【摘要】 针对带有不确定性时滞的振动控制系统,引入改进的二向量内积的上确界,对Lyapunov导数进行合理放大,提出了一种新的时滞依赖鲁棒性稳定准则。根据这种新的判别方法,受控振动系统的最大时滞量可以通过Matlab控制工具箱LMI(线性矩阵不等式)得到。讨论了单自由度系统中最大时滞随系统参数的变化情况及多自由度系统中控制器最优权值R的确定。算例结果表明,在允许时滞范围内,经典的LQR控制器可以收到令人满意的效果。更多还原

【Abstract】 A new stability criterion for vibrating systems with time-invariant uncertain delays is developed,where an improved upper bound for the inner product of two vectors is introduced. The maximal time delay can be obtained by using LMI control toolbox of Matlab. According to the new approach,the maximal delay varying with parameters of system is discussed for SDOF system and the optimal value of weighting matrix R is found for MDOF system respectively. Within the interval of permitted time delay,the classical LQR controller is able to achieve the satisfied effects.更多还原