Robust state feedback H2/H∞ control for systems with real parameter uncertainties

This paper considers the robust H₂/H_∞ control problem for time invariant systems with time varying structured parameter uncertainties in the state space model. We present a simple sufficient condition in terms of a Riccati equation to design a robust controller that quadratically stabilizes the closed loop uncertain system and minimizes the H₂ performance bound with an H_∞ disturbance attenuation constraint. Finally, we also include an example and illustrate robustness of the proposed design method.