【摘要】 研究了一类有色噪音驱动下的不确定系统区域稳定和方差约束的鲁棒H∞控制器的设计方法,其目的是通过设计状态反馈控制器,使闭环系统的极点被配置在给定的圆盘中,闭环传递函数的H∞范数小于所给定的一个正标量,同时闭环系统每个状态的稳态方差不高于各自给定的上界.借助于修正的Riccati矩阵不等式,给出了控制器存在的充分条件,同时给出了所期望控制器的解析式.最后,通过一个仿真例子,说明该方法的可行性.更多还原

【Abstract】 The problem of robust H_∞ controller design for a class of uncertain systems driven by nonwhite noise and with variance and D-stability constraints is studied.The aim of is to design a state feedback controller such that,for all admissible uncertainties,the closed-loop poles are placed within a specified disk,the H_∞ norm of the closed-loop transfer function is strictly less than a given positive scalar.Mean while,the steady-state variance for each state of the closed-loop system is no more than the prescribed individual upper bound.By virtue of the modified Riccati matrix inequality,the sufficient condition for existence of desired controller is obtained.Besides,the analytical expression of the set of desired controllers is also presented.Finally,an illustrative example is provided to demonstrate the applicability of the proposed method.更多还原