Robust guaranteed cost control for sampled-data systems based on piecewise continuous Lyapunov functions
基于分段连续Lyapunov函数的采样系统鲁棒保性能控制

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.