基于Schur补性质的时变采样系统控制器设计

Controller Design for a Class of Time-varying Sampling System Based on Schur Complement

针对一类具有多个采样周期的时变采样控制系统的控制问题,利用Schur补性质将控制器的设计问题转化为线性矩阵不等式问题,通过求解线性矩阵不等式设计出保持系统一致稳定的控制器,解决了在多个采样周期下系统的稳定性问题,小车和倒立摆模型的仿真结果验证了控制器设计方法的有效性。

The control question with regard to a class of time-varying sampling control systems was presented,the controller design ensuring the uniform stability of systems with multi-sampling periods was transformed into resolving linear matrix inequality by Schur complement, and the simulation results by cart and inverted pendulum verified the effectiveness of the proposed controller design.