线性不确定系统的约束鲁棒采样控制

Constrained Robust Sampled Data Control for Linear Uncertain Systems

针对连续系统直接设计数字控制器的采样控制理论引起了广泛的重视．目前采样控制理论不易处理系统的参数不确定性和状态的时域约束，基于实用稳定性理论给出了采样系统实用稳定的条件，在此基础上分析了线性参数不确定系统的采样控制问题，结果表示为线性矩阵不等式．提出的方法弥补了传统采样控制方法在处理系统的不确定性和时域性能约束上的不足。

The primary disadvantages of current design techniques of sampled data control are their inability to deal effectively with the parametric uncertain of systems and the constraints on the states of the systems. Based on the practical stability of systems, the basic result of the sampled data systems with practical stability was obtained. Then the robust sampled data control for linear uncertain system was considered. The results were described as some linear matrix inequalities. The proposed method can cope with the uncertainty and the constraints on the state of the systems. All these show effectiveness of the obtained results.