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基于扰动和输入饱和限制的连续时间系统预见跟踪控制

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本文研究一类带有外部干扰和输入饱和的连续时间系统的预见控制问题.为了能成功地构造出连续时间输入饱和系统的误差系统,与以往对系统方程求导不同,本文利用状态平移方法代替状态求导,使得输入饱和连续时间系统的误差系统的构造成为可能.这样原系统的预见饱和控制就转化为误差系统的标准饱和控制问题.另外,针对原系统的误差系统,分别引入状态反馈和静态输出反馈,并改写输入向量以便利用可预见信号的未来信息.利用Lyapunov函数及LMI技巧,导出了闭环系统渐近稳定的充分条件.最后仿真例子表明了本文结果的有效性.
Preview Tracking Control for Continuous-time Systems Based on Disturbance and Input Saturation Constraints
This paper studies the preview saturation control problem for a class of continuous-time systems with input saturation.In order to successfully construct an error system of continuous-time input saturation system,two new auxiliary variables are introduced in this paper,which are different from the previous derivation of system equations,it is possible to construct the error system of the input saturation continuous-time system by using the difference between the system state vector and the input vector and the corresponding auxiliary variable instead of the usual state derivation.Thus,the preview saturation control of the original system is transformed into the saturation control problem of the error system.In addition,for the error system of the original system,the state feedback and the static output feedback are introduced,respectively.When considering the output feedback,the input equation is modified to make full use of the future information of the previewable signal.By using Lyapunov function and LMI technique,a sufficient condition for the asymptotic stability of the closed-loop system is derived.Finally,a simulation example shows the validity of the results.

Preview controlContinuous-time systemInput saturationState feedbackStatic output feedbackLinear matrix inequality

李丽、叶辉

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湖北经济学院统计与数学学院,湖北武汉 430205

湖北经济学院湖北数据与分析中心,湖北武汉 430205

预见控制 连续时间系统 输入饱和 状态反馈 输出反馈 线性矩阵不等式

2025

应用数学
华中科技大学

应用数学

北大核心
影响因子:0.234
ISSN:1001-9847
年,卷(期):2025.38(1)