凸多面体不确定非线性变时滞系统的鲁棒H_∞控制  

Robust H_∞ Control for Time-varying Delay Systems With Nonlinear Perturbation and Polytopic Uncertainty

作　　者：陈衍峰[1] 

机构地区：[1]通化师范学院数学学院,吉林通化134002

出　　处：《北京工业大学学报》2014年第2期206-213,共8页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(10771047);吉林省教育厅科学技术研究项目(2012524)

摘　　要：针对一类同时具有凸多面体不确定性和非线性扰动的变时滞系统,这里的非线性项满足一种特殊的线性界,首先利用线性矩阵不等式给出系统强鲁棒稳定且满足H∞性能指标的充分条件;然后设计状态反馈鲁棒H∞控制器;最后给出仿真算例,验证了所得结果的可行性与有效性.Robust H control problem of nonlinear systems with time-varying delay and polytopic uncertainty is discussed. The nonlinear condition satisfying a type of especial linear bound is assumed. By using the linear matrix inequality technique, a sufficient condition for nonlinear time-delay systems, which is asymptotically stable and satisfies H performance, is given, and the explicit design method of the robust H controller is obtained. Finally, an numerical example is supplied to clarify the feasibility and effectiveness of the proposed results

关 键 词：非线性变时滞系统 鲁棒日 控制 线性矩阵不等式 凸多面体不确定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]