区间矩阵系统低保守性鲁棒控制器的设计

Design of Lower Conservatism Robust Controller for Interval Matrix Systems

中文关键词  不确定性系统  区间矩阵  鲁棒控制

英文关键词  uncertain systems  interval matrix  robust control

中文摘要

      对于系统矩阵和输入矩阵均为区间矩阵的不确定系统, 提出了实对称矩阵集合的最小上界和最大下界的计算方法, 并应用该方法设计区间矩阵系统鲁棒控制器, 把确定多个矩阵不等式解的复杂问题简化为求解单代数Riccati矩阵方程, 该设计方法具有较小保守性.

英文摘要

      In this paper, a method of determining the minimum upper bound and maximum lower bound of the real symmetric matrix set is proposed and applied to design the robust controller for the uncertain systems with system matrix and input matrix being interval. Thus the complex problem of determining the solution of matrix inequalities is simplified to that of solving single algebraic Riccati equation.The method is of lower conservatism.