基于LMI方法的广义系统H∞控制

LMI approach to H∞ Control for Descriptor Systems

讨论了广义系统的H∞控制问题,给出的新方法在H∞控制指标有界条件下进行了详细推导,并且对广义系统给出了相应的扩展界有实引理的条件。通过引入松弛变量,相应的H∞控制问题可转化为求解线性矩阵不等式(LMI)的优化问题。最后,给出了几个例子验证了该方法对H∞控制指标的有效性。

This paper focuses on the problem of H∞ control for descriptor system. The proposed approach give the detailed derivation to consider the H∞ control performance under the boundary conditon. Using the descriptor system approach,an extended bounded real lemma is presented.By introducing the slack variables,the corresponding Hoo Controller problems can be transformed into the optimization problem soved by the linear matrix inequality （LMI）. Finally, Illustrative examples are gave to show the effectiveness of the proposed method to the H co control performance.