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Stochastic sliding mode control of active vehicle suspension with mismatched uncertainty and multiplicative perturbations
Author(s) -
Moghadam Alireza Ramezani,
Kebriaei Hamed
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2135
Subject(s) - control theory (sociology) , mathematics , reachability , multiplicative function , sliding mode control , lyapunov function , parametric statistics , stochastic control , stochastic modelling , computer science , mathematical optimization , optimal control , control (management) , nonlinear system , physics , mathematical analysis , statistics , combinatorics , artificial intelligence , quantum mechanics
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.