A method for synthesis of 2-DOF reference tracking control systems with time-varying controllers

本研究项目涉及具有约束和干扰的控制系统。为了获得良好的跟踪性能，我们考虑使用线性时不变和时变控制器，并设计驱动信号。为了实现这些设计，我们首先提出了一种基于线性矩阵不等式合成线性时变控制器的方法。此外，我们还提出了分析线性时不变系统的参考信号对应的状态轨迹的方法，作为使驱动信号合成成为可能的基本结果。

This research project deals with control systems with constraints and disturbances. To attain significant tracking performance, we consider to use linear time invariant and time-varying controllers and also to design driving signals. To enable those designs, we first propose a method to synthesize a linear time-varying controller based on linear matrix inequalities. Moreover, we also propose methods to analyze state trajectories corresponding to reference signals for linear time invariant systems, as fundamental results to make driving signal synthesis possible.