噪声与振动控制
譟聲與振動控製
조성여진동공제
Noise and Vibration Control
2015年
5期
53-55,59
,共4页
张巍%应曌中%应祖光
張巍%應曌中%應祖光
장외%응조중%응조광
振动与波%最优控制%控制饱和%非线性随机振动%峰响应降低
振動與波%最優控製%控製飽和%非線性隨機振動%峰響應降低
진동여파%최우공제%공제포화%비선성수궤진동%봉향응강저
vibration and wave%optimal control%control saturation%nonlinear random vibration%peak response reduction
研究非线性系统随机振动的限界极大极小最优控制。引入调控变量放大振动峰响应，用高阶多项式作为性能指标函数，提高其中峰值占比，建立非线性随机振动峰响应的极小化最优控制问题方程；应用随机动态规划原理建立HJB方程，考虑控制作用的有界性，确定半连续与跳变型极大极小最优控制律；最后通过数值结果，说明该最优控制能够有效地抑制非线性随机振动，并调控变量、控制界限、跳变型控制等对于控制效果的影响。
研究非線性繫統隨機振動的限界極大極小最優控製。引入調控變量放大振動峰響應，用高階多項式作為性能指標函數，提高其中峰值佔比，建立非線性隨機振動峰響應的極小化最優控製問題方程；應用隨機動態規劃原理建立HJB方程，攷慮控製作用的有界性，確定半連續與跳變型極大極小最優控製律；最後通過數值結果，說明該最優控製能夠有效地抑製非線性隨機振動，併調控變量、控製界限、跳變型控製等對于控製效果的影響。
연구비선성계통수궤진동적한계겁대겁소최우공제。인입조공변량방대진동봉향응，용고계다항식작위성능지표함수，제고기중봉치점비，건립비선성수궤진동봉향응적겁소화최우공제문제방정；응용수궤동태규화원리건립HJB방정，고필공제작용적유계성，학정반련속여도변형겁대겁소최우공제률；최후통과수치결과，설명해최우공제능구유효지억제비선성수궤진동，병조공변량、공제계한、도변형공제등대우공제효과적영향。
The optimal bounded minimum-maximum control for random vibration of nonlinear systems was studied. A variable was employed for rescaling system responses and a high-order power polynomial was used as the cost function of performance index for magnifying large vibration responses. The optimal bounded minimum-maximum control problem for nonlinear random vibration was expressed by a transformed differential equation and a performance index of the system. Then, the HJB equation was derived based on the random dynamical programming principle. The optimal bounded semi-continuous and switching control laws were obtained by solving the equation with the consideration of the control bound. The control effects for different variable values, control bounds, semi-continuous control and switching control were compared one-another. Numerical results show that the proposed control can effectively suppress the nonlinear random vibration.
