有随机增益不确定性的网络化时滞系统非脆弱镇定

摘要

The problem of non‐fragile stabilization is investigated for a class of nonlinear networked control systems with time‐varying input delay and randomly occurring gain uncertainties . A binary switching sequence obeying a conditional probability distribution is introduced to govern the randomly occurring gain fluctuation in controller implementation ,which could better reflect the random nature of network‐induced phenomena .Attention is focused on the design of a non‐fragile static output feedback controller such that the closed‐loop systems is mean‐square asymptotically stable in the presence of network‐induced delay and gain uncertainties .Intensive stochastic analyses and novel inequality bounding techniques are carried out to achieve the existence condition of the stabilization controller ,and the desired controller gain can be derived by solving a nonconvex feasibility problem via a modified cone complementary linearization algorithm .Finally ,a numerical example is provided to illustrate the effectiveness and superiority of the proposed stabilization method .%研究了带有输入时滞和随机发生的增益不确定性的网络化控制系统的非脆弱镇定问题。目标是设计一个非脆弱的静态输出反馈控制器，使得闭环系统在有输入时滞和增益不确定情况下保持均方渐近稳定。为了更好地反映网络诱导现象的随机特性，引入了服从一定概率分布的二进制切换序列描述控制器在实现过程中随机发生的增益浮动。然后利用随机稳定性理论和新的矩阵不等式界定方法得到了控制器存在的充分条件。据此，控制器增益矩阵可通过给出的锥补线性化算法求解。最后提供了一个数值例子验证了方法的有效性和优越性。