为了减小时滞依赖系统分析的保守性,获得较大的时滞上界,也为了减小网络中的数据传输率,本文提出了一种具有量化的网络控制系统的新的分析方法:时滞分段法.将时滞落于某一段小区间看做一种情形,针对每种不同情形利用不同的自由权矩阵,并利用矩阵函数的凸性,得到了新的时滞依赖的稳定性条件.通过求解若干组线性矩阵不等式可得时滞上界和量化状态反馈控制器增益.仿真结果说明了本文所述方法的有效性.
The piecewise delay method for quantized networked control system is proposed for reducing the conservativeness in the delay-dependent analysis,raising the delay upper bound and lowering the data transmission rate in the network.The delay-falling in one small subinterval is treated as a case.For different cases we adopt different free weighting matrix,and make use of the convexity of the matrix function to derive the corresponding stability criteria.The upper bound of the delay and the gain of the quantized state feedback controller can be determined by solving several sets of linear matrix inequalities.Numerical examples demonstrate the effectiveness of the proposed method.