Robust H_∞ Control for Systems with Structured Uncertainty

This paper investigates robust H∞ state feedback control problem for the systems with structured 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 output feedback problem,which involves solving two algebraic Riccati equation.