信息与控制2016，Vol.45Issue(4)：407-414,8.DOI:10.13976/j.cnki.xk.2016.0407
具有干扰和输入时滞的挠性航天器H∞控制
H∞Control of Flexible Spacecraft with Disturbance and Input Delay
摘要
Abstract
In this paper,we address the H∞control problem of flexible spacecraft experiencing disturbance and time-varying input delay.First,we adopt the state-space method to develop a flexible spacecraft model with disturb-ance and time-varying input delay.Next,based on the Lyapunov stability theory and using the linear matrix ine-quality (LMI)method,we obtain an LMI delay-dependent H∞ state feedback controller by constructing a new augmented Lyapunov function.The designed feedback controller gain depends on slack variable matrices rather than on the non-positive definite Lyapunov matrix.Finally,we use numerical simulations to verify the effective-ness of the proposed method and to analyze the delays,the H∞performance index,and the influence of delay-integral-inequality decomposition coefficients on the closed-loop system performance.Compared with traditional methods,the proposed method improves the flexibility of the controller design and reduces design conservatism by introducing slack variables matrices and the delay-integral-inequality decomposition coefficient.关键词
挠性航天器/输入时滞/H∞控制Key words
flexible spacecraft/input delay/H∞ control分类
信息技术与安全科学引用本文复制引用
张斌,李涛,郑柏超..具有干扰和输入时滞的挠性航天器H∞控制[J].信息与控制,2016,45(4):407-414,8.基金项目
江苏省杰出青年基金资助项目（BK20140045）；国家自然科学基金资助项目（61573189，61403207）；江苏省自然科学基金资助项目（BK20131000）；江苏省六大人才高峰项目 （）
