具有结构不确定性系统的鲁棒H∞控制*

Robust H∞ Control for Systems with Structured Uncertainty

中文关键词  鲁棒H∞状态反馈控制  鲁棒H∞动态输出反馈控制  鲁棒稳定性  代数Riccati方程  结构不确定性系统  辅助的线性时不变系统

英文关键词  robust H∞ state feedback control  robust H∞ dynamic output feedback control  robust stabil-ity  algebraic Riccati equation  systems with structured uncertainty  auxiliary linear time-invariant systems

中文摘要

      本文研究具有结构不确定性系统的鲁棒H∞状态反馈控制问题， 这个问题的解涉及到一个代数Riccati方程. 通过分析， 这个问题的解与一个辅助的线性时不变系统的H∞状态反馈控制问题的解是等价的， 把这一结果用于求解具有结构不确定性系统的鲁棒H∞动态输出反馈控制问题， 很方便地给出只需求解两个代数Riccati方程的鲁棒H∞动态输出反馈控制问题的解.

英文摘要

      This paper investigates robust H∞ state feedback control problem for the systems with struc- tured uncertainty. The solution to this problem involves one algebraic Riccati equation. Through analysis it is shown that the solution to this problem is equivalent to the solution to H∞ state feedback control problem for auxiliary linear time-invariant systems. Applied this result to robust H∞ dynamic output feedback control problem for the systems with structured uncertainty, it is easy to get the solution to robust H∞ dynamic out- put feedback problem,which involves solving two algebraic Riccati equation.