Decrease the order of nonlinear predictors based on generalized-Lipschitz condition. (English) Zbl 1483.93044
Summary: In this paper, a low order asymptotic predictor is introduced for nonlinear systems based on measurable outputs. Predictors play basic role in the control of dead-time systems having no delay-free input. Generalized Lipschitz condition is employed here to develop sequential sub-predictors (SSP) for complex nonlinear systems. Compared with existing synthesis methods which involve Lipschitz condition, generalized Lipschitz condition relaxes the conservative of the stability results using some modified matrix inequalities. The proposed idea can be more attractive for unstable systems due to reduce significantly the order of the predictors. Also using the proposed method, the effect of the external disturbance can be minimized based on \(H_\infty\) index. Afterward, a SSP-based controller is presented to illustrate the effectiveness of proposed method to stabilize nonlinear systems with input-delay. Finally, the predictor capability is investigated by simulation examples.
MSC:
| 93B11 | System structure simplification |
| 93B36 | \(H^\infty\)-control |
| 93C10 | Nonlinear systems in control theory |
| 93C43 | Delay control/observation systems |
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