主动隔振系统的最优控制时滞

针对主动隔振系统带有时滞的鲁棒渐进稳定问题,研究了时滞的存在对最优控制算法控制效果的影响,运用MATLAB中LMI工具,采用变步长试凑的方法,解出了最优控制系统反馈控制鲁棒渐进稳定的最大允许时滞上界。最后,通过数值仿真,验证了理论的正确性。仿真结果表明:随着控制时滞的增大,主动隔振效果逐渐变差,一旦反馈控制力时滞超过最大允许时滞上界,系统便将发散。同时,增大反馈控制力和减小加权矩阵控制目标的相应权值,可以提高最大允许时滞上界。

Optimal control of time delay in active vibration isolation system

The asymptotic stability of robust with time lag generally exists in the active vibration isolation system.The influence of time lag on the optimal control algorithm was studied.By use of LMI tools in MATLAB,a variable step method was introduced to get the maximum allowable upper bound of the robust time lag in the optimal control system.The numerical simulation verified the theory.The results show that with time lag increasing,the effect of controlling will become worse;once the time lag exceeds the maximum allowable delay boundary,the system will diverge.At the same time,the upper bound can be improved by increasing feedback control and decreasing the corresponding weight of the target-controlling weighting matrix.The work done is beneficial for relevant experimental designs.