针对不确定采样控制系统的鲁棒保性能控制问题,首先将采样系统描述为跳变线性系统,基于矩阵凸组合思想构造了分段连续Lyapunov函数,进而在线性矩阵不等式框架内给出了不确定采样系统鲁棒稳定的条件.针对范数有界参数不确定采样系统,提出了鲁棒保性能控制器设计的在线算法,在每个采样周期内通过求解一组线性矩阵不等式的可行解来构造出状态反馈增益矩阵.最后的仿真算例验证了所提设计方法的有效性.%In our work, the sampled-data system is described as a jump linear system. By introducing the piecewise continuous Lyapunov functions based on matrix convex combination, we develop the robust stability conditions for the uncertain sampled-data system in the framework of linear matrix inequality (LMI). The state-feedback gain matrices are obtained as feasible solutions from solving a set of LMIs in every sampling period. A simulation is performed to demonstrate the effectiveness of the proposed design method.
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