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首页> 外文期刊>International Journal of Innovative Computing Information and Control >NEW RESULTS ON STABILITY MARGINS OF NONLINEAR DISCRETE-TIME RECEDING HORIZON H_∞ CONTROL
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NEW RESULTS ON STABILITY MARGINS OF NONLINEAR DISCRETE-TIME RECEDING HORIZON H_∞ CONTROL

机译:非线性离散时间H_∞控制的稳定余量的新结果

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摘要

In this paper, we present some new results on stability margins of receding horizon H_∞ control for nonlinear discrete-time systems with disturbance. First, we propose a nonlinear inequality condition on the terminal cost for nonlinear discrete-time systems with disturbance. Under this condition, noninceasing monotonicity of the saddle point value function of the finite horizon dynamic game is shown to be guaranteed. We show that the derived condition on the terminal cost ensures closed-loop internal stability. The proposed receding horizon H_∞ control guarantees the infinite horizon H_∞ norm bound of the closed-loop system. Under additional conditions, the global result and the input-to-state stable (ISS) property of the proposed receding horizon controller are also given. Finally, we derive new H_∞ stability and ISS margins for the proposed receding horizon controller. The proposed result has a larger stability region than the existing inverse optimality based results.
机译:在本文中,我们给出了具有干扰的非线性离散时间系统的后视H_∞控制的稳定裕度的一些新结果。首先,我们针对具有扰动的非线性离散时间系统的终端成本提出了一个非线性不等式条件。在这种条件下,有限水平动态博弈的鞍点值函数的单调性得到了保证。我们表明,终端成本的推导条件确保了闭环内部稳定性。所提出的后退水平H_∞控制可确保闭环系统的无限水平H_∞范数界。在附加条件下,还给出了拟议后退水平控制器的全局结果和输入状态稳定(ISS)属性。最后,我们为拟议的后退水平控制器推导了新的H_∞稳定性和ISS裕度。与现有的基于逆最优性的结果相比,所提出的结果具有更大的稳定性区域。

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