Global Stabilization of the Double Integrator System With Saturation and Delay in the Input
Global Stabilization of the Double Integrator System With Saturation and Delay in the Input
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DOI：
10.1109/tcsi.2009.2028645
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发表时间：
2010-06
期刊：
影响因子：
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通讯作者：
Bin Zhou;G. Duan;Zongli Lin
中科院分区：
文献类型：
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作者：
Bin Zhou;G. Duan;Zongli Lin
本文研究的是受执行器饱和和输入延迟影响的双积分系统的全局稳定问题。通过使用以单个标量 γ 参数化的线性状态反馈，提出了该问题的两种解决方案。第一个解决方案是延迟相关的，因为延迟信息直接用于反馈设计。第二种解决方案是与延迟无关的，因为延迟信息不直接用于反馈中。建立了自由参数γ值的范围，在该范围内闭环系统全局渐近稳定。使用数值示例来说明所提出方法的有效性。
This paper is concerned with the problem of global stabilizing a double integrator system subject to actuator saturation and delay in the input. Two solutions to the problem are proposed by using linear state feedback which are parameterized in a single scalar γ. The first solution is delay-dependent in the sense that the delay information is directly used in the feedback design. The second solution is delay-independent as the delay information is not directly used in the feedback. Ranges of the value of the free parameter γ are established within which the closed-loop system is globally asymptotically stable. A numerical example is used to illustrate the effectiveness of the proposed approach.