一类结构不确定采样系统的鲁棒控制

Robust control of a class of sampled-data systems with structured uncertainty

针对一类结构不确定性线性采样系统 ,在时域中用 L yapunov方法研究采样系统的鲁棒控制及最优鲁棒控制 ,给出了系统鲁棒稳定的充分条件以及相应的鲁棒控制律。控制律的求取借助于求解一类线性矩阵不等式 (L MI) ,或求解满足特定线性不等式条件下的优化问题。算例结果表明 ,采样周期是一个关键性的设计参数。

By using the Lyapunov method, the robust control and the robust optimal control for a class ofsampled datasystemswhoseunderlyingcontinuous timesystemsare subjected to structured uncertaintiesarediscussedintime domain.Somesufficientconditionsof robust stability and the corresponding robust control laws are derived. All these results are designed by solving a class of linear matrixinequalities(LMI)oradynamicprogramme problem with LMI constraints respectively. An example is shown that the sampling period is the crucial design parameter.