针对有限多输入多输出(MIMO)线性时不变(LTI)对象集,提出了一种调节输入通道增益/相角裕度的方法,采用离散线性二次调节器(LQR)理论和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.仿真结果表明了该方法的有效性.
For a finite set of linear time-invariant(LTI) multi-input-multi-output(MIMO) plants,a new method of tuning gain/phase margins in the input channels is presented.Based on the theory of discrete-time linear quadratic regulator(LQR) and the method of periodic control,a linear periodic controller is designed for a finite set of plants.The controller can simultaneously provide gain margin as large as desired and phase margin up to 90 in the input channels of all feedback control loops for the finite set of plants.Simulation results verify the effectiveness of the method.