一种有限对象集的输入通道任意增益/相角裕度调节方法

Tuning method to provide arbitrarily large gain/phase margins in the input channels for a finite set of plants

针对一类有限多输入多输出线性时不变对象集,提出了一种调节输入通道增益/相角裕度的方法。首先针对单个对象,采用连续线性二次调节器理论设计状态反馈控制器;进而利用周期控制方法设计一个针对有限对象集的线性周期控制器。该控制器可使有限对象集的所有反馈控制回路在输入通道同时实现任意大的增益裕度和直到90°的相角裕度。仿真结果表明了所设计控制器的有效性。

For a finite set of multiple input multiple-output （MIMO） linear time-invariant （LTI） plants, a new method to tune gain/phase margins in the input channels is presented. By using the theory of continuous time linear quadratic regulator （LQR）, a state feedback controller is designed for a plant at first, and then a method of periodic control is used to design a linear periodic controller for a finite set of plants. The controller can simultaneously provide gain margins as large as desired and phase margins of up to 90 degrees in the input channels of all feedback control loops for a finite set of plants. Simulation results show the effectiveness of the proposed control law.