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Nonlinear Model Predictive Control for regulation of a class of Nonlinear Singularly Perturbed discrete-time systems

机译:一类非线性奇摄动离散时间系统的非线性模型预测控制

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In this paper, a class of discrete-time nonlinear systems having two-time-scale property is investigated. Using the theory of singular perturbations and time scales, the nonlinear system is decoupled into reduced slow and fast (boundary layer) subsystems. Then, a Nonlinear Model Predictive Control (NMPC) method is developed using the state-dependent Riccati equation for the slow and fast subsystems. It is proved that the original, closed-loop system with a composite control composed of slow and fast MPC subcontrollers, is locally asymptotically stable. Finally, an example is given to show the effectiveness of the developed method.
机译:本文研究了一类具有二次尺度性质的离散时间非线性系统。使用奇异摄动和时标的理论,非线性系统被解耦为减少的慢速和快速(边界层)子系统。然后,针对慢子系统和快子系统,使用与状态有关的Riccati方程,开发了一种非线性模型预测控制(NMPC)方法。事实证明,具有由慢速和快速MPC子控制器组成的复合控制的原始闭环系统是局部渐近稳定的。最后,通过实例说明了该方法的有效性。

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