一类非线性离散时滞系统的H_∞输出反馈控制

H_∞ output feedback control for a class of nonlinear discrete-time systems with time delays

研究一类具有扇形非线性约束的非线性离散时滞系统的H∞动态输出反馈控制问题.对于所有容许的时滞和扇形非线性,基于Finsler引理和S-过程给出了使得闭环系统渐近稳定且满足H∞抗干扰衰减水平的动态输出反馈控制器存在的时滞独立的充分条件.通过求解相应的线性矩阵不等式可以得到控制器参数.数值仿真表明了设计方法的有效性.

The dynamic output feedback H. control problem for a class of state - delayed nonlinear discrete -time systems with sector nonlinear inequalities constraint is investigated. By means of Finsler＇ s Lemma and S - procedure, for all admissible time delays as well as sector nonlinearities, a delay - independent sufficient condition of the design of the dynamic output feedback controllers, such that the resulting closed - loop system is asymptotically stable and achieving the prescribed H∞ disturbance rejection attenuation level, is derived, and the controller parameters are obtained by solving a linear matrix inequality （LMI）. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.