Global sampled‐data stabilization via static output feedback for a class of nonlinear uncertain systems
Global sampled‐data stabilization via static output feedback for a class of nonlinear uncertain systems
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DOI：
10.1002/rnc.6542
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发表时间：
2022-12
影响因子：
3.9
通讯作者：
K. Cao;C. Qian;Juping Gu
中科院分区：
文献类型：
--
作者：
K. Cao;C. Qian;Juping Gu
针对一类非线性不确定系统，提出了输出反馈控制器设计中的补偿策略。通过对不可测状态的欧拉近似和对连续系统的坐标变换，利用采样周期和缩放增益之间的补偿，首次实现了线性系统在任意采样周期下的采样数据镇定。然后利用李雅普诺夫函数的线性反馈控制，研究了一类非线性系统的全局采样镇定问题.将所得结果推广到三维系统或一般假设下的系统。在控制器设计中提出的补偿方案，充分小的采样周期或逼近的步骤，以前被强加的是不需要了。所提出的控制器可以很容易地实现使用输出测量采样在当前步骤和延迟输出测量采样在前一个步骤，而无需构造状态观测器，这已经说明了数值研究。
This paper proposes some novel compensating strategies in output feedback controller design for a class of nonlinear uncertain system. With Euler approximation introduced for unmeasured state and coordinate transformation constructed for continuous system, sampled‐data stabilization under arbitrary sampling period is firstly realized for linear system using compensation between sampling period and scaling gain. Then global sampled‐data stabilization for a class of nonlinear system is studied using linear feedback domination of Lyapunov functions. Extension of obtained results to three‐dimensional system or systems under general assumptions are also presented. With the compensation schemes proposed in controller design, the sufficiently small sampling period or approximating step previously imposed is not required any more. The proposed controllers can be easily implemented using output measurements sampled at the current step and delayed output measurements sampled at the previous step without constructing state observers which has been illustrated by the numerical studies.