Stochastic sliding mode control of active vehicle suspension with mismatched uncertainty and multiplicative perturbations. (English) Zbl 07879342
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.
© 2019 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
© 2019 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
MSC:
| 93-XX | Systems theory; control |
Keywords:
Itô Lemma; Itô stochastic model; sliding mode control; stochastic uncertainty; suspension systemReferences:
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