在新匹配条件下一类线性不确定系统的鲁棒控制

研究了一类含不确定性的线性系统的鲁棒控制问题,在前人的基础上,提出了一种更广泛意义下的匹配条件,并在此匹配条件下设计了鲁棒控制器,其鲁棒控制器的设计依赖于一方程组的解,与依赖于Ｒｉｃｃａｔｉ方程或Ｒｉｃｃａｔｉ不等式的解设计控制器相比,更便于计算·所设计的鲁棒控制器确保系统是二次稳定的·

New Matching Condition for Linear Robust Control Design

The problem of robust control for a class of uncertain linear systems was studied. A new matching condition was proposed and robust controllers were designed on the matching condition. The design of the robust controllers depends on the solution of a group of equations. The computation of this design method is easier than that of the method which depends on the solution of Riccati equation or Riccati inequality. The design of robust controllers guarantees the studied system quadratically stable.