Constrained model predictive control for time-varying delay systems: Application to an active car suspension

Sofiane Bououden1, Mohammed Chadli2, Lixian Zhang3, Ting Yang3
1Faculty of sciences and technology, University of Abbes Laghrour Khenchela, Khenchela, Algeria
2University of Picardie Jules Verne, MIS (EA 4029), Amiens, France
3Harbin Institute of Technology, Harbin, China

Tóm tắt

This study investigates the problem of robust model predictive control (RMPC) for active suspension systems with time-varying delays and input constraints. The uncertainty is of convex polytopic type. Based on the Lyapunov-Krasovskii functional method, sufficient stability conditions of the time-varying delays systems are derived by linear matrix inequalities (LMIs) terms. At each time set, a feasible state feedback is obtained by minimizing an upper bound of the ‘worst-case’ quadratic objective function over an infinite horizon subject to constraints on inputs. Finally, a quarter-vehicle model is exploited to demonstrate the effectiveness of the proposed method.

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