一类输入受限不确定时滞系统的准Min-Max模型预测控制

Quasi-Min-Max MPC algorithms for uncertain time-delay systems with input constraints

针对一类输入受限离散不确定时滞系统,提出一种基于准Min-Max的模型预测控制器设计方法.定义了时滞系统的鲁棒性能指标,给出了系统稳定的充分条件,通过求解LMI凸优化获得控制器.准Min-Max预测控制将当前控制量作为独立优化变量,与其他作为反馈控制的时域控制序列分开处理,有效地降低了算法的保守性,提高了可行性.仿真算例验证了所提出控制方法的有效性.

A robust model predictive controller（MPC）based on quasi-min-max MPC is developed for a discrete-time uncertain time-delay system with input constraints. A robust performance index is defined and the sufficient conditions of stability are presented for the time-delay system, and the controller is obtained by convex optimization involving LMIs. In the quasi-min-max MPC algorithm, the first control moves as a free decision variable and is separated from the rest of control moves governed by a feedback law, which reduces the conservatism of the algorithm and improves the feasibility effectively. The digital simulation results show the effectiveness of the proposed method.