摘要
在LMI的框架内探讨不确定非线性系统的鲁棒镇定问题 ,考虑了利用输出反馈来镇定一类非线性系统。把这类非线性系统的鲁棒综合问题归纳成一个双线性矩阵不等式 (BMI)问题 ,然后通过增加约束将BMI问题转化为线性矩阵不等式 (LMI)问题。还利用类似的方法讨论了关联系统的情形。给出了数值算例 。
The robust stabilization of a class of nonlinear systems in the frame of LMI is studied especially the case of system stabilization via output feedback.The problem of robust stabilization of a class of nonlinear systems is induced into a problem of bilinear matrix inequality(BMI),and then transferred it to an LMI problem by adding constraint.The case of interconnected systems is also discussed.In addition,the validity of this method is verified by numerical example.
出处
《北京大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2004年第5期722-728,共7页
Acta Scientiarum Naturalium Universitatis Pekinensis
基金
国家自然科学基金 (1 0 2 72 0 0 1 )
国家关键基础研究专项基金 (1 9980 2 0 30 2 )资助项目
关键词
线性矩阵不等式
非线性系统
输出反馈
关联系统
linear matrix inequalities
nonlinear system
output feedback
interconnected system
