具有参数相关Lyapunov函数的不确定离散系统的动态输出反馈后退地平线控制器设计

D. Ji, W. Yoo, Sangmoon Lee, S. Won
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引用次数: 0

摘要

针对既有范数界不确定性又有干扰的不确定系统,利用新的参数相关李雅普诺夫函数,提出了一种动态输出反馈hininfin后退地平线控制器。该Lyapunov函数得到了一个保守性较低的条件,保证了闭环稳定性和Hinfinnorm界。控制器是由输出反馈Hinfin优化问题得到的,该问题很难用解析方法求解。最后用数值算例对结果进行了说明
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Dynamic output feedback H∞receding horizon controller design for uncertain discrete-time system with parameter dependent Lyapunov function
In this paper, we present a dynamic output feedback Hinfin receding horizon controller for uncertain systems with both norm bound uncertainty and disturbance using new parameter dependent Lyapunov function. This Lyapunov function is proposed to get a less conservative condition and guarantees both closed loop stability and the Hinfinnorm bound. The controller is obtained numerically from the output feedback Hinfin optimization problem, which is hardly solved analytically. The results are illustrated with numerical example
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