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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.
The non-fragile stabilization problem of networked control systems with input delay and random gain uncertainties is studied. The objective is to design a non-fragile static output feedback controller that allows the closed-loop system to operate with input delay and gain not In order to better reflect the stochastic character of network induced phenomena, we introduce a binary switching sequence which obeys a certain probability distribution to describe the gain floating randomly generated by the controller in the process of implementation, and then use the stochastic stability Theory and the new matrix inequalities, the sufficient condition for the existence of controller is obtained. According to this, the controller gain matrix can be solved by the given cone linearization algorithm. Finally, a numerical example is given to verify the effectiveness and superiority of the method Sex.