论文标题
多项式动力学系统的非线性系统水平合成
Nonlinear System Level Synthesis for Polynomial Dynamical Systems
论文作者
论文摘要
这项工作通过系统级综合介绍了以多项式动力学为特征的非线性系统的控制器合成方法。最终的框架产生有限的冲动响应，随时间不变的闭环传输功能，并保证取消干扰。我们的方法概括了反馈线性化以实现部分反馈线性化，其中非线性的取消分布在有限的时间范围内。这为使用系统动力学通过控制取消前的干扰提供了灵活性，与反馈线性化相比，降低了控制成本，同时保持对干扰拒绝的保证。在基准示例和流体流控制的通用模型上说明了这种方法。
This work introduces a controller synthesis method via system level synthesis for nonlinear systems characterized by polynomial dynamics. The resulting framework yields finite impulse response, time-invariant, closed-loop transfer functions with guaranteed disturbance cancellation. Our method generalizes feedback linearization to enable partial feedback linearization, where the cancellation of the nonlinearity is spread across a finite-time horizon. This provides flexibility to use the system dynamics to attenuate disturbances before cancellation via control, reducing the cost of control compared with feedback linearization while maintaining guarantees about disturbance rejection. This approach is illustrated on a benchmark example and on a common model for fluid flow control.
