2-D Roesser模型的有界实引理和鲁棒H_∞控制

Bounded real lemma and robust H_∞ control of 2-D Roesser models

讨论具有时不变、模有界、参数不确定性的 2-D Roesser 模型的鲁棒 H_∞控制问题,目的在于设计一种状态反馈控制器,使所得的闭环系统对所有允许的不确定性均具有期望的 H_∞性能指标．借助线性矩阵不等式(LMI)建立了不同形式的 2-D Roesser 的有界实引理, 并在此基础上给出了鲁棒 H_∞控制问题可解性的一个充分条件。最后利用这个条件,通过解矩阵不等式设计出所期望的状态反馈控制器．

The problem for robust H, control of two dimensional Roesser models with time-invariant normbounded parameter uncertainties was discussed in this paper. The purpose was the design of static state feedback controllers so that the resulting closedloop system would prescribe H∞ performance level for all admissible uncertainties. Different versions of bounded real lemma of 2 - D Roesser models were established in terms of linear matrix inequalities. Based on this, a sufficient condition for the solvability of the robust H∞ control problem was given, and a desired state feedback controller can be constructed by solving a set of matrix inequlities.