Design of H∞ three-delay controllers for systems with time delay

B. Shen, Q. Zhao, L. Ou, Gang Li
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引用次数: 1

Abstract

The method of designing the H∞ three-delay controllers for systems with time delay is investigated in this paper. The advantages of the controllers based on the delay modules lie in that it is easy to implement and it can be implemented in the occasions that ordinary controllers cannot be implemented. The three delay modules introduced into the controller is to improve the performance of the controlled system. Based on the complementary sensitivity function, the parameters of the three-delay controller are optimized with H∞ performance. Then, the problem of finding the set of the H∞ three-delay control parameters satisfying the certain H∞ performance is converted to the problem of stabilizing the quasi-polynomials which can be solved by using the D-composition method. Finally, the set of the three-delay control parameters is derived by finding the intersection of stable region and H∞ region. The simulation results verify the effectiveness of the proposed method.
含时滞系统的H∞三延迟控制器设计
研究了含时滞系统的H∞三延迟控制器的设计方法。基于延迟模块的控制器的优点在于易于实现,可以在普通控制器无法实现的场合实现。在控制器中引入三个延迟模块是为了提高被控系统的性能。基于互补灵敏度函数,对三时延控制器的参数进行了H∞优化。然后,将求满足一定H∞性能的H∞三延迟控制参数集的问题转化为拟多项式的稳定问题,并利用d复合方法求解。最后,通过求稳定区域与H∞区域的交点,得到三延迟控制参数集。仿真结果验证了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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