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研究了具有区间不确定性的受控正时滞系统的弹性静态输出反馈镇定问题。通过引入一个小的标量,得到了正时滞系统渐近稳定的一个充要条件,使得Lyapunov矩阵与系统矩阵得以分离,从而更利于输出反馈控制器的设计。基于此条件并利用矩阵不等式技术,针对控制矩阵的不同情形,给出了具有区间加性摄动的弹性控制器存在的充要/充分条件及具体表达式,其中控制器增益矩阵可利用锥补线性化技巧进行有效地求解。数值算例表明了设计方法的有效性。
The problem of elastic static output feedback stabilization for a controlled time-delay system with interval uncertainty is studied. By introducing a small scalar, a necessary and sufficient condition for the asymptotic stability of the system with positive delays is obtained, which makes the Lyapunov matrix and the system matrix be separated, which is more conducive to the design of the output feedback controller. Based on this condition and using the matrix inequality technique, the sufficient and sufficient conditions and specific expressions for the existence of the elastic controller with interval additive perturbation are given for different cases of the control matrix. The controller gain matrix can be obtained by using the cone complement Linearization techniques are effectively solved. Numerical examples show the effectiveness of the design method.