摘要
将带有模有界条件的非线性不确定系统化为一个确定性的非线性系统H∞ 问题来考虑 ,利用非线性系统H∞ 控制理论的现有结果讨论其鲁棒镇定性 .比较了非线性不确定系统在匹配条件下与在模有界条件下鲁棒可镇定的优劣 .结果表明 ,带模有界条件的非线性不确定系统可以使整个闭环系统鲁棒渐近镇定到平衡点 ,两种结构条件下的鲁棒分析和设计各有其特点 ,带模有界条件的非线性不确定系统鲁棒镇定更易于实现 .
The nonlinear uncertain system with norm bounded uncertainties which is changed to a scale nonlinear H ∞ control problem is considered. Its robust stabilization is discussed by using the recent results of the nonlinear H ∞ control theory. The advantage and disadvantage of the robust stabilizability for the nonlinear uncertain systems under both the matching and the norm bounded conditions are compared. The results show that the nonlinear uncertain systems with the norm bounded condition can stabilize robustly the closed loop systems to reach the equilibrium point. The robust analysis and design of the nonlinear systems under both structured conditions have their own characteristics and the robust stabilization of nonlinear uncertain systems with norm bounded condition is more easy to realize in practice.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
2000年第4期429-432,451,共5页
Journal of Xidian University
关键词
非线性关系
不确定性
鲁棒镇定
nonlinear uncertain systems
norm bounded condition
robust stabilization