饱和输入下一类多项式系统的数据驱动控制

Data-driven control for a class of polynomial systems with saturation input

研究了饱和输入下一类多项式系统的数据驱动控制问题.针对一类受噪声影响的未知多项式系统,设计了一种直接基于数据驱动的饱和控制器实现系统镇定,其中系统噪声具体形式未知但存在二次型上界.首先,在随机输入作用下离线采集系统的输入与输出数据.然后,通过采集到的离线数据以及平方和方法确定系统状态反馈控制器增益,引入的饱和约束机制可以对控制输入进行限幅.最后,通过在van der Pol振荡器系统中的数值仿真和电路实验验证了所提出控制策略的有效性.

The data-driven control problem for a class of polynomial systems subject to saturation input is studied. For a class of unknown polynomial systems with noisy data, a saturation controller directly based on collected data is designed to stabilize the system. The specific form of system noise is unknown, but has a quadratic upper bound. First, input and output data of the system are collected through an off-line acquisition system under random input. Then, the state feedback control gain is determined directly through the collected off-line data using the sum of squares method. In addition, the introduced saturation constraint can limit the control input. Finally, numerical simulations and circuit experiments in the van der Pol oscillator system are given to verify the effectiveness of the proposed control strategy.