摘要
研究一类带模有界条件的非线性不确定系统的鲁棒镇定 .定义了Lyapunov意义下的鲁棒镇定概念 ,得到了系统鲁棒镇定的充分必要条件 .结果说明 ,在带模有界条件下 ,非线性不确定系统的鲁棒可镇定性与一个扩展的Hamilton Jacobi Isaacs(HJI)微分不等式是否存在正解完全等价 .
The robust stabilization for a class of nonlinear uncertain systems with norm bounded condition is researched.The concept of robust stabilization is defined under sense of Lyapunov. The necessary and sufficient condition which the systems is robustly stabilizable is obtained.Under the norm bounded condition the result shows that the robust stabilization of nonlinear uncertain system is equilant to the existence of positive solution of an extended Hamilton Jacobi Isaacs differential inequality.\;
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2000年第5期758-762,共5页
Control Theory & Applications
基金
国家自然科学基金!(6 96 0 40 0 3)
国家攀登计划!(970 2 110 17)
关键词
鲁棒镇定
HJI微分不等式
非线性不确定系统
nonlinear system
norm bounded condition
robust stabilization
HJI differential inequality
