multiplicative perturbations

The purpose of this paper is to investigate the stochastic sliding mode controller design for uncertain model of vehicle suspension. The Itô stochastic model of quarter‐car is considered applying both parametric stochastic perturbations and mismatched uncertainty of road disturbance. To tackle with...

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Bibliographic Details
Published in:Asian journal of control 2020-11, Vol.22 (6), p.2330-2339
Main Authors: Moghadam, Alireza Ramezani, Kebriaei, Hamed
Format: Article
Language:English
Subjects:
Active control
Control systems design
Controllers
Dynamic stability
itô lemma
itô stochastic model
Linear matrix inequalities
Martingales
Mathematical analysis
Sliding mode control
Stochastic models
stochastic uncertainty
suspension system
Suspension systems
Switching
Uncertainty
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Summary:The purpose of this paper is to investigate the stochastic sliding mode controller design for uncertain model of vehicle suspension. The Itô stochastic model of quarter‐car is considered applying both parametric stochastic perturbations and mismatched uncertainty of road disturbance. To tackle with uncertainties of model a non‐semi‐martingale stochastic sliding dynamic is obtained employing a proportional‐integral switching surface. By means of linear matrix inequalities (LMIs) and stochastic extension of Lyapunov method, a sufficient condition is derived to guarantee the mean‐square stability of the stochastic dynamics in the specified switching surface for all admissible mismatched uncertainties. Furthermore, the synthesized sliding mode controller guarantees the reachability of the determined sliding surface. A simulation study is performed to evaluate the effectiveness of stochastic sliding mode control approach.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2135