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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.
For a class of input limited discrete uncertain time-delay systems, a design method of predictive controller based on quasi-Min-Max is proposed. The robust performance index of the system with time-delay is defined and the sufficient conditions for the stability of the system are given. The solution of LMI convex optimization obtains the controller.The quasi-Min-Max predictive control takes the current control variables as independent optimization variables separately from other time-domain control sequences as feedback control, which effectively reduces the conservativeness of the algorithm and improves the feasibility. Simulation results show the effectiveness of the proposed control method.