一种有限对象集的输出通道任意增益/相角裕度调节方法

Tuning method to provide arbitrarily large gain/phase margins in output 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,提出一种调节输出通道增益/相角裕度的方法.采用增益相角裕度测试器理论,将问题转化为有限不确定对象集的稳定性问题;基于连续线性二次调节器理论,设计针对单个对象的输出反馈控制器;利用周期控制方法,设计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出通道同时实现任意大的增益裕度和直到90°的相角裕度.仿真结果表明了该方法的有效性.

For a finite set of multi-input-multi-output（MIMO） linear time-invariant（LTI） plants, amethod to tune gain/phase margins in the output channels is presented. By using the theory of gain-phase margin tester, the question is translated into a simultaneous stabilization problem of a finite set of uncertain plants. An output feedback controller is designed for a plant based on continuous-time linear quadratic regulator（LQR） theory, and 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 output channels of all feedback control loops for a finite set of plants. Simulation results show the effectiveness of the method.