冲击响应界限控制的L^1方法

L 1 Optimal Method Applied to Boundary Control of Shock Response

给出了结构冲击响应界限控制的定义，首次提出了冲击响应界限控制的Ｌ１方法．对导出的冲击响应Ｌ１最优设计问题采用欧拉离散系统逼近法进行求解，并探讨了该方法在ｌ１多块最优设计问题中的应用．对一个实际结构振动系统的Ｌ１最优控制设计、ＬＱＲ最优设计以及Ｈ∞最优设计表明，Ｌ１最优控制方法能够有效地抑制受冲击结构的输出响应最大峰值。

Boundary control is defined in structure shock response and transformed into L 1 optimal control problem. The Euler Approximate System method is then used to solve the L 1 optimal problem as applied to l 1 optimal multiblock problem of real vibration control systems. Three kinds of control strategies are identified:they are L 1 optimal control, Linear Quadratic Regulator optimal state feedback control and H ∞ optimal control. It is shown that the L 1 optimal control can suppress the maximum amplitude of shocked structure.