一类不确定分数阶广义系统的鲁棒预测控制

Robust Predictive Control for Uncertain Fractional-order Descriptor Systems

本文针对一类参数不确定分数阶广义系统,研究其鲁棒预测控制问题。通过构造合适的Lyapunov函数,运用Lyapunov稳定性理论和LMI工具箱,以及求解最小-最大的二次型性能指标的优化问题,得到鲁棒预测控制器存在的充分条件,并证明闭环系统是容许的。

In this paper,a robust model predictive control scheme was proposed for a class of fractional order singular systems with uncertainty.By constructing an appropriate Lyapunov function,and using Lyapunov stability theory and LMI toolbox,the sufficient conditions for the existence of robust predictive controller were obtained by solving the optimization problem of min-max quadratic performance index,and the closed-loop system was proved to be admissible.