基于LMI的Delta域内的H_∞状态反馈设计

H_∞ State Feedback Controller Design Using δ Operator Based on LMI

利用 L MI方法讨论和研究 Delta算子描述下的线性定常系统的 H∞ 控制问题 ,并给出了连续系统、Z变换所得到的离散系统和 Delta算子所描述的系统三者的 H∞ 控制问题的比较。结果表明 ,Delta算子所描述的系统的设计方法更适合于离散系统 。

The problem of H ∞ control for linear time-invariant systems described by δ operator is discussed. The H ∞ problems for continuous time systems, Z operator models and δ operator models are investigated respectively. δ operator models are shown to be much more suitable to discrete systems than Z operator models, especially when sampling period is approaching zeros.