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为解决采样过程中离散系统零动态的稳定性通常不能保存,影响了镇定控制器设计的问题,针对相对阶为2的线性连续时间系统,分析了零阶保持器(zero-order hold,ZOH)条件下的离散时间系统描述,并且导出了相应离散化采样零动态的关于采样周期T的近似幂级数表达形式.给出的结果包括关于采样零动态渐近性质的线性近似公式,以及保证其稳定的条件,提升了采样零动态的精确程度.特别地,该稳定条件还可用于一类非线性控制系统采样零动态稳定性的判别.
In order to solve the zero-order hold (ZOH) stability of the discrete system during the sampling process, the stability of zero-order hold (ZOH) can not be preserved and the design of the stabilization controller is affected. For the linear continuous-time system with order 2, , And derive the expression of approximate power series corresponding to the sampling period T. The results presented include a linear approximation formula for the dynamic asymptotic behavior of the sampled samples, The stability conditions improve the precision of sampling zero dynamics.In particular, this stability condition can also be used to determine the zero dynamic stability of a class of nonlinear control system.