线性对象的正实控制问题

THE POSITIVE REAL CONTROL PROBLEM FOR GENERALIZED LINEAR PLANTS

在时域中考虑线性对象的正实控制（ＰＲＣ）问题．对于一般的广义对象，在状态空间中提出了一个基于线性矩阵不等式（ＬＭＩ）的统一处理ＰＲＣ问题的方法，指出ＰＲＣ问题可解的充分必要条件是与系统的实现有关的三个ＬＭＩ可解，并可利用ＬＭＩ的解构造出所有的正则ＰＲ控制器．此外还提出了降价ＰＲ控制器的存在条件并讨论了可行的综合方法．

This paper considers the positive real control(PRC) problem for generalized linear plants without any additional assumptions.A unified linear matrix inequality(LMI) based approach to PRC problems in proposed.It is shown that this problem is solvable if and only if three LMIs have positive definite solutions.All desired PR controllers can be parameterized via the solutions of LMIs.Moreover,an existence condition and design method of low order positive real controllers are obtained based on the above LMI approach.